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vivado [14]
2 years ago
8

What is 12 divided by 7?

Mathematics
2 answers:
Molodets [167]2 years ago
8 0

Answer:

1.71428571429..........

jenyasd209 [6]2 years ago
6 0
That would be: 1.71428571 or in fraction form 3/7, 1 5/7
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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.

3 0
2 years ago
Solve the equation and enter the value of x below.<br> x + 29 = 49<br> X =
andrew-mc [135]

Answer:

x = 20

Step-by-step explanation:

x + 29 = 49

- 29       - 29

x=20

5 0
2 years ago
A particular type of mold is growing 9.7% per hour. Assuming that mold growth continues at this rate and there were 14,000 spore
nydimaria [60]

Total mold spores at end of 9.30 am is 26901.

Step-by-step explanation:

Number of molds = 14000

Rate = 9.7% per hour

Number of hours = 12 am to 9.30 am =  9\frac{1}{2} hours

Growth of mold = 14000 * 9.7% * 9\frac{1}{2}

                            = 12901

Total mold spores at end of 9.30 am = 14000 + 12901

                                                                = 26901

Hence, the expected number of mold spores at 9.30 am is 26901.

7 0
3 years ago
Simplify the expression<br> (7x + 5) - (2x - 4)
34kurt

Answer: 17x+20

7x * 2x = 14x

5 * 4 = 20

14x + 3x = 17x

17x + 20

7 0
2 years ago
Point T is located at (6, –2) and point S is located at (1, 13). What are the coordinates of the point that is 4/5 of the way fr
Darya [45]

Answer:

(2, 10)

Step-by-step explanation:

Making the points on a graph and creating a line between them, you can see the equation to connect the two points is -3x + 16. Then, because the points are 5 units apart horizontally, go to the point that is 4 units left of point T (1/4 of the way between T and S) and that is your point: (2, 10)

I apologize if this is incorrect :)

7 0
3 years ago
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