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3 years ago

What is the volume of the pyramid to the nearest whole unit?

Mathematics

2 answers:

dalvyx [7]3 years ago

6 0

Here is the work shown:

katovenus [111]3 years ago

3 0

Answer:

Step-by-step explanation:

V= lwh/3

V= ((6)(11)(6))/3

V= 132 yd^3

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Solve the equation.<br> 9x=25

lidiya [134]

Answer:

$x = \frac{25}{9}$

Step-by-step explanation:

Divide both sides by 9 to isolate x:

$\frac{9x}{9} = \frac{25}{9} \\x = \frac{25}{9}\\$

Hope this helps!

8 0

3 years ago

In the past, 21% of all homes with a stay-at-home parent, the father is the stay-at-home parent. An independent research firm ha

Afina-wow [57]

Answer:

A sample size of 79 is needed.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence level of $1-\alpha$ , we have the following confidence interval of proportions.

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which

z is the zscore that has a pvalue of $1 - \frac{\alpha}{2}$ .

For this problem, we have that:

$\pi = 0.21$

The margin of error is:

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

95% confidence level

So $\alpha = 0.05$ , z is the value of Z that has a pvalue of $1 - \frac{0.05}{2} = 0.975$ , so $Z = 1.96$ .

What sample size is needed if the research firm's goal is to estimate the current proportion of homes with a stay-at-home parent in which the father is the stay-at-home parent with a margin of error of 0.09?

A sample size of n is needed.

n is found when M = 0.09. So

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

$0.09 = 1.96\sqrt{\frac{0.21*0.79}{n}}$