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Bad White [126]
3 years ago
10

Hope watches a movie Friday night that was two and one-half hours long. On Saturday, she watched a documentary half as long as F

riday’s movie. How long was the documentary?
Mathematics
2 answers:
Zolol [24]3 years ago
5 0

Answer:

1 hour and 15 minutes thats how long the documentary was

Anna35 [415]3 years ago
5 0

Movie friday night was 2 hours and 30 minutes long.

The documentary was half as long as Friday's movie.

So it will be: \frac{2 hours  .and.  30 minutes}{2}  = 1 hour.and .15 minutes

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Event A occurs with probability 0.2. Event B occurs with probability 0.8. If A and B are disjoint (mutually exclusive), then
swat32
What's the question? Do you want to prove these statements?
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Researchers are interested if a school breakfast program leads to taller children. Assume that the population of all 5 year-old
DedPeter [7]

Answer:

39-1.96\frac{1}{\sqrt{25}}=38.608    

39+1.96\frac{1}{\sqrt{25}}=39.392    

So on this case the 95% confidence interval would be given by (38.608;39.392)    

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".

\bar X=39 represent the sample mean for the sample  

\mu population mean (variable of interest)

\sigma=1 represent the population standard deviation

n=25 represent the sample size  

Solution to the problem

The confidence interval for the mean is given by the following formula:

\bar X \pm z_{\alpha/2}\frac{\sigma}{\sqrt{n}}   (1)

The margin of error is given by:

ME= z_{\alpha/2}\frac{\sigma}{\sqrt{n}}

Since the Confidence is 0.95 or 95%, the value of \alpha=0.05 and \alpha/2 =0.025, and we can use excel, a calculator or a tabel to find the critical value. The excel command would be: "=-NORM.INV(0.025,0,1)".And we see that z_{\alpha/2}=1.96

And replacing we got:

ME= 1.96 *\frac{1}{\sqrt{25}}= 0.392

Now we have everything in order to replace into formula (1):

39-1.96\frac{1}{\sqrt{25}}=38.608    

39+1.96\frac{1}{\sqrt{25}}=39.392    

So on this case the 95% confidence interval would be given by (38.608;39.392)    

7 0
3 years ago
2/3 divided by 5 is it 2/3 times 1/5=2/15
drek231 [11]

(2/3)/5

Yes. (2/3)/5 is the same as 2/15 because:

(2/3) = (0.67)/5 = 0.133 (continuing)

(2/15) = 0.133 (countinuing)

hope this helps

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The circumference of a circle is 16Pi ft.<br><br> The radius is <br> ft.
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8pi ft

Just divide 16 by 2 because it’s half of the diameter
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What is the area of the two-dimensional cross section that is parallel to face ABC ?
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