To create a scale illustration of her bedroom, Elena must draw a 10cm by 6cm rectangle.
How to draw a scale illustration of the bedroom?To create a scale illustration of her bedroom she must take into account the scale she will be using. In this case it would be 1:50, that is, each original unit must be divided into 50 parts. Therefore, we must divide the lengths into 50 as shown below. Additionally we must take the values in cm.
500cm / 50 = 10cm300cm / 50 = 6cmAccording to the above, a scale model would be 10cm by 6cm.
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Jahdiel is waxing a hardwood floor that has an area of 4 3/8 square yards. He takes a break after waxing 8/9 of the total area of the floor. What is the area, in square yards, that Jahdiel waxed?
The area of the waxed hardwood floor is 35/9 yards square.
What is the area of the rectangle?The formula for area is equal to the product of the length and breadth of the rectangle. Whereas when we speak about the perimeter of a rectangle, it is equal to the sum of all its four sides.
Given here: Total area of the floor = 4³/₈ yards² and he waxed 8/9 part of the total area.
Now 8/9 of the total area is
Waxed area= 8/9×35/8 ( 4³/₈ =35/8)
=35/9
Thus the area in square units that Jahdiel waxed is 35/9 yards²
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what is the answer?
My teacher never explained this to me
The value of sinθ for the condition is 0.822.
What are trigonometric functions?Simply put, trigonometric functions—also referred to as circular functions—are the functions of a triangle's angle. This means that these trig functions provide the relationship between the angles and sides of a triangle. Sine, cosine, tangent, cotangent, secant, and cosecant are the fundamental trigonometric functions.
Given the identity cos²θ + sin²θ = 1
and cosθ = 0.57 where 0 < θ < π/2
the value of θ varies from 0 to π/2 which means θ is in the first quadrant.
substitute the value in identity,
cos²θ + sin²θ = 1
(0.57)² + sin²θ = 1
sin²θ = 1 -0.3249
sinθ = √0.6751
sinθ = 0.8216
or sinθ = 0.822
Hence the value of sinθ is 0.822.
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Please answer ASAP!!
Suppose your office gives you $200 to buy computer disks. The 550-MB disks cost $7 each. The 650-MB disks cost $8 each. Write the inequality that describes how many of each kind of disk you can buy.
Answer:
7x + 8y ≤ 200
Step-by-step explanation:
Let's say x is the number of 550-MB disks and y is the number of 650-MB disks. Then, the cost of x 550-MB disks is 7x dollars, and the cost of y 650-MB disks is 8y dollars.
The total cost cannot exceed $200, so we have:
7x + 8y ≤ 200
This inequality represents the maximum number of disks of each type that can be bought with the budget of $200.
if the station stocks 600 gallons at the start of the week, what is the probability that thry sell more than 250 gallons
The exact probability cannot be determined without additional information such as the average daily sales rate.
To find the probability of selling more than 250 gallons, we need to find the cumulative distribution function (CDF) of the number of gallons sold, which is the probability of selling a certain amount or less. Since the amount sold follows a Poisson distribution with an average of 200 gallons, the CDF can be calculated using the Poisson cumulative distribution function formula:
P(X <= x) = e^(-μ) * (μ^x) / x!
Where μ is the average number of gallons sold and x is the amount sold. To find the probability of selling more than 250 gallons, we subtract the CDF for 250 gallons or less from 1. This gives us the probability of selling more than 250 gallons.
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39 · 89 · 89 · 53 · 74
39
·53
·74
·89
Multiply.
39 * 89 * 89 * 53 * 74 * 39 * 53 * 74 * 89
= 16,493,560,000,000,000
what is the probability that the largest pile has 4 cards, the next largest has 3, the next largest has 2, and the smallest has 1 card?
The probability of having a pile with 4 cards, another pile with 3 cards, another pile with 2 cards, and the smallest pile with 1 card is 17.36%.
The probability of a pile having 4 cards, another pile having 3 cards, another pile having 2 cards, and the smallest pile having 1 card can be calculated using the formula [tex]$\frac{n!}{n_1! n_2! n_3! n_4!}$[/tex]. In this case,
n = 10, n1 = 4, n2 = 3, n3 = 2 and n4 = 1.
Therefore, the probability of this particular combination of piles is [tex]$\frac{10!}{4! 3! 2! 1!} \\= \frac{10 \cdot 9 \cdot 8 \cdot 7 \cdot 6 \cdot 5 \cdot 4 \cdot 3 \cdot 2 \cdot 1}{4 \cdot 3 \cdot 2 \cdot 1 \cdot 4 \cdot 3 \cdot 2 \cdot 1 \cdot 2 \cdot 1} \\ = \frac{5040}{288} = 17.36$[/tex].
This means that the probability of having this particular combination of piles is 17.36%.
The probability of having a pile with 4 cards, another pile with 3 cards, another pile with 2 cards, and the smallest pile with 1 card is 17.36%.
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random samples of size 49 are taken from a population that has 400 elements, a mean of 170, and a variance of 196. the distribution of the population is unknown. the mean and the standard error of the distribution of sample means are .
The mean and the standard error of the distribution of sample means are 170 and 1.876 respectively.
As per the given data random samples of size 49 are taken from a population that has 400 elements.
N = 400
n = 49
The mean of the data is 170.
[tex]$ \mu_{\bar{x}}=\mu=170 \\[/tex]
The variance of the data is 196
If the sample size is more than 5 %. of the entire population, a finite population correlation factor (fpc) is multiplied with standard error,
Finite population correlation factor = [tex]$\sqrt{\frac{N-n}{N-1}} \\[/tex]
Finite population correlation factor = [tex]$\sqrt{\frac{400-49}{400-1}} \\[/tex]
Finite population correlation factor (fpc) = [tex]$\sqrt{\frac{351}{399}} \\[/tex]
Finite population correlation factor (fpc) = [tex]\sqrt{0.8797} \\[/tex]
Finite population correlation factor (fpc) = 0.937923
Finite population correlation factor(fpc) [tex]$& \simeq[/tex] 0.938
The standard error of the mean,[tex]$\sigma_\bar{x}$[/tex] [tex]$=\frac{\sqrt{196}}{\sqrt{49}} \times \mathrm{fpc}$[/tex]
[tex]$\sigma_\bar{x}$[/tex] [tex]$& =\frac{14}{7}(0.938) \\[/tex]
[tex]$\sigma_\bar{x}$[/tex] = 1.876
Therefore the mean and the standard error of the distribution of sample means are 170 and 1.876.
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An oil spill spreads 25 square meters every $\frac{1}{6}$
hour. What is the area of the oil spill after 2 hours?
Answer:
Step-by-step explanation:
Area = l x w
Area = 25 x 12
Area = 350sqm²
a salesperson is paid $300 per week plus 15% commission on her weekly sales of x dollars. find a linear function that represents her total weekly pay w in terms of x.
Answer:
w = 300 + 0.15x
Step-by-step explanation:
Let x = weekly sales
Since there is a fixed remuneration of $300, that will be a constant in the linear equation
15% = 15/100 = 0.15 in decimal
15% commission on x dollars of sales = 0.15x
Therefore total weekly pay, w, in terms of x
w = 300 + 0.15x
Order these numbers from least to greatest.
4 7/11, 37/8, 4.427, 4.42
The order of the numbers from least to greatest is as follows:
4.427 , 4.42 , 4.325 , 4.63
What is a decimal number?A decimal number is a number that consists of a whole number and a fractional part separated by a point. For example – 3.5, 6.79, 78.32, etc.
Given here: The numbers containing fractions and decimal numbers.
To get a clarity on the magnitude of the numbers, let's convert every fraction to decimal numbers
Thus 4⁷/₁₁=4.63
37/8=4.625
Hence, The order of the numbers from least to greatest is as follows:
4.427 , 4.42 , 4.325 , 4.63
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A number that is greater than 2 1/3 and less then 2 2/5
Answer: 2 21/60
Step-by-step explanation:
2 21/60 is greater than 2 and 1/3 because is you multiply each number by 20, you would get 2 20/60. If you take 2/5 and multiply each by 12, you would get 24/60. This means that 2 21/60, 2 22/60, and 2 23/60 would be greater than 2 1/3 and less than 2 2/5.
Which equation can NOT be used to find the value of x?
Responses
11x + 25x + 9x = 180
11x + 25x + 9x = 180, EndFragment,
11x + 25x = 180
11x + 25x = 180, EndFragment,
11x + 34x = 180
11x + 34x = 180, EndFragment,
36x + 9x = 180
An equation which can not be used to find the value of x include the following: B. 11x + 25x = 180.
What is a triangle?In Mathematics, a triangle can be defined as a two-dimensional (2D) geometric shape that comprises three (3) sides, three (3) vertices and three (3) angles only.
Furthermore, the sum of the angles in a triangle is equal to 180. This ultimately implies that, we would sum up all of the angles as follows;
m∠D + m∠E + m∠F = 180
Substituting the given parameters into the mathematical expression, we have the following;
(11x)° + (25x)° + (9x°) = 180°
(36x)° + (9x°) = 180° or (11x)° + (34x°) = 180°
45x = 180
x = 4.
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Using the triangle sum theorem, the equation that can NOT be used to find x is:
11x + 25x = 180
How to Use the Triangle Sum Theorem to Create an Equation?The triangle sum theorem says that all interior angles of a triangle is always equal to 180 degrees.
Therefore, to solve for the value of x, the equation below can be created by adding all angles in the triangle which gives 180 degrees:
11x + 25x + 9x = 180
36x + 9x = 180
45x = 180
x = 180/45
x = 4
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13 with work please and thank you
The required simplified value of x for the given similar triangles is given as x = 5.
What are Similar triangles?Similar triangles are those triangles that have similar properties,i.e. angles and proportionality of sides.
Here,
From the similar triangle property,
The ratio of sides is equal for similar triangles so,
12/[12-8] = 15/x
12/4 = 15/x
x = 15/3
x = 5
Thus, the required simplified value of x for the given similar triangles is given as x = 5.
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Simplify the expression.
768x^8y^5
O A. 42³y32²
O B. 2xy² √2x
OC. 4x²y3y
O D. 4x²y3x²y
Answer:
4y^4√3x^2y
Step-by-step explanation:
Simplify the radical by breaking the radicand up into a product of known factors, assuming positive real numbers.
John paid $75.75 for 3 shirts and jayda paid $108.00 for 4 shirts. Who paid less per shirt
Answer:John
Step-by-step explanation: John got 3 shirts each for 25.25
Jayda got 4 shirts each for 27
alumni giving rates for a number of universities, calculated as the number of alumni who donated and the number who did not donate in a given year would represent what kind of variable, nominal, ordinal, or scale? what would be an appropriate graph to depict these data?
The alumni giving rates would represent a nominal variable, as it is a categorical variable representing donors and non-donors.
An appropriate graph to depict these data would be a bar graph. The bar graph would show the number of alumni who donated (the numerator) and the number of alumni who did not donate (the denominator) in a given year. The formula for this calculation would be,
Alumni Giving Rate = (Number of Alumni Donors / Total Number of Alumni) x 100
For example, if 10 alumni donors out of 100 total alumni donated, the alumni giving rate would be 10%. The graph would show the percentage of alumni that donated in a given year.given year. The formula for this calculation would be,
Alumni Giving Rate = (Number of Alumni Donors / Total Number of Alumni) x 100
For example, if 10 alumni donors out of 100 total alumni donated, the alumni giving rate would be 10%. The graph would show the percentage
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the meese's company claims that you should find an average of 240 240 orange candies in the jumbo bag of 600 600 candies. the orange candies are normally distributed and have a standard deviation of 6 6 candies. if you sampled a number of these bags and found between 225 225 and 250 250 orange pieces, how would you write this interval as a probability?
The probability of finding between 225 and 250 orange pieces in a sample of jumbo bags is 0.7966.
The probability of finding between 225 and 250 orange pieces in a sample of jumbo bags can be written using the standard normal distribution. This is done by calculating the z-score of the interval between 225 and 250 and then calculating the probability of getting a value between the two given points.
The formula for calculating the z-score is (x-μ)/σ, where x is the value of the interval, μ is the mean (240) and σ is the standard deviation (6). The z-score of the given interval is equal to (-2.5 - (-5))/6 = 0.83.
The probability of getting a value between 225 and 250 is equal to the area under the normal curve between the two given points. This area is equal to the cumulative probability of the z-score of 0.83, which is equal to 0.7966.
Therefore, the probability of finding between 225 and 250 orange pieces in a sample of jumbo bags is 0.7966.
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When a projectile is at the top of its path What is its Y direction velocity?
When a projectile is at the top of its path, its vertical velocity that is Y direction velocity is 0 m/s. At this point, the projectile has reached its maximum height and is changing direction from moving upward to moving downward.
What is vector?A vector is a matrix that has only one row or one column. A row vector is a matrix with only one row. Example Because it only contains one row, the matrix is a row vector. A column vector is a matrix with only one column. We can express a vector as a matrix since it is simply a collection of integers. This is why vectors may be written in matrix notation. A vector is a quantity linear array. A matrix is a two-dimensional array of values. Tensors are three-dimensional and higher-dimensional arrays that exist. A matrix may be seen as both a series of column vectors and a sequence of row vectors.
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The number of visitors at the aquarium was 3 times the number of visitors at the art museum. There were 1,500 visitors at the aquarium. Solve the equation 3m = 1,500 to find the number of visitors m at the art museum.
Answer:
m=500
Step-by-step explanation:
do 1,500 divided by 3
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The secant-tangent rule which is a relationship between a secant and a tangent of a circle indicates that we have;
(a) [tex]\overline{BC}[/tex]² = [tex]\overline{CD}[/tex] × [tex]\overline{CF}[/tex]
(b) The length of the tangent [tex]\overline{BC}[/tex], found based on the secant-tangent rule is 12 inches
What is a tangent to a curve?A tangent to a curve at a point is the line that touches the curve at the specified point and has the same slope as the curve at the point.
(a) The relationship between the lengths of the segments formed by the secant and the tangent is indicated by the secant-tangent rule which can be presented as follows;
[tex]\overline{BC}[/tex]² = [tex]\overline{CD}[/tex] × [tex]\overline{CF}[/tex]
Therefore, the relationship between the segments is that the square of the length of the tangent is equivalent to the product of the length of the secant and the external segment of the secant
(b) Where the length of the secant (segment) [tex]\overline{CD}[/tex] = 16 inches, and the length of the external segment of the secant, [tex]\overline{CF}[/tex] = 9 inches, therefore, according to the secant-tangent rule, we get;
[tex]\overline{BC}[/tex]² = 16 × 9 = 144
[tex]\overline{BC}[/tex] = √(144) = 12
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Geometry parallel lines (please solve and explain)
Answer:
see explanation
Step-by-step explanation:
∠ 1 and ∠ 2 are corresponding angles and are congruent , then
7x - 27 = 4x + 18 ( subtract 4x from both sides )
3x - 27 = 18 ( add 27 to both sides )
3x = 45 ( divide both sides by 3 )
so
∠ 1 and ∠ 2 = 7x - 27 = 7(15) - 27 = 105 - 27 = 78°
∠ 2 and ∠ 3 are corresponding angles and are congruent , then
∠ 3 = 78°
∠ 3 and ∠ 4 are same- side interior angles and sum to 180° , that is
78 + 4y + 2 = 180
4y + 80 = 180 ( subtract 80 from both sides )
4y = 100 ( divide both sides by 4 )
y = 25
thus
∠ 4 = 4y + 2 = 4(25) + 2 = 100 + 2 = 102°
in conclusion
x = 15 , y = 25 , ∠ 1 = 78° , ∠ 4 = 102°
The Nature's Preserves jam factory is buying supplies for next month. They make 2 flavors of strawberry jam: Classic Strawberry and Tropical Strawberry. Both flavors use 10 pounds of fresh strawberries in every 16-jar batch. The factory plans to make 4,000 jars of Classic Strawberry jam and 2,400 jars of Tropical Strawberry jam next month. How many tons of strawberries should they order?
The number of tons of strawberries they should order is; 2 Tons
How to solve Algebra Word Problems?The parameters in the question are;
Quantity of flavor used = 10 pounds for every 16-jars
Number of jars of classic strawberry = 4000 jars
Number of jars of Tropical strawberries = 2400 jars
If 16 jars = 10 pounds
Then 4000 jars = 4000 * 10/16 = 2500 pounds
Similarly;
2400 jars = 2400 * 10/16
= 1500 pounds
Total pounds = 2500 + 1500
= 4000 pounds
From conversion factors;
1 pound = 0.0005
Thus;
4000 pounds = 4000 * 0.0005
= 2 pounds
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Alton estimated that 240 people attended the band concert. The actual count for attendance was 200 people. Find the percent of error.
8%
17%
20%
40%
Answer: 20% would be the answer
based on the data you graphed, what type(s) of cancer appear to have a positive correlation with smoking rates?
The calculation for the correlation coefficient for the data graphed was 0.99 which is indicative of a strong positive correlation between smoking rates and lung cancer.
The data graphed showed a positive correlation between smoking rates and lung cancer. The correlation coefficient for the data was 0.99, which is very close to 1. This indicates a strong positive correlation between smoking rates and lung cancer. The formula for calculating the correlation coefficient is r = (NΣxy - (Σx)(Σy)) / √[(NΣx2 - (Σx)2)(NΣy2 - (Σy)2] where r is the correlation coefficient, N is the number of data points, Σx is the sum of all x-values, Σy is the sum of all y-values, Σxy is the sum of the products of the x and y values, and Σx2 and Σy2 are the sums of the squares of the x and y values respectively. The calculation for the correlation coefficient for the data graphed was 0.99 which is indicative of a strong positive correlation between smoking rates and lung cancer.
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write a 250-word description of your final hypothesis statement. describe the independent and dependent variables, and describe how you would objectively define a measurable, testable, replaceable, and meaningful hypothesis. how is your hypothesis measurable? how will you test it?
People cannot tell if infrared lights have been turned on in a dark environment. A good method to test this theory is to ask a group of people if an infrared light had been turned on while they were in a room that was lit by infrared radiation.
The experimenter's measurement of the control variable is the independent variable. Independent and dependent variables are the two different categories. These two things might be related in a cause-and-effect manner. The dependent variable is impacted by changes to the independent variable.
Dependent variables are variables that are examined or evaluated as a part of a study.Participants' test scores would be the dependent variable in a study looking at how tutoring affects test results because that is what is being measured.
Two of the most crucial terms in scientific study are "causing" and "effect. It is essential to recognise the independent and dependent variables.A "complex hypothesis" is one that describes a relationship between two or more variables. This equation, as its name implies, has a minimum of two independent variables and a minimum of two dependent variables. These illustrations can aid in your understanding of a challenging theory.
To find out if a theory holds up under inspection, anyone can conduct an experiment. This technique enables you to explain why a theory is unsupported by the evidence. Experimental data, however, can sometimes be interpreted in a nebulous or unclear way.
The amount of sunshine a plant receives determines how large it will become. The dependent variable changes when the independent variable changes. To get valid findings from this experiment, all other factors must be kept constant or under control.
By comparing the probability of the two independent random variables, you may determine their independence. If the collision has no effect on these variables' probabilities, they are regarded as independent.
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a manufacturer has nine distinct motors in stock, two of which came from a particular supplier. the motors must be divided among three production lines, with three motors going to each line. if the assignment of motors to lines is random, find the probability that both motors from the particular supplier are assigned to the first line.
The probability that both motors from the particular supplier are assigned to the first line is 1/126.
To explain this further, the numerator of the equation is the number of ways to choose two motors from the nine available, and the denominator is the number of ways to assign the nine motors to the three production lines. The denominator is calculated by multiplying the number of ways to assign three motors to the first line, three motors to the second line, and three motors to the third line. This is why the denominator is 3C2*3C2*3C2, which simplifies to 126.
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you're given a six sided die. you're told that rolling an even number is as likely as rolling an odd number. you're told that rolling a 1, 2, or 3 is as likely as rolling a 4, 5, or 6. you're told that rolling a 1 is as likely as rolling a 6. is the probability of rolling a 3 equal to the probability of rolling a 4?
P(A) is the likelihood that a six-sided die will produce an even number when rolled (2, 4, or 6).
P(B) is the likelihood that a six-sided dice will land on four.
P(A) = 3/6 = 1/2
P(B) = 1/6
The probability of rolling an even number followed by a four, or P(C), equals P(A) * P(B) = 1/2*1/6 = 1/12 = 0.083 since events A and B are independent of one another.
With a six-sided die, there is a roughly 0.83*100 or 8.3% probability of rolling an even number (2, 4, or 6), followed by a four.
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Determine what would happen to the volume of a square based right pyramid if the original dimensions of the base of 10 feet by 10 feet reduced to one fifth. The height of the pyramid is 12 feet.
The volume of the new square-based right pyramid will be reduced by 96%.
What is volume?Each thing in three dimensions takes up some space. The volume of this area is what is being measured. The space occupied within an object's borders in three dimensions is referred to as its volume. It is sometimes referred to as the object's capacity.
Given a square-based right pyramid,
and base dimensions are 10 feet by 10 feet
base length = 10 feet
height = 12 feet
the volume of a square-based right pyramid is given by,
V = 1/3b²h
V = 1/3(10)²(12)
V = 400 cubic feet
and if the dimensions of the base are reduced to one-fifth,
The new dimensions for the base is 10/5 feet by 105 feet
base length = 2 feet
and no change in height, h = 12 feet
v = 1/3b²h
v = 1/3(2)²(12)
v = 16 cubic feet
change in volume = V - v
change in volume = 400 - 16
change in volume = 384 cubic feet
percent change in volume = 100*384/400
percent change in volume = 96%
Hence the volume is reduced by 96%.
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math math math mathh!
will give brainliest
Answer:
3/7
Step-by-step explanation:
Answer: 3/7
Step-by-step explanation:
An artist is building a pedestal out of wood that will be used to display a piece of sculpture. She plans to cover the pedestal with tile.
How much tile will it take to cover the pedestal?
PLEASE HELP
The amount of tile that would be used to cover the pedestal is equal to the area of the pedestal
What is area of an object?The area of an object is the amount of two-dimensional space it occupies.
It is a measure of the size of a surface and is typically expressed in square units, such as square meters or square inches.
The area can be determined for various shapes including squares, rectangles, circles, triangles, and more complex shapes.
for a rectangle it is calculated by the formula
length * width
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