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mrs_skeptik [129]
3 years ago
7

What is the value of the expression 3x-8y when x=10 and y=2?

Mathematics
2 answers:
Greeley [361]3 years ago
7 0

Answer:

14

Step-by-step explanation:

3x-8y

(3*10)-(8*2)

30-16

14

madam [21]3 years ago
3 0

Answer:

30-16

Step-by-step explanation:

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A rectangular prism has a top face with an area of 20 ft2 and a height of 5 ft. What is the volume of this rectangular prism? Th
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Answer:

the volume of the rectangular prism is 100 ft³  

Step-by-step explanation:

Given;

area of top face of a rectangular prism, A = 20 ft²

height of the rectangular prism, h = 5 ft

Volume of the rectangular prism =  Area of top face x height of the rectangular prism

Volume of the rectangular prism = A x h

Volume of the rectangular prism = 20 ft² x  5 ft

                                                       = 100 ft³

Therefore, the volume of the rectangular prism is 100 ft³                                      

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A political candidate has asked you to conduct a poll to determine what percentage of people support him. If the candidate only
Nadusha1986 [10]

Answer:

The sample size required is, <em>n</em> = 502.

Step-by-step explanation:

The (1 - <em>α</em>)% confidence interval for population proportion is:

CI=\hat p\pm z_{\alpha/2}\sqrt{\frac{\hat p\cdot (1-\hat p)}{n}}

The margin of error is:

MOE=z_{\alpha/2}\sqrt{\frac{\hat p\ \cdot (1-\hat p)}{n}}

Assume that 50% of the people would support this political candidate.

The margin of error is, MOE = 0.05.

The critical value of <em>z</em> for 97.5% confidence level is:

<em>z</em> = 2.24

Compute the sample size as follows:

MOE=z_{\alpha/2}\sqrt{\frac{\hat p\ \cdot (1-\hat p)}{n}}

       n=[\frac{z_{\alpha/2}\times \sqrt{\hat p(1-\hat p)}}{MOE}]^{2}

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Thus, the sample size required is, <em>n</em> = 502.

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