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2 years ago

8

Sarah is pouring soda into papercups. She has 4.5 liters of soda. If each papercup holds 0.25 liters, how many papercups will sh

e fill?

1 answer:

faltersainse [42]2 years ago

5 0

Answer:

18

Step-by-step explanation:

4.5 liters / .25 liters/pcup = 18 pcups

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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

3 years ago

Raphael is traveling in a straight line at a constant speed from point A to point B. His distance from point B in miles is-20t+

Afina-wow [57]

Answer:

Speed = 20 mi/h

Explanation:

There are two points A and B

Distance between both the points are define with function -20t + 45 miles

where t represent the number of hours of travelling.

Now firstly we find the initial position. At starting time is 0, so we put t=0 in given function of t.

At t=0;

d₀ = -20(0) + 45 = 0 + 45 = 45 miles

Now we find the distance travell after starting first hour.

Than we put t = 1 in the given function

At t = 1;

d₁ = -20(1) + 45 = -20 + 45 = 25 miles

Difference between d₁ & d₀ is

45 - 25 = 20 miles

We see that in one hour, total distace is covered 20 miles

Now we use time, speed, distance relation

Speed = $\frac{distance}{time}$

S = $\frac{20}{1}$

S = 20 miles/hour

That's the final answer.

I hope it will help you.

5 0

3 years ago

what is the equation of a horizontal line passing through the point (−3, 8)? x = −3 y = 8 x = 5 y = −11

Blababa [14]

Equation of a horizontal line passing through point (-3, 8) is y = 8.

5 0

3 years ago

Becky is competing in a 8-mi road race. She runs at a constant speed of 6 mi/h write an equation in slope intercept form to repr

enot [183]

Answer:

y=-6x+8

Step-by-step explanation:

8 is the miles she has she runs 6 miles so she has 2 miles left that's why when we put it in slope intercept forms it's going to be

y=-6x+8

6 0

3 years ago

For which of these does correlation most likely imply causation?

Tema [17]

Answer:B

Step-by-step explanation:

8 0

4 years ago

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