I=E/R + r solve for r

What's the radius of a circle with an area of 64 square feet?

Nady [450]

Area = $\pi r ^{2}$
64 = $\pi r ^{2}$
$\frac{64}{ \pi } =r^2$
$r= \frac{ \sqrt{64} }{ \sqrt{ \pi } } = \frac{8}{ \sqrt{ \pi } }$

If you want the denominator rationalized, the answer is $\frac{8 \sqrt{ \pi } }{ \pi }$

6 0

4 years ago

A paper reported that in a representative sample of 282 American teens age 16 to 17, there were 71 who indicated that they had s

elena-s [515]

Answer:

$z=\frac{0.252 -0.25}{\sqrt{\frac{0.25(1-0.25)}{282}}}=0.0776$

$p_v =P(z>0.0776)=0.4691$

Since the p value is higher than the significance level so then we can conclude that we have enough evidence to FAIL to reject the null hypothesis and there is no evidence in order to say that the true proportion of teens more than a quarter of Americans age 16 to 17 have sent a text message while driving is higher than 0.25

Step-by-step explanation:

Information provided

n=282 represent the sample selected

X=71 represent the teens indicated that they had sent a text message while driving

$\hat p=\frac{71}{282}=0.252$ estimated proportion of teens indicated that they had sent a text message while driving

$p_o=0.25$ is the value that we want to test

$\alpha=0.01$ represent the significance level

z would represent the statistic

$p_v$ represent the p value

System of hypothesis

We want to check if more than a quarter of Americans age 16 to 17 have sent a text message while driving, and the hypothesis are:

Null hypothesis: $p\leq 0.7$

Alternative hypothesis: $p > 0.25$

The statistic is given by:

$z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}}$ (1)

Replacing we got:

$z=\frac{0.252 -0.25}{\sqrt{\frac{0.25(1-0.25)}{282}}}=0.0776$

Decision

The p value for this case is:

$p_v =P(z>0.0776)=0.4691$

Since the p value is higher than the significance level so then we can conclude that we have enough evidence to FAIL to reject the null hypothesis and there is no evidence in order to say that the true proportion of teens more than a quarter of Americans age 16 to 17 have sent a text message while driving is higher than 0.25

8 0

4 years ago

How to solve?<br><br> -21w(w-26)

Lady_Fox [76]

You Multiply Using The Distributive Property
−21w2+546w

4 0

4 years ago

Help i need help please

solong [7]

Answer:

hope it is correct

Step-by-step explanation:

i think it is more than, can , cannot, and required

7 0

3 years ago

-9h - 15 =30<br> plz answer lol

Lemur [1.5K]

[Add] 1.

-9h = 30 + 15

[Simplify] 2.

-9h = 45

[Divide] 3.

h = - 45/9 ( A negative Divide)

[Answer] 4.

h = -5

4 0

3 years ago

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