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2 years ago

The answer using Pythagorean theorem

Mathematics

1 answer:

OverLord2011 [107]2 years ago

5 0

Answer: 12.32 is the answer.

Step-by-step explanation: Using the pythagorean thereom we can solve this by using the formula A^2+B^2=C^2.

We substitute in the values,

17^2+B^2=21^2.

Now we simplify.

289+B^2=441

We subtract the 289 from both sides,

B^2=152

Now we use square root to find the answer.

12.32 is the answer.

Hope this helps!

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In a survey of 1,000 television viewers, 40% said they watch network news programs. For a 90% confidence level, the margin of er

ElenaW [278]

Answer: The margin of error = $3\%$

Step-by-step explanation:

Given

Sample size (n) = 1000

Population proportion = 0.4

$\alpha$ = 1 - confidence level

= 1 - 0.95

= 0.05

$margin\; of\; error = z_{\frac{\alpha }{2}}\sqrt{\frac{{\widehat{p}}{(1 -\widehat{p})}}{n}}$

$margin\; of\; error = z_{\frac{0.05 }{2}\sqrt{\frac{{(0.4)}{(1 -0.4)}}{1000}}$

$= z_{0.025}\sqrt{\frac{{(0.4)}{(0.6)}}{1000}}$

$= 1.96\sqrt{\frac{{(0.4)}{(0.6)}}{1000}}$

= 0.03

The margin of error change to $2.5\%$ to $3\%$

6 0

3 years ago

Which is the graph of x≤2

OverLord2011 [107]

Answer:

The fourth graph is the graph of $x\leq 2$

Step-by-step explanation:

As this inequality has a $\leq$ , we know two things:

The graph must have a solid line as that signifies that it includes the value.

The shaded area must be less than 2.

The fourth graph is the only one that meets our criteria

8 0

2 years ago

What is the area of cross-section ADGF of this right rectangular prism?

dedylja [7]

Answer:

C.52 square units

Step-by-step explanation:

We are given that

Length of cross-section ADGF,l=13units

Length of cross-section ADGF, b=4 units

We have to find the area of cross-section ADGF of this right rectangular prism.

We know that

Area of rectangle= $l\times b$

Using the formula

Area of cross-section ADGF of this right rectangular prism

= $13\times 4$

Area of cross-section ADGF of this right rectangular prism=52square units

Option C is correct.

C.52 square units

5 0

1 year ago

The sixth grade runs a bake sale for 55 hours and makes $170$170. The seventh grade sets up a dunking booth for 44 hours and mak

USPshnik [31]

The answer is the sixth grade class.

In order to find the answer, you have to divide each grade's total by the number of hours it took them to make that money, which will give you the amount each class makes per hour.

$170 / 55 = $3.09
$112 / 44 = $2.54
$192 / 66 = $2.91

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2 years ago

A dance academy charges $24 per class and a one-time registration fee of $15. a student paid a total of $687 to the academy. fin

Georgia [21]

28 is the correct answer

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2 years ago