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Mashcka [7]
2 years ago
12

What is the volume of the rectangular prism?

Mathematics
1 answer:
-Dominant- [34]2 years ago
4 0
The answer would be 22.5
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Vitamin D, whether ingested as a dietary supplement or produced naturally when sunlight falls on the skin, is essential for stro
tigry1 [53]

Answer:

a) The 98% confidence interval would be given (0.182;0.218).

b) We are 98% confident that the true proportion of of England people who are deficient in Vitamin D is between 0.182 and 0.218.

c) If repeated samples were taken and the 98% confidence interval computed for each sample, 98% of the intervals would contain the population proportion.

d) Yes since the confidence interval not contains the value 0.25, we can refute the claim at 2% of significance.

Step-by-step explanation:

Data given and notation  

n=2700 represent the random sample taken    

X represent the people in England who are deficient in Vitamin D

\hat p=0.2 estimated proportion of England people who are deficient in Vitamin D

\alpha=0.02 represent the significance level

Confidence =0.98 or 98%

z would represent the statistic (variable of interest)    

p= population proportion of England people who are deficient in Vitamin D

Part a

The confidence interval would be given by this formula

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

For the 98% confidence interval the value of \alpha=1-0.98=0.02 and \alpha/2=0.01, with that value we can find the quantile required for the interval in the normal standard distribution.

z_{\alpha/2}=2.33

And replacing into the confidence interval formula we got:

0.20 - 2.33 \sqrt{\frac{0.2(1-0.2)}{2700}}=0.182

0.20 + 2.33 \sqrt{\frac{0.2(1-0.2)}{2700}}=0.218

And the 98% confidence interval would be given (0.182;0.218).

Part b

We are 98% confident that the true proportion of of England people who are deficient in Vitamin D is between 0.182 and 0.218.

Part c

If repeated samples were taken and the 98% confidence interval computed for each sample, 98% of the intervals would contain the population proportion.

Part d

Yes since the confidence interval not contains the value 0.25, we can refute the claim at 2% of significance.

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3 years ago
A farmer water 3/8 of a field what percentage is equivalent to the fraction of the field the farmer wanted?
Aleks [24]
I believe the correct answer is: 37%
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How many hours did jacoboys drive on Monday and Tuesday and in all?
melomori [17]
Looks like 10 and and a half if it's four it's 10 and a half if it 6 it's 12 and a half
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3 years ago
The polygon circumscribes the circle. Which of the following is the perimeter of the polygon?
dolphi86 [110]

The perimeter of the polygon that circumscribes the circle is 78 cm

<h3>What is an equation?</h3>

An equation is an expression that shows the relationship between two or more variables and numbers.

The circle tangent theorem states that tangents which meet at the same point are equal in length. Hence:

The missing lengths are 8, 6, 9 and 16.

Perimeter of the polygon = 2(8) + 2(6) + 2(9) + 2(16) = 78 cm

The perimeter of the polygon that circumscribes the circle is 78 cm

Find out more on equation at: brainly.com/question/2972832

#SPJ1

4 0
1 year ago
A furniture store salesman had $15,200 in total monthly sales last month. He made $912 in commission from those sales.
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We need to find out what percentage $912 is of $15 200. The answer is 6%, if I'm understanding the question correctly.
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