(b) 3, 3, 5 and

Mathematics

1 answer:

makkiz [27]2 years ago

8 0

Answer:

a 3,5,5,11

b 3,3,37,3

- 2,269

d 113, as it is a prime factor

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You want to include photos on the cover of a program for the school play, two across the page. The cover is 6 1/2 inches wide an

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Answer:

2 1/4 inches

Step-by-step explanation:

First, subtract all of the margins from the width to get 4 1/2 inches. Then, divide this by two to get 2 1/4.

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A^-5b^-4/a^-13b^8 a. a^8 b^12 b. ab^5 c. a^8/b^12 d.b^-9/b^-5

lord [1]

If you would like to solve a^(-5)b^(-4) / a^(-13)b^8, you can do this using the following steps:

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Rina8888 [55]

Answer:

$14.42-1.96\frac{6.95}{\sqrt{36}}=12.150$

$14.42+ 1.96\frac{6.95}{\sqrt{36}}=16.690$

So on this case the 95% confidence interval would be given by (12.150;16.690)

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".

$\bar X=14.42$ represent the sample mean

$\mu$ population mean (variable of interest)

$\sigma=6.95$ represent the population standard deviation

n=36 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)

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 table to find the critical value. The excel command would be: "=-NORM.INV(0.025,0,1)".And we see that $z_{\alpha/2}=1.96$