A T-shirt that usually cost $32 is on sale 1/4 off.What is the sale price??

2 answers:

7 0

You know that 1/4 --> 25 %.

So

32 --> 100%
x --> 75 %

$x= \frac{32*75}{100} = 24$

Therefore The sale price is $24.

Hope this helps !

Photon

olya-2409 [2.1K]3 years ago

3 0

32/4 = 8
32 - 8 = 24 $

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You want to obtain a sample to estimate a population mean. Based on previous evidence, you believe the population standard devia

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Answer:

$n=(\frac{z_{\alpha/2} \sigma}{ME})^2$ (3)

$n=(\frac{2.58(54.5)}{5})^2 =790.846 \approx 791$

So the answer for this case would be n=791 rounded up to the nearest integer

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".

$\bar X$ represent the sample mean for the sample

$\mu$ population mean (variable of interest)

s represent the sample standard deviation

n 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 0.99 or 99%, the value of $\alpha=0.01$ and $\alpha/2 =0.005$ , and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-NORM.INV(0.005,0,1)".And we see that $z_{\alpha/2}=2.58$

The margin of error is given by this formula:

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

And on this case we have that ME =+5 and we are interested in order to find the value of n, if we solve n from equation (2) we got:

$n=(\frac{z_{\alpha/2} \sigma}{ME})^2$ (3)

$n=(\frac{2.58(54.5)}{5})^2 =790.846 \approx 791$

So the answer for this case would be n=791 rounded up to the nearest integer

4 0

3 years ago

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Step 1: Distribute the -3 to the 9x to get -27x.
Step 2: Distribute the -3 to the -q.

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Step 1: Distribute the 2 to the 12 to get 24.
Step 2: Distribute the 2 to the 5p to get 10p.

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Step 1: Distribute the -7 to the -8y to get 56y.
Step 2: Distribute the -7 to the 7 to get -49.

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Step 1: Distribute the 10 to the 2 to get 20.
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Step 1: Distribute the -8 to the 7 to get -56.
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Step 1: Place a 1 after the negative symbol to symbolize -1.
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Step 1: Distribute the -6 to the 5p to get -30p.
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3 years ago

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