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2 years ago

What is the value of x in the right triangle shown? 25 cm 7 cm

Mathematics

2 answers:

Rainbow [258]2 years ago

8 0

Answer: 24

Step-by-step explanation:

A^2 + B^2 = C^2

finlep [7]2 years ago

7 0

Answer:

x = 24

Step-by-step explanation:

a^2 + b^2 = c^2

7^2 + b^2 = 25^2

49 + b^2 = 625

-49 -49

b^2 = 576

square root them

b = 24, or x = 24

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Step-by-step explanation:

Data given and notation

n=1000 represent the random sample taken

$\hat p=0.52$ estimated proportion of of U.S. employers were likely to require higher employee contributions for health care coverage

$\alpha=0.05$ represent the significance level (no given, but is assumed)

Solution to the problem

The confidence interval would be given by this formula

$\hat p \pm z_{\alpha/2} \sqrt{\frac{\hat p(1-\hat p)}{n}}$

For the 95% confidence interval the value of $\alpha=1-0.95=0.05$ and $\alpha/2=0.025$ , with that value we can find the quantile required for the interval in the normal standard distribution.

$z_{\alpha/2}=1.96$

The margin of error for this case is given by:

$ME= z_{\alpha/2} \sqrt{\frac{\hat p(1-\hat p)}{n}}$

And replacing we got:

$ME = 1.64*\sqrt{\frac{0.52(1-0.52)}{1000}}=0.0259$

And replacing into the confidence interval formula we got:

$0.52 - 1.64*\sqrt{\frac{0.52(1-0.52)}{1000}}=0.4941$

$0.52 + 1.64*\sqrt{\frac{0.52(1-0.52)}{1000}}=0.5459$

And the 95% confidence interval would be given (0.4941;0.5459).

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What is the value of x in the right triangle shown? 25 cm 7 cm​

What is the value of x in the right triangle shown? 25 cm 7 cm