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anzhelika [568]
3 years ago
6

How do I figure out the volume of this image

Mathematics
1 answer:
-BARSIC- [3]3 years ago
8 0
The volume of a rectangular prism can be found from the formula V=B•h
The base is the triangle
The area of the triangle can found using A=b•1/2h
13•1/2(8)=52
V=52 x h
52•9=468

468in^2
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Step-by-step explanation:

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A jet travels 600 miles in 5 hours. At this rate, how far could the jet fly in 15 hours? *
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3 years ago
The state education commission wants to estimate the fraction of tenth grade students that have reading skills at or below the e
irakobra [83]

Answer:

We need a sample size of at least 383.

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}.

The margin of error is:

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

85% confidence level

So \alpha = 0.15, z is the value of Z that has a pvalue of 1 - \frac{0.15}{2} = 0.925, so Z = 1.44.

How large a sample would be required in order to estimate the fraction of tenth graders reading at or below the eighth grade level at the 85% confidence level with an error of at most 0.03

We need a sample size of at least n.

n is found with M = 0.03, \pi = 0.21

Then

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

0.03 = 1.44\sqrt{\frac{0.21*0.79}{n}}

0.03\sqrt{n} = 1.44\sqrt{0.21*0.79}

\sqrt{n} = \frac{1.44\sqrt{0.21*0.79}}{0.03}

(\sqrt{n})^{2} = (\frac{1.44\sqrt{0.21*0.79}}{0.03})^{2}

n = 382.23

Rounding up

We need a sample size of at least 383.

6 0
3 years ago
5x - 5 - 3x + 2 = 0 what is the value of x
SCORPION-xisa [38]

Answer:

x = 1.5

Step-by-step explanation:

5x - 5 - 3x + 2 = 0

Combine like terms

2x - 3 = 0

Isolate variable x

Add 3 to both sides

2x = 3

Divide both sides by 2

x = 3 ÷ 2

x = 1.5

5 0
4 years ago
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