You have a 10% sugar salutation and a 30% sugar salutation and you need a 25% sugar salutation how many cups of each salution do you need to get 8 cup of 25% sugar salution let x represent numbernof cups of 10% and y represent numberbof cups 30% sugar salution what eqution represent the total valume

Answers

Answer 1

2 cups of 10% sugar solution and 6 cups of 30% sugar solution.

What is a numerical expression?

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements

Let,

x = number of cups of the 10% solution

y = number of cups of the 30% solution

As this is the whole amount we need, the two mixtures sum up to 8 cups. Consequently, the first equation is just x + y = 8

Solve for y to get y = 8-x. We'll use this equation later.

The second equation is a bit more tricky.

0.10x = amount of pure sugar from just the 10% batch

0.30y = amount of pure sugar from just the 30% batch

0.10x+0.30y = total amount of pure sugar from both batches

25% of 8 = 0.25×8 = 2 = total amount of pure sugar required

0.10x+0.30y = 2 is the second equation

Apply substitution to solve for x and y

0.10x+0.30y = 2 ..... start with the second equation

0.10x+0.30(8-x) = 2 ....... plugin y = 8 - x

0.10x + 2.4 - 0.30x = 2 ..... distribute

- 0.20x + 2.4 = 2 - 0.20x = 2-2.4 ....... subtract 2.4 from both sides

-0.20x = - 0.4

x = -0.4/(-0.20)

x = 2

Now that we know the value of x, we can find y.

y = 8 - x

y = 8 - 2 ... plug in x = 2

y = 6

So we need 2 cups of the 10% solution and 6 cups of the 30% solution.

As a check,

x + y = 2 + 6 = 8 works out

0.10x + 0.30y = 0.102 + 0.306 = 0.2 + 1.8 = 2 works out as well

learn more about numerical expressions here :

https://brainly.com/question/29199574

#SPJ1


Related Questions

if a bullet is fired at 10 m/s at an angle of 60 degrees above the horizontal, what will be its horizontal velocity right before it hits the ground?

Answers

The horizontal velocity of a bullet right before it hits the ground is 10 m/s.

The horizontal velocity of a bullet remains constant throughout its flight, as it is only affected by gravity. This means that the horizontal velocity of the bullet right before it hits the ground will be the same as the initial horizontal velocity when it was fired.

In this case, the bullet was fired at an angle of 60 degrees above the horizontal, but the horizontal velocity remains constant, so it will still be 10 m/s right before it hits the ground. To determine the vertical velocity, we would need to know the time of flight and use the equations of motion to calculate the vertical acceleration due to gravity.

Learn more about Velocity here:

https://brainly.com/question/25905661


#SPJ4


Miguel Rodriguez borrowed $300 from his brother Julio to pay for books and tuition. He agreed to pay Julio in 6 months
with simple annual interest at 6.6%. What is the simple interest?

Answers

The simple interest is given as SI = $ 9.90

What is Simple Interest?

Simple interest is a method of calculating interest that ignores the impact of compounding. While interest frequently compounds throughout the course of a loan's set periods, simple interest does not. Simple interest is calculated by multiplying the principal amount by the interest rate, times the number of periods.

Simple Interest = ( Principal Amount x Rate x Time Period ) / 100

Given data ,

Let the simple interest be represented as S

Now , the equation will be

The principal amount be P = $ 300

The rate of interest R = 6.6 %

The number of months T = 6 months = 1/2 year

So , the simple interest S = PRT / 100

Substituting the values in the equation , we get

S = ( 300 x 6.6 x 0.5 ) / 100

On simplifying the equation , we get

S = 3 x 6.6 x 0.5

S = $ 9.90

Hence , the simple interest is $ 9.90

To learn more about simple interest click :

https://brainly.com/question/17282817

#SPJ1

a) is y=3/2x proportional and what is the constant of proportionality ?
b) is -x=y proportional and what is the constant of proportionality

Answers

Answer:

In y = 3/2x,     x and y are inversely propotional

In -x = y,      x and y are directly propotional

Step-by-step explanation:

In y = 3/2x, the constant of propotionality is 3/2.

In -x = y, the constant of propotionality is -1.

Find the volume of the cylinder

Answers

Answer:

Volume

[tex]\pi r ^{2} h[/tex]

[tex]\pi = \frac{22}{7} [/tex]

[tex]r = 8[/tex]

[tex]h = 15[/tex]

[tex] \frac{22}{7} \times 8 {}^{2} \times 15 = 3015.93[/tex]

Cigarette Taxes The increases (in cents) in cigarette taxes for 17 states in a 6-month period are 60, 20, 40, 40, 45, 12, 34, 51, 30, 70, 42, 31, 69, 32, 8, 18.50 )g Find the range, variance, and standard deviation for the data. Use the range rule of thumb to estimate the stand- ard deviation. Compare the estimate to the actual stand- ard deviation.

Answers

Range: 70 - 8 = 62

Variance: To calculate the variance, first find the mean (average) of the data. Then subtract the mean from each data point, square the differences, and average the squared differences.

Mean: (60 + 20 + 40 + 40 + 45 + 12 + 34 + 51 + 30 + 70 + 42 + 31 + 69 + 32 + 8 + 18.50) / 17 = 40.47

Variance: ( (60-40.47)^2 + (20-40.47)^2 + (40-40.47)^2 + (40-40.47)^2 + (45-40.47)^2 + (12-40.47)^2 + (34-40.47)^2 + (51-40.47)^2 + (30-40.47)^2 + (70-40.47)^2 + (42-40.47)^2 + (31-40.47)^2 + (69-40.47)^2 + (32-40.47)^2 + (8-40.47)^2 + (18.50-40.47)^2 ) / 17 = 517.41

Standard deviation: The standard deviation is the square root of the variance. So, the standard deviation is sqrt(517.41) = 22.79

Range rule of thumb estimate: The range rule of thumb estimate for the standard deviation is the range divided by 4. So, the estimate is 62 / 4 = 15.5

Comparison: The range rule of thumb estimate is 15.5, while the actual standard deviation is 22.79. The estimate is not very accurate for this data set, as it is much lower than the actual standard deviation

from a set of 52 poker cards (without 2 jokers), we keep taking cards randomly one by one with replacement, until all the cards taken by us can cover all 4 shades. (1) compute the probability that we have picked exactly n cards. (2) verify that, after taking summation over n

Answers

1. To compute the probability that we have picked exactly n cards, we need to consider the number of ways to pick n cards out of 52 such that all 4 shades are represented, and divide that by the total number of possible n-card combinations from the deck of 52.

The number of ways to pick n cards such that all 4 shades are represented is given by the number of combinations of n items taken 4 at a time, with repetition allowed (denoted as C(n-1,3) or C(n+3-1,n)). This is because there are 4 shades, and we need to pick one card from each shade.

The total number of possible n-card combinations from the deck of 52 is given by C (52, n).

Therefore, the probability that we have picked exactly n cards is given by:

P(n) = C(n-1,3) / C(52, n)

2. To verify that the probability sums up to 1, we need to take the summation over all possible values of n, from n=4 to n=52:

P = sum(P(n)) from n=4 to n=52

If P is equal to 1, then the probability of picking exactly n cards over all possible values of n adds up to 1, which means that the event of picking all 4 shades is certain to occur at some point.

To know more about Probability:

https://brainly.com/question/30034780

#SPJ4

Identify all English-language sentences below that are a strict translation of the formal statement that will follow. To be a strict translation, the English-language sentence must not drop any information that is explicit in the formal statement, nor can it add any information not explicit in the formal statement. [At least one of the statements will be a strict translation.] Formal Statement: Vn e Z+, Im E Z, m < n | m + n = 0 Note: Given an integer n, if there exists an integer m such that m + n = 0, then m is called the additive inverse of n. Every non-zero integer has a non-zero additive inverse. Every integer has an additive inverse. For every positive integer, there exists a unique lesser integer that when added to the positive integer results in an answer of zero. For every positive integer, there exists at least one lesser integer such that the lesser integer is the additive inverse of the positive integer.

Answers

The additive inverse of an integer n can be expressed mathematically as Vn e Z+, Im E Z, m < n | m + n = 0, which states that if an integer m exists such that m + n = 0, then m is the additive inverse of n.

The formal statement can be expressed mathematically as:

Vn e Z+, Im E Z, m < n | m + n = 0

This statement translates to: Given an integer n, if there exists an integer m such that m + n = 0, then m is the additive inverse of n.

To understand this statement more clearly, we can use an example. Let's say n = 5. This means that we are looking for an integer m such that m + 5 = 0. In this case, m = -5, which is the additive inverse of 5. We can also calculate this mathematically. We know that m + n = 0, so we can rearrange and solve for m: m = -n. Therefore, the additive inverse of n is -n.

In summary, given an integer n, the additive inverse of n is -n. This can be expressed mathematically using the statement Vn e Z+, Im E Z, m < n | m + n = 0.

The additive inverse of an integer n can be expressed mathematically as Vn e Z+, Im E Z, m < n | m + n = 0, which states that if an integer m exists such that m + n = 0, then m is the additive inverse of n.

Learn more about additive inverse here:

https://brainly.com/question/13715269

#SPJ4

Zac is four years younger than Alex. Lucas is twice Alex’s age. The sum of the ages equal 64. How old is Alex?

Answers

Answer:30

Step-by-step explanation:

64-4=60

60/2 = 30

Charlotte is making 6 pounds of trail mix using raisins and 3 different types of nuts.
The table shows the amounts of different types of nuts that she has.

Answers

To find the exact amount of raisins Charlotte will

D. Add 7/8 pound, 1 1/2 pounds, and 2 3/8 pounds. Then subtract that total from 6 pounds.​

How to find the exact amount of raisins

From the problem, it can be deduced that Charlotte uses all of the almonds, cashews, and peanuts. hence we add the amounts of the nuts

= almonds + cashews + peanuts

= 7/8 + 1 1/2 + 2 3/8

= 19/4

= 4 3/4

hence Charlotte will need 4 3/4 pounds of nuts

The amount remaining for raisings

= 6 pounds of trail mix - total amount of nuts

= 6 pounds - 4 3/4 pounds

= 5/4

= 1 1/4

hence Charlotte will need 1 1/4 pounds of raisins

Learn more about word problem at:

https://brainly.com/question/21405634

#SPJ1

complete question

Charlotte is making 6 pounds of trail mix using raisins and 3 different types of nuts. The table shows the amounts of different types of nuts that she has.

Type of Nut Amount (in pounds)

Almonds 7/8

Cashews 1 1/2

Peanuts 2 3/8

Pecans 1 1/4

Walnuts 1 3/4

Charlotte uses all of the almonds, cashews, and peanuts that she has Which of the following explains how she can find the exact amount of raisins she needs?

A Round 7/8 pound to 1 pound, 1 1/2 pounds to 2 pounds, and 2 3/8 pounds to 2 pounds. Then add the rounded almonds and subtract that total from 6 pounds.

B. Add 7/8 pound, 1 1/2 pounds, 2 3/8 pounds, 1 1/4 pounds, and 1 3/4 pounds. Then subtract 6 pounds from that total.

C. Subtract 7/8 pound from 6 pounds, subtract 1 1/2 pounds from 6 pounds, and subtract 2 3/8 pounds from 6 pounds. Then add all three differences.

D. Add 7/8 pound, 1 1/2 pounds, and 2 3/8 pounds. Then subtract that total from 6 pounds.​

describe the x-values at which the function is differentiable. (enter your answer using interval notation.) y

Answers

The function is differentiable at these two x-values, the x-values at which the function is differentiable is (-1, 1/3).

The x-values at which the function is differentiable can be found by taking of the function and setting it equal to 0. The derivative of the function y = x3 + 2x2 - 5x + 8 is 3x2 + 4x - 5. Setting this equal to 0 and solving for x yields x = -1 and x = 1/3. So, the x-values at which the function is differentiable is (-1, 1/3).

In order to find the derivative of the function, the power rule was used. The power rule states that the derivative of a function f(x) = xn is f'(x) = nxn-1. Applying this to the function y = x3 + 2x2 - 5x + 8, the derivative is 3x2 + 4x - 5. Next, setting this equal to 0 and solving for x yields two solutions: x = -1 and x = 1/3. Since the function is differentiable at these two x-values, the x-values at which the function is differentiable is (-1, 1/3).

Learn more about derivative here:

https://brainly.com/question/25324584

#SPJ4

-There are some small cubes and some large cubes in a bag.
-The cubes are red or the cubes are yellow
-The ratio of the number of small cubes to the number of large cubes is 4:9
-The ratio of the number of red cubes to the number of yellow cubes is 3:5
a) What is the least possible number of cubes in the bag?
-All the small cubes are yellow.
b) Work out the least number of large yellow cubes in the bag.

Answers

The answers include the following:

The least possible number of cubes in the bag is 104.The least number of large yellow cubes in the bag is 45.

What is Probability?

This is referred to as the branch of mathematics concerning numerical descriptions of how likely an event is to occur,

The Red to Yellow ratio is given as 3:5.

Red = 3 to 8 and yellow = 5 to 8.

Small to Large ball ratio  = 4:9

Small = 4/13 and large = 9/13

5/8 × 9 / 13 × 104

= 5 * 9

= 45

Read more about Probability here https://brainly.com/question/251701

#SPJ1

draw segment XZ with Y in between X and Z. Label the following information. , , XY=7x,YZ=6x-11, and XZ=83 What is the value of x?

Answers

The value of x is 94/13 approximately equal to 7.23.

What is an Equation?

An equation is the statement of two expressions located on two sides connected with an equal to sign. The two sides of an equation is usually called as left hand side and right hand side.

Line segment described in the question is given below.

Given that,

Length of XY = 7x

Length of YZ = 6x - 11

Length of XZ = 83

We have the equation,

XY + YZ = XZ

7x + 6x - 11 = 83

13x = 83 + 11

13x = 94

x = 94/13 ≈ 7.23

Hence the value of x is 94/13.

To learn more about Equations, click on the link :

https://brainly.com/question/29657992

#SPJ1

A farmer in the south exports 1220kg of mangoes in one week one week has 7 days, how many kilogram of mangoes does the farmer export in two days?

Answers

Answer:

348.6 kg

Step-by-step explanation:

(1220 kg / 7 days) x 2 days = 348.6 kg

If f(x)=3x²-1 and g(x)= x+2, find (f+g)(x).
O
A. 3x3 - 2
B. 3x²+x+1
C. 4x² +1
D. 3x²+x-1

Answers

Answer:

(f + g)(x) = 3x² + x + 1

Step-by-step explanation:

[tex]\displaystyle{(f+g)(x) = f(x)+g(x)}[/tex]

Substitute f(x) = 3x² - 1 and g(x) = x + 2 in:

[tex]\displaystyle{f(x)+g(x) = (3x^2-1)+(x+2)}\\\\\displaystyle{f(x)+g(x)=3x^2-1+x+2}\\\\\displaystyle{f(x)+g(x) = 3x^2+x+1}\\\\\displaystyle{\therefore (f+g)(x) = 3x^2+x+1}[/tex]

let the direction of a vector be the angle that the vector makes with the x -axis, measured counterclockwise from that axis. find the direction of the vector a1

Answers

The direction of vector a1 is found as: Ф = 75° with the x -axis, measured counterclockwise from that axis.

Explain about the vector?A quantity or phenomena with independent qualities for both magnitude and direction is called a vector. The term can also refer to a quantity's mathematical or geometrical representation. Velocity, momentum, torque, electromagnetic fields, and weight are a few characteristics of vectors in nature.

The stated vector is (-7.765,28.978)

Angle made is estimated by the formula:

Ф = tan ⁻¹ (y/x)

In which,

y = 28.978

x = -7.765

Put the given values;

Ф = tan ⁻¹ ( 28.978/-7.765)

Ф = - 74.99

Ф = 75°

So, the direction of the vector a1 is found as: Ф = 75° with the x -axis, measured counterclockwise from that x-axis.

To know more about the vector, here

https://brainly.com/question/15519257

#SPJ4

The complete question is-

let the direction of a vector be the angle that the vector makes with the x -axis, measured counterclockwise from that axis. find the direction of the vector a1 -  (-7.765, 28.978)

What is the value of x in the triangle 5 squared2 ,x ,5 squared 2

Answers

The value of x must be less than 50.

What is triangle?

Triangle is a three sided polygon which has three vertices. The three sides are connected with each other end to end at a point which forms the angles of the triangle.

In a triangle, the sum of the lengths of any two sides must be greater than the length of the third side.

Given that the two sides have lengths 5^2 and 5^2, we can write the inequality:

x < 5^2 + 5^2

Now, we can evaluate the expressions 5^2 and 5^2:

5^2 = 25

So, x < 25 + 25 = 50.

Therefore, the value of x must be less than 50.

Learn more about triangle here: brainly.com/question/1058720

#SPJ1

What is the value of x?
Enter your answer in the box.
x =

Answers

Answer:

x=98

Step-by-step explanation:

a 7 sided shape has 900 degrees in it so

146+142+142+140+122+110=802

so

900-802=98

x=98

Solve for x.

2x−45=x+4

Answers

Answer:

x=49

Step-by-step explanation: If we have the equation 2x-45=x+4 we would first subtract x from both sides of the equation giving us x-45=4. We then have to isolate x to do this we add 45 to both sides giving us the answer x=49.

if none of these structures will allow the flying crow to break the walnut without it being stolen, the crow must fly away to another location. given that the average crow can take off from a standing position at a speed of 19 feet per second, what should the flying crow do? explain your answer.

Answers

Answer: Based on the information given, it seems like the crow is unable to break open the walnut in its current location without it being stolen. To overcome this problem, the best solution would be for the crow to fly away to another location where it can safely break open the walnut. With a take-off speed of 19 feet per second, the crow should be able to quickly reach a new location where it can safely open the walnut.

Step-by-step explanation:

Areas of figure please help it’ll try to give branliest

Answers

Are you on the app or on the website since I saw you didn’t add picture and you said you couldn’t?

Solve: -3(x + 7) = 0 0 and -7 -7 -3 and -7 None of these choices are correct.

Answers

The solution of the equation -3(x+7)=7 is x=-7.

How to solve an algebric expression:

An algebraic expression is a mathematical phrase that contains numbers and/or variables. Though it cannot be solved because it does not contain an equals sign (=), it can be simplified. You can, however, solve algebraic equations, which contain algebraic expressions separated by an equals sign.

To solve the given equation:

-3(x+7)=0

Now I need to find the value of x by sorting the variables. This expression has an x ​​variable, so find the value of the variable.

The formula is:

-3(x+7) =0

give:

-3(x+7) =0

(divide both sides of the equation by the coefficient of the variable)

x+7=0

(reorder variables on the left side of the expression)

x=-7

The answer is x= -7.

To more about variable, visit:

https://brainly.com/question/15078630

#SPJ1  

The graph shows the position (distant from home) of a bicycle rider on a 42-minute trip. Letters A through E are time intervals during the trip. The key defines the length of each interval.

Use the equation below to calculate the bicycle rider’s average speed in kilometers per minute for the first 30 minutes of the trip

Distance(km)/time(min) = average speed

Answers

The average speed on the first 30 minutes is 0.2 km per min.

How to get the average speed?

Here we have the graph for the position of a bycicle rider on a 42-minute trip.

On the vertical axis we can see the position, and on the horizontal axis we can see the time.

Remember that:

speed = distance/time.

To find the average speed on the first 30 min, we need to take the quotient between the position after 30 minutes and 30 min.

At 30 min we can see that the position is at 6 km, then the speed will be:

S = 6km/30min = 0.2 km per min.

Learn more about speed at:

https://brainly.com/question/4931057

#SPJ1

As you were orginizing your closet you counted 20 shirts and 12 pairs of pants what was the pants to shirts ratio

Answers

The ratio of the given distribution of  pants to shirts is; 5:3

How to solve ratio problems?

The ratio of shirts to pants can be expressed by putting the number of shirts and pants in the following way;

Number of shirts       :        Number of pants

20                               :                   12

Then we will have to reduce this ratio to the lowest term by dividing by the highest common factor of both numbers.

The highest common factor of 12 and 20 is 4 and as such when divided by 4 we get:

20/4 : 12/4

= 5 : 3

This represents the ratio.

Read more about ratio problems at; https://brainly.com/question/2328454

#SPJ1

Will give brainliest

Answers

The minimum value on the interval [-11, 5] is -19, and the maximum value is 28.

What is linear function?

In mathematics, a linear function is a function that expresses the relationship between two variables, x and y, in the form of y = mx + b, where m denotes the slope of the line and b the y-intercept. A linear function has a graph that is either a straight line passing through the origin if b = 0 or a point (0, b) if b 0.

A number of applications can benefit from linear functions because of their numerous beneficial characteristics. One of these characteristics is that they are always continuous, i.e., their graphs are seamless and devoid of gaps. They are the best candidates for simulating actual scenarios when two variables have a continuous relationship because of this characteristic.

According to question:

The function f(a) = Va + 3 is a linear function, and all linear functions have a minimum and maximum value that occur at either endpoint of the interval. In this case, the interval is [-11, 5].

To find the minimum value, we evaluate the function at -11:

f(-11) = V(-11) + 3 = -22 + 3 = -19

To find the maximum value, we evaluate the function at 5:

f(5) = V5 + 3 = 25 + 3 = 28

Therefore, the minimum value on the interval [-11, 5] is -19, and the maximum value is 28.

Minimum: -19

Maximum: 28

To know more about linear function visit:

https://brainly.com/question/14695009

#SPJ1

What is the equation of this line in slope-intercept form?

y=-2/3x+1

y=2/3x+1

y=3/2x+1

I don’t know

Answers

The equation of the line is y = -2/3x + 1

How to detemrine the equation of the line

From the question, we have the following parameters that can be used in our computation:

The graph

On the graph, we have the following highlights

The graph intersect the y-axis at y = 1

This means that the intercept c is 1

Also, as x changes by 1, the y values changes by -2/3

This mean sthat the slope is -2/3

So, we have

y = mx + c

This gives

y = -2/3x + 1

Hence, the equation is y = -2/3x + 1

Read more about linear function at

brainly.com/question/15602982

#SPJ1

The y-intercept of the estimated line of best fit is at (0,b). Enter the appropriate value of b.

Enter the appropriate slope of the estimated line of best fit.
please ♥️​

Answers

Since the y-intercept of the estimated line of best fit is at (0, b), the appropriate value of b is 360.

The appropriate slope of the estimated line of best fit is -30

What is y-intercept?

In Mathematics, the y-intercept is also referred to as an initial value and the y-intercept of any graph such as a linear function, generally occur at the point where the value of "x" is equal to zero (x = 0). Therefore, the y-intercept is at (0, 360).

How to calculate the slope of a line?

In Mathematics, the slope of any straight line can be determined by using this mathematical equation;

Slope (m) = (Change in y-axis, Δy)/(Change in x-axis, Δx)

Slope (m) = (y₂ - y₁)/(x₂ - x₁)

Based on the information provided, we can logically deduce the following data points on the line:

Points on x-axis = (12, 0).Points on y-axis = (0, 360).

Substituting the given points into the slope formula, we have the following;

Slope, m = (y₂ - y₁)/(x₂ - x₁)

Slope, m = (360 - 0)/(0 - 12)

Slope, m = -30.

Read more on slope here: brainly.com/question/3493733

#SPJ1

One number is 4 more than another. If 3 times the smaller number is equal to twice the larger increased by 5. Find the numbers

Answers

The smaller number is x and the larger number is 17

What is an Algebraic Expression?

An algebraic expression in mathematics is an expression which is made up of variables and constants, along with algebraic operations (addition, subtraction, etc.). Expressions are made up of terms.

Given here: One number is 4 more than another. And 3 times the smaller number is equal to twice the larger increased by 5.

Let the smaller number be x then we have

3x=2(x+4)+5

3x-2x=8+5

x=13

Thus the smaller number is x and the larger number is 17

Learn more about algebraic expressions here:

brainly.com/question/29159730

#SPJ1

implement simple thresholding for rgb color images by thresholding each (scalar-valued) color channel individually and then merging the results by performing a pixel-wise and operation. compare the results to those obtained by thresholding the corresponding grayscale (luminance) images.

Answers

Thresholding is the simplest method of image segmentation. It is a non-linear operation that converts a gray-scale image into a binary image where the two levels are allowed to pixels that are below or above the specified threshold value.

In other words, if the pixel value is greater than a threshold value, it is assigned one value (maybe white), or else it is assigned another value (maybe black). In OpenCV, we use cv2.threshold() function.

cv2.threshold(src, thresh, maxval, type[, dst])

This function put fixed-level thresholding to a single-channel array. The function is used to get a binary image out of a grayscale image or for removing noise, that is, filtering out pixels with too small or too large values.

Read more about threshold value:

https://brainly.com/question/13327021

#SPJ4

If a model of the hexagon is made by using a scale factor of 6, which applies to the model? Select two options..

Answers

The effect of scaling on a hexagon by the scale factor of 6 is discussed above.

What is a hexagon?

In geometry -

a hexagon is a six-sided polygon creating the outline of a cube. the total of the internal angles of any simple hexagon is 720°.

Given is a model of the hexagon that is made by using a scale factor of 6.

If the initial length is equivalent to {a}. Then, after the scaling by the scale factor of {K}, the length becomes {Ka}. So, we can write the perimeter of the hexagon, before and after the scaling as -

P{i} = P{before scaling} = 6 x side = 6a

P{i} = 6a                                                             ... Eq { 1 }

P{f} = P{after scaling} = 6 x 6a = 36a

P{f} = 36a                                                           ... Eq { 2 }

The total of the internal angles of the hexagon will remain 720° only.

Therefore, the effect of scaling on a hexagon by the scale factor of 6 is discussed above.

To solve more questions on scale factors, visit the link below -

brainly.com/question/26182329

#SPJ1

each of the following three data sets represents the iq scores of a random sample of adults. iq scores are known to have a mean and median of 100.

Answers

a) The mean of the sample of size 5 is equals to 103.

b) The mean of the sample of size 12 is equals to 103.3.

c) Median of sample of size 5 is 104.

d) Median sample of size 30 is 105.5.

Mean: Sum of observations is divided by number of observations in the sample is named as mean, which is denoted by X- bar. Moreover, the sample mean signifies the measure of centre of the data.

X-bar = (x₁ + x₂ + --- + xₙ)/n

Median: Median divides the observations into two equal parts. It represents the middle value for a set of observations when they are arranged in order of magnitude. There are two cases arises.

Case (1): Sample size (n) is odd: First, arrange the data in ascending order. Then, the median is the middle value and lies at the position.

Case (2): Sample size (n) is even: First, arrange the data in ascending order. Then, the median is the mean of the two data values that lie on either side of the position. Median = ( n/2)ᵗʰ term , n is odd

=[(( n/2)ᵗʰ term + (n/2 + 1)ᵗʰ term]/2, n is even

Now, a) Mean of first sample with sample size, n = 5.

Sum of values = 105 + 111 + 97 + 94 + 108 = 515

So, mean = 515/5 = 103

b) Sample 2, sample size , n = 12

Sum of values = 105 + 111 + 97 + 94 + 108 + 101 + 112 + 114 + 103+ 102+ 91 + 101

= 515 + 724 = 1239

Mean = 1239/12 = 103.25

c) Now, we have to determine median for sample size 5. Here, sample values are odd in number, i.e., 5. So, middle term is median after arranging in order. Ascending order is 94,97, 104, 108, 111 and middle term is 104, so median is 104.

d) Now, we have a sample of size 30, which is an even number. First arrange the numbers in ascending order as 91,92,92,94,95,97,100,101,101,101,101,102,103,105,105,105,106,107,107,108,110,111, 111, 112,113,114,115,115,116,116. So,

Median is [((n/2)th + (n/2 + 1)th ]/2 i.e, [ 30/2)th + 30/2 + 1)th ]/2

=( 15th + 16th)/2 ( observations)

= (105 + 106 )/2 = 211/2 = 105.5

Hence, the median of sample size 30 is 105.5.

To learn more about Median , refer:

https://brainly.com/question/16408033

#SPJ4

Complete question:

See the above figure, each of the following three data sets represents the iq scores of a random sample of adults. iq scores are known to have a mean and median of 100.

a) What is the mean of the sample of size 5? Full data set Sample of Size 108 114 (Type an integer or decimal rounded to one decimal place as needed._ Sample of Size 12

b) What is the mean of the sample of size 12? 114 105 115 (Type an integer or decimal rounded to one decimal place as needed:)

c) What is the median of the sample of size 5? (Type an integer or decimal rounded to one decimal place as needed:)

d) What is the median of the sample of size 30? (Type an integer or decimal rounded to one decimal place as needed:)

Other Questions
how to find measurements In 1863 John Newlands presented a paper, classifying the 56 discovered elements into 11 groups based on similar physical properties. He noted that pairs of similar elements existed which differed by some multiple of eight in atomic weight. In 1864 Newlands published his version of the periodic table and proposed the Law of Octaves, stating that any given element exhibits analogous behavior to the eighth element following it in the table. Dimitri Mendeleev noticed patterns in the properties and atomic weights of halogens, alkali metals and alkaline metals. He also observed similarities between the series CI-K-Ca, Br-Rb-Sr and I-Cs-Ba. In an effort to extend this pattern to other elements, Mendeleev created a card for each element, containing the element's symbol, atomic weight, and chemical and physical properties. As Mendeleev arranged the cards in order of ascending atomic weight, grouping elements of similar properties together, the periodic table was formed. Although Mendeleev's table demonstrated the periodic nature of elements, during the next century, scientists accurately explained why the properties of the elements recur periodically.Rutherford discovered nuclear charge and this charge, later termed the atomic number, was used to number the elements within the periodic table. Finally variations of the same elements, or isotopes having the same number of protons and electrons but differing numbers of neutrons, were discovered. How did later discoveries change the model of Mendeleev's periodic table to what we accept today? which one of the following depicts an accurate description of the household survey and the establishment survey? the literature review accomplishes several purposes. which of the following describe(s) those purposes? what standard is set by the fnb to indicate ranges of carbohydrate, fat, and protein intakes that provide adequate amounts of vitamins and minerals and may reduce the risk of diet-related chronic disease? IN YOUR OWN WORDS, what was Hellenism? Explain. Please answer in at least one well edited paragraph. a boat is traveling east across a river that is 112 meters wide at 8 meters per second. If the river has a northeast current of 5 meters per second, what is the resultant speed of the motorboat rounded to the nearest tenth? justin had 3 rolls of ribbon. he used 1/5 of a roll of ribbon to tie a parcel and 2/5 of another roll of ribbon to tie a present. how many rolls of ribbon did he use in all? hat does it reveal about settlements in north america in the seventeenth and early eighteenth centuries? inquizative choose one real utterance which you have heard in spoken conversation recently. give an exact quotation of it and describe the context in which the utterance took place. how did you interpret the utterance at the time, and how did other people seem to interpret it? next, explain which aspects of this interpretation you think are due to the semantics of the uttered words/phrases/sentences, and which aspects are due to pragmatics. was there information conveyed that was not part of the semantic meaning? if so, what was it, and how might pragmatic factors have caused this information to be conveyed? did the uttered words/phrases/sentences have meanings which were not part of what was conveyed in context? if so, what were they, and how might pragmatic factors have prevented them from being conveyed? explain and justify your answers. Is lipid structure in foods you eat linked to heart disease?The media is full of advice on what you should and should not eat, but these recommendations often change from year to year. You may have heard that polyunsaturated fats are heart healthy and saturated fats are not, but is it really that simple?How you prepare food can affect the amount of saturated fats that you eat. For example, if you cook meat on a grill, the product will have less saturated fat than if you were to eat the same meat raw. What occurs during the process of cooking the meat on a grill that would explain this result?a. The saturated fat in meat undergoes a change in its physical state as it is heated from a semisolid consistency to a liquid. When meat is grilled, the liquefied fat drips off, resulting in less saturated fat in the final product. b.The saturated fat in meat undergoes a change in its chemical state as it is heated from saturated to unsaturated. When meat is grilled, the saturated fat transforms, resulting in less saturated fat in the final product. c. The saturated fat in meat undergoes a change in its physical state as it is heated from a semisolid consistency to a liquid and then to a gaseous. When meat is grilled, the liquefied fat boils and evaporates, resulting in less saturated fat in the final product. d. The saturated fat in meat undergoes a change in its physical state as it is heated from a semisolid consistency to a liquid. Fatima is on the board of directors of Tyson Inc. Fatima never attends board meetings and never inspects the books of the company. The board hires Alexis as the chief executive officer (CEO) of Tyson. For the next two years, while Alexis is serving as CEO, Alexis delegates important tasks to employees who are not trained for the tasks, fails to monitor the corporate bank accounts, and approves several high-dollar contracts without making reasonable inquiries about them. Alexis also enters into two contracts on behalf of the corporation with other companies in which she owns an interest. If Tyson suffers a loss because of Alexiss actions:A. both Alexis and Fatima can be held liable.B. only Alexis can be held liable, because all these decisions are her responsibility.C. only Fatima can be held liable, because Alexis is protected by the business judgment rule.D. neither Alexis nor Fatima can be held liable. Esperanza Rising BookWhen Esperanza arrives at the work camp and sees the living conditions,how does she react? If you were Esperanza, would you have reacted thesame way, or differently? Explain your answer. 1. Which literary genres have you had the opportunity to read? Which is your favorite genre, and what isthe name of your favorite piece in that genre? Why do you like it better than other types of writing? The points (-5, -7) and (1, r) lie on a line with slope 4. Find the missing coordinate r read the passage.(1) fights have been a part of hockey for decades, but should they continue to characterize the sport? (2) for my part, i believe that fighting should not be allowed in hockey. (3) hockey fights lead to injuries for the players, such as pulled muscles and concussions. (4) hockey fights are often staged to encourage people to attend the events, and then they set a poor example for fans watching, particularly children. (5) if we let children watch this kind of violence, they will think it is acceptable to act that way at school. (6) these athletes know that children look up to them, and they do not worry about the message their careless fights are teaching. Safeco growth rate for the future is 8% recent dividends 1.76 What is the value of the stock when the required return is 10% Slope= 2/3 Point= (1, -3) Write in point slope form most galaxies, including our own milky way, have supermassive black holes at their centers. recently, astronomers were able to track one star, named s2, as it orbited the black hole at the center of our galaxy. the star's actual orbit is elliptical, but we'll model it as a circular orbit. s2 has a period of 15 years and an orbit radius of 1000 au, where 1 au John Fibernugget wants to increase his fiber intake. Which of the following would be the safest way for him do this?Select one:a. Eating enriched grains such as Rice Krispies and Saltinesb. Buying bran and fiber supplements to add to his current dietc. Reading the labels of grain products and buying those labeled "wheat flour"d. Eating more fruits and vegetables and not removing the edible peels