Given the formula A = pi r squared, how does the A vary in relation to the square of the radius?
a.
varies inversely
c.
varies jointly
b.
varies directly
d.
no relationship

Answer:

290 ft is the perimeter

Step-by-step explanation:

170+120=290 ft

580 feet.

To find perimeter, you have to add up all the sides, so add length, length, width, and width.

170+ 170+120+120

This gives you 580 ft.

Don't forget the unit!

If this helped, please mark branliest

Answer: false

Step-by-step explanation:

Answer:

(x-18)^2+(y+6)^=36

Step-by-step explanation:

circle basic equation is (x-h)^2+(y-k)^2=r^2

center is (18,-6) it is also externally tangent

so

(x-18)^2+(y+6)^2=36 answer

The equation of a circle that is externally tangent to the given circle and has a center at (18, −6) is [tex](x-18)^2+(y+6)^=36[/tex]

A circle can be characterized by its center's location and its radius's length. Let the center of the considered circle be at (h,k) coordinate.

Let the radius of the circle be 'r' units.

Then, the equation of that circle would be:

[tex](x-h)^2 + (y-k)^2 = r^2[/tex]

Given that the circle basic equation is [tex](x-2)^2+(y+6)^2=100[/tex]

The center is (18,-6) it is also externally tangent;

Therefore,

[tex](x-18)^2+(y+6)^2=36[/tex]

Therefore, the equation of a circle that is externally tangent to the circle is; [tex](x-18)^2+(y+6)^2=36[/tex]

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Answer:

i think its C

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

its just division tbh

Answer:

The answer is B, I know this because I just took a test with this question lol

If 12 correct answers constitute a passing grade on a 20-item true-false exam, the probability that someone will pass is 1/2 if they are guessing.

Therefore,

Let X denote the number of correctly answered questions out of a total of 20.

Bernoulli trails are formed by repeated coin tosses. Because the "head" on a coin represents the correct answer and the "tail" represents the incorrect answer, the questions that are correctly answered are Bernoulli trials.

[tex]$&\therefore \mathrm{p}=\frac{1}{2} \\[/tex]

[tex]&\therefore \mathrm{q}=1-\mathrm{p}=1-\frac{1}{2}=\frac{1}{2}[/tex]

X follows a binomial distribution with n = 20 and p = 1/2

[tex]&\therefore P(X=x)={ }^n C_x q^{n-x} p^x \\[/tex]

[tex]&={ }^{20} C_x\left(\frac{1}{2}\right)^{20-x} \cdot\left(\frac{1}{2}\right)^x \\[/tex]

[tex]&={ }^{20} C_x\left(\frac{1}{2}\right)^{20}[/tex]

P ( at least 12 questions answered correctly )= P (X ≥ 12)

[tex]&=\mathrm{P}(\mathrm{X}=12)+\mathrm{P}[/tex][tex](\mathrm{X}=13)+\ldots+\mathrm{P}(\mathrm{X}=20) \\[/tex]

[tex]&={ }^{20} \mathrm{C}_{12}\left(\frac{1}{2}\right)^{20}+{ }^{20}[/tex][tex]\mathrm{C}_{13}\left(\frac{1}{2}\right)^{20}+\ldots+{ }^{20}[/tex][tex]\mathrm{C}_{20}\left(\frac{1}{2}\right)^{20} \\[/tex]

[tex]&=\left(\frac{1}{2}\right)^{20} \cdot\left[{ }^{20} \mathrm{C}_{12}+{ }^{20} \mathrm{C}_{13}+\ldots+{ }^{20} \mathrm{C}_{20}\right][/tex]

Hence, If 12 correct answers constitute a passing grade on a 20-item true-false exam, the probability that someone will pass is 1/2 if they are guessing.

The complete question is:

In an examination, 20 questions of true-false type are asked. Suppose a student tosses a fair coin to determine his answer to each question. If the coin falls heads, he answers 'true', if it falls tails, he answers 'false'. Find the probability that he answers at least 12 questions correctly.

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Answer:

1,3,4

Step-by-step explanation: hope this helps you

Answer:

60% would be the correct answer

Step-by-step explanation:

The girls percentage among students is 60%.

A percentage is a proportion that shows a number as parts per hundred. If we have to calculate percent of a number, divide the number by the whole and multiply by 100.

For the given situation,

Total number of students = 50

Number of boys = 20

Number of girls = [tex]50-20[/tex]

⇒ [tex]30[/tex]

Thus, girls percentage is

⇒ [tex]\frac{30}{50}(100)[/tex]

⇒ [tex]60[/tex]

Hence we can conclude that the girls percentage among students is 60%.

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Answer:

about 216.77 inches of space

Step-by-step explanation:

2πrh+2πr²

2π(3)(8.5)+2π(3)²

2π25.5+2π9

51π+18π

216.769893

about 216.77 inches of space

Answers:

1) 7.1

2) -7.1

3) -3

Plug in the numbers

Answer:

11 times

Step-by-step explanation:

35 divided by 3 = something like 11.6666666666. . .

That means that 3 only goes into 35 11 times since you don't count the 0.666666666. . .

Hope I helped :)

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[tex]\huge\boxed{11\;times.}[/tex]

We have the question...

How many times does 3 go into 35?

Well, this is pretty simple all you have to do is count up by 3s until you get to the number. Remember, it doesn't have to be exact though. So, here we go count by threes 11 times. We get 33 from 3*11. Therefore, your answer will be 11 times.

Answer:

-0.04

Step-by-step explanation:

tan([tex]\frac{5}{7}[/tex] - π) = -0.04

Given:

[tex]\text{tan}(t)=\frac{5}{7}[/tex]

To find:

Value of [tex]\text{tan}(t-\pi )[/tex]

Solution:

To solve the given expression we will use the identity,

[tex]\text{tan}(A-B)=\frac{\text{tan}A-\text{tan}B}{1+\text{tan}A\text{tan}B}[/tex]

Now substitute the values,

[tex]A=t[/tex]

[tex]B=\pi[/tex]

[tex]\text{tan}(t-\pi)=\frac{\text{tan}t-\text{tan}\pi }{1+\text{tan}t\text{tan}\pi }[/tex]

Since, the value of [tex]\text{tan}(\pi )[/tex] is [tex]0[/tex].

[tex]\text{tan}(t-\pi)=\frac{\text{tan}t-0}{1+\text{tan}t\times (0)}[/tex]

                [tex]=\frac{\text{tan}t}{1}[/tex]

                [tex]=\text{tan}t[/tex]

Therefore, [tex]\text{tan}(t-\pi)=\frac{5}{7}[/tex] will be the answer.

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Answer:

She needs 12 cups of flour to make bread

Step-by-step explanation:

9 divided by 3 is 3. So you add 3 to 9 and you get 12. So yeah!

Answer:

More formally, statistical power is the probability of finding a statistically significant result, given that there really is a difference (or effect) in the population. ... So, larger sample sizes give more reliable results with greater precision and power, but they also cost more time and money.

Answer: He can make 5 shirts

Step-by-step explanation:

15  1/2 ÷ 2  5/6 = 5 8/17

Answer:

81 Cups of Pretzels and 40.5 Cups of M&M's

Step-by-step explanation:

p= Pretzels

m= M&M;s

3p+1.5m= 1

3(27)+ 1.5(27)

81 + 40.5

Answer:

128

Step-by-step explanation:

The sum of angles in the triangle is 180 degrees

12 + 40 + x = 180

52 + x = 180

x= 180 - 52 = 128 degrees

(x is the third angle of the triangle)

Credit: study1104 for the answer: they originally answered this question, though i copy and pasted to help you with your assignment! Hope this helps, wanted to include credit so your aware where the answer came from!!

Answer:

What type of math is this

Step-by-step explanation:

Answer:

1.92

Step-by-step explanation:

Answer:

$1.92

Step-by-step explanation:

8% of 24

= 1.92

Answer:

70%

Step-by-step explanation:

Answer:

9/11

Step-by-step explanation:

(6 × 3)/22

18/22 = 9/11

Answer:

you clean!?

Step-by-step explanation:

I just lick it

Answer:

use toilet paper

Step-by-step explanation:

first you clean yourself then you clean again until very clean lol

Answer:

209.106 = (2 x 100) + (0 x 10) + (9 x 1) + (1/10) + (0/100) + (6/1000)

Answer:

200+9+0.1+0.006.

Step-by-step explanation:

Answer:

34 degrees Celsius

Step-by-step explanation:

For this question, you just find the sum of the two temperatures:

-4+38 = 34

Answer:

the answer to this question would be A

Answer: The sum of the area of it's faces

Step-by-step explanation: its the surafce area.

Answer:

1.x=3

2. x= -7    

3. x=7

Step-by-step explanation:

Complete Question

The complete question is shown on the first , second and third uploaded image

Answer:

A

 The correct option is A

B

  The correct option is H

Step-by-step explanation:

The null hypothesis is  [tex]H_o  :  \mu_1 - \mu_2 =  6[/tex]

The alternative  hypothesis is  [tex]H_a  :  \mu_1 - \mu_2 \ne  6[/tex]      

The population mean difference is  [tex]\mu_d  =  6[/tex]

Generally the sample size is  n =  15      

Generally the sample mean for input temperature is mathematically represented as

      [tex]\= x _1  = \frac{\sum x_i }{n}[/tex]

=>    [tex]\= x _1  = \frac{57.6 + 68.9 + \cdots +60.4  }{15}[/tex]  

=>    [tex]\= x _1  = 62.57 [/tex]  

Generally the sample mean for output temperature is mathematically represented as

      [tex]\= x _2  = \frac{\sum x_i }{n}[/tex]

=>    [tex]\= x _2  = \frac{65.1+ 74.4 + \cdots +67.3 }{15}[/tex]  

=>    [tex]\= x _2  = 55.97 [/tex]  

Generally the sample mean difference is mathematically represented as

   [tex]\= d = 62.57 - 55.97[/tex]

=>[tex]d = 6.6[/tex]

Generally the standard deviation is mathematically represented as

       [tex]s_d  =  \sqrt{\frac{ \sum [d_1 - \= d]^2}{n-1} }[/tex]

=>    [tex]s_d  =  \sqrt{\frac{ [ [57.6 -65.1]- 6.6]^2 +[68.9 -74.4]- 6.6]^2+\cdots +   [60.4 -67.3]- 6.6]^2}{15-1} }[/tex]

=>     [tex]s_d  = 1.732 [/tex]

Generally the test statistics is mathematically represented as

      [tex]t =  \frac{6.6  - 6 }{\frac{1.732}{\sqrt{15} } }[/tex]

=>   [tex]t = 1.342 [/tex]

Generally the degree of freedom is mathematically represented as

    [tex]df  = n -  1[/tex]

So

      [tex]df  =  15  -  2[/tex]

=>    [tex]df  =  14[/tex]

Generally the p-value  is mathematically represented as

     [tex]p-value  = 2 *  P(t >  1.342 )[/tex]

Generally from the t -distribution table the probability of 1.342 at a degree of freedom of  [tex]df  =  28[/tex] is  

       [tex]P(t >  1.342 ) = 0.10047[/tex]

So

     [tex]p-value  = 2 * 0.10047[/tex]

=>   [tex]p-value  = 0.201[/tex]

Generally from the value  obtained we see that [tex]p-value  > \alpha[/tex] Hence

The  decision rule is  

Fail to  reject the null hypothesis

The conclusion is

The cooling system changes the temperature of the water by 6 degrees

Answer:

$34032

Step-by-step explanation:

Acme bid​ $232,500 for the project and was awarded a contract for that amount.

The cost of​ construction, including​ labor, building​ materials, and other expenses such as equipment rental was​ $198,468.

We know that,

Profit = The amount of money that remains after all expenses of a project have been paid

Profit = $232,500-$198,468

= $34032

Hence, the profit is $34032.