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Alex
3 years ago
6

A group of 7 students was asked, "How many hours did you watch television last week?" Here are their responses. 20,6,17,10,19,15

,9 Find the mean number of hours for these students. If necessary, round your answer to the nearest tenth.
Mathematics
1 answer:
Burka [1]3 years ago
5 0

Answer: 13.71

Step-by-step explanation:

20+6+17+10+19+15+9=96

96/7=13.71

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The points J, K, L and M all lie on the same line segment, in that order, such that the ratio of JK:KL:LMJK:KL:LM is equal to 1:
RideAnS [48]

Answer: JL = 25

Step-by-step explanation: Segment JM is the total measure of the line segment and it equals 45.

Suppose first segment JK measures d.

The total ratio is the sum of each part

d + 4d + 4d = 9d

The sum of each part corresponds to the total measure of the line segment. Then:

9d = 45

d = 5

Segment JL is

JL = d + 4d

JL = 5d

JL = 5.5

JL = 25

Segment JL measures 25 units.

5 0
3 years ago
A government report gives a 99% confidence interval for the proportion of welfare recipients who have been receiving welfare ben
juin [17]

Answer:

The estimation for the proportion for this case is \hat p = 0.21

And we know that the 99% confidence interval is given by:

0.21 \pm 0.045

So then the margin of error at 99% of confidence is 0.045, and the margin of error is given by this formula:

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

If we decrease the confidence level this margin of error can't be higher than 0.045 so then the correct answer for this case would be:

d. 21% ± 4.8%

Because if the z value decrease from 2.58 to 1.96 not makes sense that the margin of error increase from 0.045(4.5%) to 0.048(4.8%)

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".  

The margin of error is the range of values below and above the sample statistic in a confidence interval.  

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".  

Solution to the problem

The population proportion have the following distribution  

p \sim N(p,\sqrt{\frac{\hat p(1-\hat p)}{n}})  

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 95% confidence interval the value of \alpha=1-0.95=0.05 and \alpha/2=0.025, with that value we can find the quantile required for the interval in the normal standard distribution.  

z_{\alpha/2}=1.96

For the 99% confidence interval the value of \alpha=1-0.99=0.01 and \alpha/2=0.005, with that value we can find the quantile required for the interval in the normal standard distribution.  

z_{\alpha/2}=2.58

The estimation for the proportion for this case is \hat p = 0.21

And we know that the 99% confidence interval is given by:

0.21 \pm 0.045

So then the margin of error at 99% of confidence is 0.045, and the margin of error is given by this formula:

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

If we decrease the confidence level this margin of error can't be higher than 0.045 so then the correct answer for this case would be:

d. 21% ± 4.8%

Because if the z value decrease from 2.58 to 1.96 not makes sense that the margin of error increase from 0.045(4.5%) to 0.048(4.8%)

5 0
3 years ago
If p - 5q = 4qr,<br> p<br> find the value of p when<br> q = 4 and r = -1.
den301095 [7]

Answer:

p - 5q = 4qr where

q = 4 and r = -1 by applying these value

p - 5(4) = 4(4)(-1)

p - 20 = -16

p = -16 + 20

p = 4

4 0
2 years ago
WILL GIVE BRAINLIEST, SUPERB RATING, AND THANKS!
Vaselesa [24]

A line on this coordinate plane is horizontal when every input (x) has the same output y).

This function always gives the same output with no matter what input you put it in.

8 0
3 years ago
Please help me if you know answer
BartSMP [9]

Answer:

the answer would be 36,57,87 because it has to be equal to 180

and its an acute angle  

Step-by-step explanation:

6 0
3 years ago
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