Hey there! This is gonna require the Pythagorean Theorem which is<span> a^2 + b^2 = c^2
</span>
a and b in this case are the legs while c is the hypotenuse! So, we can just plug in the numbers we know!

3^2 + 10^2 = c^2

9 + 100 = c^2

109 = c^2

And then take the square root of 109 to get the hypotenuse.

<span>10.4403065089 = c
</span>
Since we need to round to the nearest hundredth, though, it would be 10.44

I hope that helps! Feel free to let me know if you have any questions!

- mathwizzard3

6 0

3 years ago

A researcher wished to compare the effect of two stepping heights (low and high) on heart rate in a step-aerobics workout. A col

Alinara [238K]

Answer:

The answer is "between 0.10 and 0.05".

Step-by-step explanation:

For sample 1:

$n_1 = 25\\\\\bar{x_1} = 90.00\\\\ s_1 = 9\\\\$

For sample 2:

$n_2 = 25\\\\ \bar{x_2} = 95.08\\\\ S_2 = 12\\\\$

Calculating the null and alternative hypotheses:

$H_O : \mu_1 = \mu_2 \\\\ H_Q : \mu_1$

Calculating the test statistic:

$Z= \frac{90-95.08}{ \sqrt{\frac{9^2}{25}+\frac{12^2}{25}}} \\\\ =\frac{-5.08}{ \sqrt{\frac{81}{25}+\frac{144}{25}}}\\\\=\frac{-5.08}{ \sqrt{\frac{81+144}{25}}}\\\\=\frac{-5.08}{ \sqrt{\frac{225}{25}}}\\\\=\frac{-5.08}{ \frac{15}{5}}\\\\=\frac{-5.08}{3}\\\\= -1.693$