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3 years ago

5

Find the surface area

1 answer:

Lerok [7]3 years ago

7 0

Find the area of the base:
(1/2)(4)(5) = 10
Then find the area of one of the sides:
(1/2)(4)(10) = 20
There are 3 sides and 1 base therefore:
20(3) + 10(1) = 60 + 10 = 70sqft
Hope this helps :)

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sladkih [1.3K]

Answer:

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Step-by-step explanation:

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3 years ago

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bagirrra123 [75]

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Step-by-step explanation:

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emmasim [6.3K]

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For this problem, carry at least four digits after the decimal in your calculations. Answers may vary slightly due to rounding.

Ymorist [56]

Answer: a. A point estimate for p is 0.597 .

b. The 95% confidence interval for p.

Lower limit = 0.48

Upper limit = 0.71

Step-by-step explanation:

Given : Sample size of professional actors : n= 67

Number of extroverts : x= 40

Let p represent the proportion of all actors who are extroverts.

a. The point estimate for p = sample proportion = $\hat{p}=\dfrac{x}{n}$

$=\dfrac{40}{67}=0.597$

b. Confidence interval for population proportion :

$\hat{p}\pm z^*\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}$

Since the critical value for 95% confidence interval is 1.96 , so the 95% confidence interval for p would be

$0.597\pm (1.96)\sqrt{\dfrac{0.597(1-0.597)}{67}}$

$0.597\pm (1.96)\sqrt{0.0036}$

$0.597\pm (1.96)(0.06)$

$0.597\pm 0.1176$

$(0.597-0.1176,\ 0.597+0.1176)\\\\=(0.4794,\ 0.7146)\\\\\approx(0.48,\ 0.71)$

In the 95% confidence interval for p.

Lower limit = 0.48

Upper limit = 0.71

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