The figure below is dilated by a factor of 3/2
​
centered at the origin. Plot the resulting image.
Click twice to plot a segment.
Click a segment to delete it.

In selecting 10 students out of the class of 40 students, if 40 names are placed in a hat and 10 names are drawn out of the hat, the type of sample is:

a random sampling.

Random sampling is a type of sampling method where each member of the population has an equal chance of being selected.

In this case, the population is the class of 40 students and the sample size is 10. By randomly selecting 10 names out of a hat, each student has an equal chance of being chosen for the sample.

This ensures that the sample is representative of the entire population, without any bias.

Random sampling is a widely used method for selecting a representative sample from a larger population.

It is important to use random sampling when conducting research or surveys in order to ensure that the results are reliable and accurate.

Random sampling helps to eliminate any potential bias that might be present in the sample if it was chosen through some other method. This is why it is important to use random sampling when selecting a sample from a larger population.

Complete Question:

"To select 10 students out of the class of 40 students, 40 names are placed in a hat and 10 names are drawn out of the hat. what type of sample is this?"

Learn more about random sampling:

brainly.com/question/29852583

#SPJ4

Therefore, a maximum area the farmer can enclose with the 144 feet of fencing will be1250 square feet.

Let the length of the field =  feet

 And the width of the field =  feet

Therefore, area of the rectangular field = Length × Width

                                                             A =  x*y  square feet

Since, length of the fence = 100 feet

And the farmer has to enclose three sides of the rectangle as shown in the figure attached.

Therefore, length of the fence = length + 2(width)

                                               = (x+2y) feet

Hence,  (x+2y)=100

x=100-2y

By substituting the value of 'x' in the expression for the area of the rectangular field.

A=(100-2y)y

A=-2y^2+144y

Find the derivative of the expression with respect to y ,

A'= -4y+100

A'=0

4y=100

y=25

A=-2*625+2500

A=2500-1250

A=1250 square feet

Therefore, maximum area the farmer can enclose with the 144 feet of fencing will be1250 square feet.

Learn more about area,

at brainly.com/question/16880549

#SPJ4

The measure for x is 1.414 units.

The area of mathematics that deals with particular angles' functions and how to use those functions in calculations. There are six popular trigonometric functions for an angle. Sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), and cosecant are their respective names and acronyms (csc).

Given:

Hypotenuse= 2

angle= 45

Using Trigonometry

cos 45 = B/ H

1/√2 = B/ 2

B = 2/√2

B = √2

Hence, the measure of x is 1.414 unit.

Learn more about Trigonometry here:

https://brainly.com/question/11850679

#SPJ1

Answer:

the solution to the system is x = 1 and y = 5/2.

Step-by-step explanation:

To find the values of x and y, we can simplify each equation in the system and then substitute the value of x into the other equation to find y.

Starting with the first equation:

y - 1 = 3x / 2

2 * (y - 1) = 3x

3x = 2y - 2

Next, we substitute the value of 3x/2 from the first equation into the second equation:

5x + 1 = 4x

x = 1

Finally, we can substitute the value of x = 1 into the first equation to find y:

y - 1 = 3 * 1 / 2

y - 1 = 3 / 2

y = 5 / 2

So the solution to the system is x = 1 and y = 5/2.

The following binary number has the value of 157 in decimal form.

Step 1: Compose the binary number in writing. 10011101

Multiplying each binary digit by the corresponding power of two in step two:

1x27 + 0x26 + 0x25 + 1x24 + 1x23 + 1x22 + 0x21 + 1x20

Solve the powers in Step 3:

1x128+0x64+0x32+1x16+8+4+0x2+1x1=128+0 + 0 + 0 + 16+8+4+0 + 0 + 1

Step 4: Add the figures listed above:

128 + 0 + 0 + 16 + 8 + 4 + 0 + 1 = 157.

A binary number is a number that is expressed in the binary system or base 2 numeral system, according to digital technology and mathematics. It talks about numerical values.by the two distinct digits 1 (one) and 0 (zero). The base-2 system is the positional notation that uses 2 as the radix.

A number that has been divided into a whole and a fraction is called a decimal. To express the numerical value of entirely and partially entire quantities between integers, decimal numbers are used.

To know more about binary number visit:

https://brainly.com/question/8649831

#SPJ4

The length of the candle was 13.5 inches before it was lit.

Let the length of candle in the beginning be c.

Constant rate of change in length of candle=  1.2 inches per hour

Since rate of change is constant so the length of candle can be represented by a linear function [Linear function has constant rate of change.]

Linear function : f(x)= mx+c , where x= independent variable.

m= constant rate of change and c= initial value of function.

Let x = Number of hours after the candle was lit.

Put m=  1.2 , x= 3 and f(x)= 10.5 , we get

c= 13.5

Hence, the length of the candle was 13.5 inches before it was lit.

learn more about of candle here

https://brainly.com/question/14735040

#SPJ4

The tank contains 240 liters of fluid in which 50 grams of salt is dissolved. pure water is then pumped into the tank at a rate of 6 l/min; the well-mixed solution is pumped out at the same rate, After 20 minutes, the amount of salt in the tank is still 50 grams.

In order To calculate the amount of salt in the tank after 20 minutes, we basically use the formula:  Salt (in grams) = (Amount of salt in the tank x Time) / Total volume.So, after 20 minutes, the amount of salt in the tank is:  (50 grams x 20 minutes) / 240 liters = 8.33 grams.    

As we can see, both methods produce the same result, confirming that the amount of salt in the tank after 20 minutes is still 50 grams. since the rate of pumping in salt water is equal to the rate of pumping out salt water, so the total amount of salt remains the same.

To know more about pump refer to the link brainly.com/question/21864603

#SPJ4

A tank contains 240 liters of fluid in which 50 grams of salt is dissolved. pure water is then pumped into the tank at a rate of 6 l/min; the well-mixed solution is pumped out at the same rate. find the number of grams of salt in the tank after 20 minutes

He answers the same number of questions correctly as he answers incorrectly in each round.

Equation is a physical and mathematical statement that describing physical phenomena and the relationship between different physical quantity typically consist of variable simple presenting physical quantity and then it personal variable may be pointed such as your energy.

For the pair of equations to be a system of equations, the number of questions answered correctly must equal the number of questions answered incorrectly in each round. Therefore, the equation 5x - 3y = 22 must have the same number of x and y variables, and the equation 10x - 4y = 46 must also have the same number of x and y variables. This is the only condition that must be true for the pair of equations to be a system of equations.

To know more about equation click-
https://brainly.com/question/26408808
#SPJ1

Explanation:

The common ratio is calculated by dividing each term by its previous one.

The nth term formula for this particular geometric sequence is:

[tex]a_n = a*r^{n-1}\\\\a_n = 7*4^{n-1}\\\\[/tex]

The last step is to plug n = 8 into that formula.

[tex]a_n = a*r^{n-1}\\\\a_n = 7*4^{n-1}\\\\a_8 = 7*4^{8-1}\\\\a_8 = 7*4^{7}\\\\a_8 = 7*16384\\\\a_8 = 114688\\\\[/tex]

The 8th term is 114688

Avoid using commas to separate out the digits. This is because commas are used to separate each term of the geometric sequence.

8th term of this geometric sequence is 114,688.

In a geometric sequence, each term is found by multiplying the previous term by a common ratio. To find the 8th term, we need to know the common ratio and the first term. Given that the first term is 7 and the second term is 28, we can find the common ratio as follows:

r = 28/7 = 4

Now that we know the common ratio, we can find the 8th term by multiplying the first term by the common ratio raised to the power of 7:

a_8 = 7 * r^(8-1) = 7 * 4^7 = 7 * 16,384 = 114,688

Therefore, the 8th term of the sequence is 114,688.

Learn more about geometric sequence:

https://brainly.com/question/17282782

The probability is 0, 1/9, and 1/36 for getting a sum of 1, the sum of 5, and the sum of 12 occurs.

Probability is something that is to happen or a chance that an event will occur.

For two rolled dice, the total outcome is 6² = 36

Probability = Expected outcome/Total outcome

a) Pr of getting a sum of 1 = 0/36 = 0

we have a pair of dice, the least sum we can have is 2

b) The event that occurs a sum of 5 are (1, 4), (4, 1), (3, 2), (2, 3)

n(E) = 4

Pr of getting a sum of 5 = 4/36 = 1/9

c)The probability of getting a sum of 12 is (6, 6)

n(E) = 1

Pr of getting a sum of 12 = 1/36

Therefore, the probability that occurs a sum of 1, the sum of 5, and the sum of 12 are 0, 1/9, and 1/36 respectively.

To know more about Probability:

https://brainly.com/question/14319696

#SPJ4

The area of the shaded region of the semicircle is 108π mm²

Area is defined as the total space taken up by a flat (2-D) surface or shape of an object.

Given that, a semicircle with a diameter of 24 mm, a circle is fitted in it, we need to find the measurement of the area which is shaded.

The diameter of the smaller circle = radius of semicircle.

Therefore,

Radius of smaller circle = 24/4 = 6 mm

To find the area of shaded region, we will subtract the area of the smaller circle from the area of semicircle.

Area of a circle = π × radius² {area of semicircle is just half of it}

Area of shaded region = π × 12² - π × 6²

= π(144-36)

= 108π

Hence, the area of the shaded region of the semicircle is 108π mm²

Learn more about areas, click;

https://brainly.com/question/27683633

#SPJ1

Answer:

No, it is not an infinite solution.

Step-by-step explanation:

4x-4=4              

Add 4 to each side

4x=8

Divide 4 on each side

x=2

Answer:

No

Step-by-step explanation:

An infinite solution has both sides equal. For example, 6x + 2y - 8 = 12x +4y - 16. If you simplify the equation using an infinite solutions formula or method, you'll get both sides equal, hence, it is an infinite solution.

The initial value of the first investment was M = Rs.12,000,000 and the initial value of the second investment was N = Rs.16,000,000.

Let's assume the initial investment in the first investment be M and the initial investment in the second investment be N.

We know that the annual return from the first investment is 3% of M and the annual return from the second investment is 5% of N.

So, the total annual return (T) is:

T = 0.03M + 0.05N = 1160000

The investor increases his investment in the first investment by 25%, so the new investment in the first investment becomes:

M1 = M + 0.25M = 1.25M

And the new annual return from the first investment becomes:

R1 = 0.03 * 1.25M = 0.0375M

Similarly, the new investment in the second investment becomes:

N1 = N + 0.40N = 1.40N

And the new annual return from the second investment becomes:

R2 = 0.05 * 1.40N = 0.07N

So, the new total annual return (T1) is:

T1 = R1 + R2 = 0.0375M + 0.07N

And the increase in the total annual return is:

410,000 = T1 - T

We have 2 equations with 2 variables (M and N), so we can solve for them.

0.0375M + 0.07N = 0.03M + 0.05N + 410000

Expanding and solving the equation we get:

M = 12,000,000

N = 16,000,000

So, the initial value of the first investment was M = Rs.12,000,000 and the initial value of the second investment was N = Rs.16,000,000.

learn more about initial investment: https://brainly.com/question/19090357

#SPJ1

answer is c because i did math and got it right

The height of the plant A would be 95cm, while the height of the plant B would be 87 cm

We can use an equation to represent the height of each plant as a function of time t:

Plant A: h_A = 75 + 10t

Plant B: h_B = 55 + 12t

We want to find the time t at which the two plants will be the same height, so we can set the two equations equal to each other:

75 + 10t = 55 + 12t

Solving for t, we get:

10t = 20

t = 2

So, after 2 months, the two plants will be the same height. To find the height at that time, we can substitute t = 2 into either equation:

h_A = 75 + 10t = 75 + 10 * 2 = 95

h_B = 55 + 12t = 55 + 12 * 2 = 87

So, after 2 months, the plants will both be 95 cm tall.

Read more on rate here:https://brainly.com/question/119866

#SPJ1

The converse of "If it rains, then they cancel school" is "If they cancel school, then it rains."

Converse is a statement obtained by reversing the implication (conditional statement). Simply put, conversion is the opposite of implication. For example, an implication has the formula p→q, then the conversion is the opposite, namely q→p. To understand it better, here is an example conversion.

1 Implication: If Sam is thirsty, then Sam drinks. Conversation: If Sam drinks, then Sam is thirsty.

Implication: If the road is wet, then it rained last night. Conversation: If it rained last night, then the streets are wet.

Learn more about converse at

brainly.com/question/1833821

#SPJ1

Answer:

[tex]\dfrac{c}{2}[/tex]

Step-by-step explanation:

We can simplify the given expression by canceling like terms.

Remember that anything divided by itself is 1.

ex:

[tex]\dfrac{2x}{x} = 2 \cdot \dfrac{x}{x} = 2 \cdot 1 = 2[/tex]

Applying this logic to the given expression:

[tex]\dfrac{a}{2b} \cdot \dfrac{bc}{a}[/tex]

↓ simplify multiplication of fractions

[tex]\dfrac{a \cdot bc}{2b \cdot a}[/tex]

↓ rewrite to align like variables

[tex]\dfrac{a \cdot b \cdot c}{a \cdot b \cdot 2}[/tex]

↓ separate out variables that are divided by each other

[tex]\dfrac{a}{a} \cdot \dfrac{b}{b} \cdot \dfrac{c}{2}[/tex]

↓ represent them as 1

[tex]1 \cdot 1 \cdot \dfrac{c}{2}[/tex]

↓ rewrite without unnecessary 1's

[tex]\dfrac{c}{2}[/tex]

If circuit boards are randomly selected for testing, the probability it takes 10 circuit boards to be inspected before a defective board is found is 0.9833. So, the correct option is b .

This is a geometric distribution problem, where we are trying to find the probability of the number of trials (inspections) until the first success (defective board). The probability of success (finding a defective board) on each trial is 0.02 and the probability of failure (not finding a defective board) on each trial is 0.98.

The formula for the probability of exactly k trials until the first success is given by:

P(X = k) = (1 - p)^(k-1) * p

where p is the probability of success and k is the number of trials.

Plugging in p = 0.02 and k = 10, we get:

P(X = 10) = (1 - 0.02)^(10-1) * 0.02 = 0.9833

So the probability it takes 10 circuit boards to be inspected before a defective board is found is 0.9833.

To learn more about probability click on,

https://brainly.com/question/12523885

#SPJ4

The flower associated to the given probability is the sunflowers.

We want to find the probability of randomly choosing a flower is:

Now, remember that the probability of randomly selecting a type of flower is equal to the quotient between the number of that type of flower and the total number of flowers.

Here we know that the probability is:

P = 0.5

We can rewrite that as:

P = 1/2

If we rewrite the denominator as 16, we will get:

P = 8/16

And we know that there are 8 sunflowers, then sunflower is the correct option.

Learn more about probabilities:

https://brainly.com/question/25870256

#SPJ1

The complete question is:

There are 16 flowers in a vase. Four flowers are daisies, 1 is rose, 3 are tulips and the rest are sunflowers. Suppose the probability of randomly choosing a flower is 0.5

Which of the following flowers could it be?

The percentage of students age 15 and above travel to school by bus is given as follows:

25.64%.

The percentage is obtained applying the proportions in the context of this problem.

A proportion is applied because a percentage is calculated with the division of the number of desired outcomes by the number of total outcomes, a result which is then multiplied by 100%.

The total outcomes are given as follows:

195 students 15 and above that travel by bus.

The desired outcomes are given as follows:

195 - 65 - (98 - 18) = 50 students 15 and above that travel by bus.

Hence the percentage is given as follows:

50/195 x 100% = 25.64%.

More can be learned about proportions at https://brainly.com/question/24372153

#SPJ1

The speed of the car travelled after converting 85 meter per hour into feet per second is equal to ( 0.08 feet per seconds )(round to 2 decimal places)

Speed of the car in meter per hour is equal to 85 mph.

Conversion of unit  meter per hour in feet per second is :

1 meter = 3.28084 feet

1 hour = 60 minutes

          = 3600 seconds

85 mph = ( 85 × 3.28084 feet ) / ( 3600 seconds )

⇒ 85 mph = ( 278. 8714 feet ) / ( 3600 seconds )

⇒ 85 mph = ( 0.07746 feet per seconds )

⇒ 85 mph = ( 0.08 feet per seconds )( round to 2 decimal places )

Therefore, the car travelled in feet per seconds is equal to ( 0.08 feet per seconds ).

Learn more about travelled here

brainly.com/question/29055485

#SPJ4

4 square 6 in surd form​ is  4√6

A number system is defined as a system of writing to express numbers.

4 square 6 in surd form​

Any number of the form n √a, which cannot be written as a fraction of two integers is called a surd.

4 square 6 in surd form​ is 4√6

Decimal Form is 9.8

Hence, 4 square 6 in surd form​ is  4√6

To learn more on Number system click:

https://brainly.com/question/22046046

#SPJ1

The solution to the given Inequality |2x − 3| ≥ 7 is; x ≤ −2 or x ≥ 5

An absolute value inequality is defined as an expression with absolute functions as well as inequality signs. For example, the expression |x + 4| > 2 is an absolute value inequality containing a greater than symbol.

The absolute value inequality we want to solve is;

|2x − 3| ≥ 7

What this means is;

2x - 3 ≥ -7   or 2x - 3 ≥ 7

Thus;

2x - 3 ≥ -7

Add 3 to both sides to get;

2x ≥ -4

Divide both sides by 2 to get;

x ≤ -2

For 2x - 3 ≥ 7

Add 3 to both sides to get;

2x ≥ 10

Divide both sides by 2 to get;

x ≥ 5

Read more about Absolute Value Inequality at; https://brainly.com/question/13282457

#SPJ1

Answer:

Option D: x ≤ −2 or x ≥ 5

Step-by-step explanation:

i took the test xx

The sum of the positive integers not exceeding 5 is 1 + 2 + 3 + 4 = 10

The proof of this statement is constructive, as it will provide a way to explicitly construct a positive integer which is equal to the sum of the positive integers not exceeding it.

To prove this, we will use the following formula:

Let n = the positive integer

Let S = the sum of the positive integers not exceeding n

n = 1 + 2 + ... +n-1 + n

S = 1 + 2 + ... +n-1

Therefore, n = S + n

For example, let n = 5. The sum of the positive integers not exceeding 5 is 1 + 2 + 3 + 4 = 10. Therefore, 5 = 10 + 5, which is true. This proves that for any positive integer, n, it is equal to the sum of the positive integers not exceeding it.

Learn more about positive integers here:

https://brainly.com/question/28165413

#SPJ4

The rate of the machine increased by 0.26% every year.

We know simple interest (SI) is given by SI = (p×r×t)/100, where

p = principle, r = rate in percentage, and t = time in years.

Given, On 2078/08/20 A machine was valued at Rs. 20000 whereas its original value was Rs. 17,500​.

Now, From 2023 to 2078 it is (78 - 23) = 55 years.

Therefore,

(20000 - 17500) = (17500×r×55)/100.

2500 = 175×r×55.

2500 = 9625r.

r = 2500/9625.

r = 0.26%.

learn more about simple interests here :

https://brainly.com/question/11564235

#SPJ1

Answer:

x = 50

Step-by-step explanation:

50 + 2x = 150

2x = 100

x = 50

we can look at this as some exponential growth, now, the page hit 10,000 views in the first day, that is, at the end of the 1st day and the beginning of the 2nd day, so the compounding of 30% will occur only for the next 4 days, that is, the 2nd, 3rd, 4th and 5th days, so we can say starting initially with 10000, how much will it be 4 days later?

[tex]\qquad \textit{Amount for Exponential Growth} \\\\ A=P(1 + r)^t\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{initial amount}\dotfill &10000\\ r=rate\to 30\%\to \frac{30}{100}\dotfill &0.3\\ t=\textit{elapsed time}\dotfill &4\\ \end{cases} \\\\\\ A = 10000(1 + 0.3)^{4} \implies A=10000(1.3)^4\implies \boxed{A = 28561}[/tex]

In rectangle , The width is 8 and the length is 37.

What is a rectangle ?

A rectangle is a sort of quadrilateral with parallel sides that are equal to one another and four vertices that are all 90 degrees apart. Because of this, it is also known as an equiangular quadrilateral.

                              The term "parallelogram" can also be used to describe a rectangle because the opposing sides are equal and parallel.

90 = 2(x + 5 + 4x)

90 = 2(5x + 5)

90 = 10x + 10

80 = 10x

x = 8

So the width is 8 and the length is 37.

Learn more about rectangle

brainly.com/question/29123947

#SPJ4

The complete question is -

The length of a rectangle is five inches more than four times it’s width. If the perimeter is 90 inches, find its dimensions

11/6 is the solution of the equation 4x−1/3 = 7/1.

Two or more expressions with an Equal sign is called as Equation.

The given equation is 4x−1/3 = 7/1

We have to isolate the variable term x by adding 1/3 on both sides

4x=7+1/3

4x=22/3

Divide both sides by 4

x=22/12

22 and 12 are the multiples of 2.

x=11/6

Hence, 11/6 is the solution of the equation 4x−1/3 = 7/1.

To learn more on Equation:

https://brainly.com/question/10413253

#SPJ1