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2 years ago

What is the volume of the prism below?

Mathematics

1 answer:

Fudgin [204]2 years ago

5 0

Answer: A) 150 cubic units

V = area of the base times the height of the prism.

(5)(6) = 30

30/2 =15

V = (15)(10)

V = 150 cubic units

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Find the value of x.

gayaneshka [121]

Answer:

$146 + ( - 39 + x) = 180 \\ 146 - 39 + x = 180 \\ 107 + x = 180 \\ x = 180 - 107 \\ x = 73$

7 0

2 years ago

Suppose that an internal report submitted to the managers at a bank in Boston showed that with 95 percent confidence, the propor

Dmitry [639]

Answer:

The sample size used to compute the 95% confidence interval is 1066.

Step-by-step explanation:

The (1 - α)% confidence interval for population proportion is:

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

The 95% confidence interval for proportion of the bank's customers who also have accounts at one or more other banks is (0.45, 0.51).

To compute the sample size used we first need to compute the sample proportion value.

The value of sample proportion is:

$\hat p=\frac{Upper\ limit+Lower\ limit}{2}=\frac{0.45+0.51}{2}=0.48$

Now compute the value of margin of error as follows:

$MOE=\frac{Upper\ limit-Lower\ limit}{2}=\frac{0.51-0.45}{2}=0.03$

The critical value of z for 95% confidence level is:

$z_{\alpha/2}=z_{0.05/2}=z_{0.025}=1.96$

Compute the value of sample size as follows:

$MOE=z_{\alpha/2}\sqrt{\frac{\hat p(1-\hat p)}{n}}\\0.03=1.96\times \sqrt{\frac{0.48(1-0.48)}{n}}\\(\frac{0.03}{1.96})^{2}=\frac{0.48(1-0.48)}{n}\\n=1065.404\\n\approx1066$

Thus, the sample size used to compute the 95% confidence interval is 1066.

4 0

2 years ago

Which of the following points lies in Quadrant II?

RUDIKE [14]

The answer is d. (-3,8.)

6 0

2 years ago

Read 2 more answers

What is the answer for an=an–1+1

Gekata [30.6K]

Answer:

Step-by-step expla2nation:

7 0

2 years ago

Anyone know how to do this

Anton [14]

let

(hypotenuse ) c = 10 in

(perpendicular) a = 8 in

(base) b =?

By using Pythagoras theorem

c^2= a^2+b^2

(10)^2 = (8)^2 +(b)^2

100 = 64 +(b)^2

100- 64 = (b)^2

36 = (b)^2

√36 = b

6 = b

hence b= 6 in

3 0

2 years ago