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Angelina_Jolie [31]
3 years ago
8

Find the total surface area of the triangular pyramid

Mathematics
1 answer:
Vlada [557]3 years ago
5 0
The answer is C- 99.5ft :)
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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}}

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

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

(\sqrt{n})^{2} = (\frac{1.96\sqrt{0.21*0.79}}{0.09})^{2}

n = 78.68

Rounding up to the nearest whole number.

A sample size of 79 is needed.

4 0
3 years ago
What is the scientfic notation of 0.05
vredina [299]

Answer:

5×10⁻²

Step-by-step explanation:

  • Move the decimal so there is one non-zero digit to the left of the decimal point.
  • The number of decimal places you move will be the exponent on the 10. a.  If the decimal is being moved to the right, the exponent will be negative.

        b.  If the decimal is being moved to the left, the exponent will be positive.

  • Therefore. The answer is 5×10⁻²
8 0
3 years ago
lara has 90 mild peppers and 36 hot peppers. she is putting them into baskets so that each basket has the same number of mild pe
Mariulka [41]

Answer:

Up to 36

Step-by-step explanation:

If she puts one pepper hot pepper in every basket she can make a total of 36 baskets

8 0
3 years ago
Fine the sum of the series
lapo4ka [179]

Answer:

6825

Step-by-step explanation:

From the equation, the series is a geometric series, such that

a = 5

r = 4

n = 6

sum of a geometric series is a(r^n - 1)/(r - 1)

therefore,

sum of the series is 5 x (4^6 - 1) / (4 - 1)

= 5 x (4096 - 1) / 3

= 5 x 4095 / 3

= 6825

6 0
3 years ago
What should be the first step in solving 13 y − 14 = 42?
AveGali [126]

Answer:

The first step should be adding 14 to both sides of the equation.

Step-by-step explanation:

14 must be added on both sides of the equation to get 13y by itself. The ultimate goal is to get y by itself if we are solving for y.

Once 14 is added on both sides, you'll get:

13y = 56.

Then 13 would be divided from both sides.

y = 4.3

8 0
3 years ago
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