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3 years ago

8

32 is 8 times as many as 4

2 answers:

DanielleElmas [232]3 years ago

8 0

yes, 8*4=32

check by doing 32/4

32/4=8

Feliz [49]3 years ago

8 0

Yes that is correct

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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

Arturiano [62]

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

The men s clothing buyer had a group of 50 jackets priced at $250 each that was selling very slowly. To stimulate sales of these

erastovalidia [21]

Answer:

The answer is $3000.

Step-by-step explanation:

The men's clothing buyer had a group of 50 jackets priced at $250 each.

Total price of jackets = $50\times250=12500$ dollars

The buyer reduced the price of the jackets in that group to $200 and 40 jackets were sold.

So, the price for selling 40 jackets is = $40\times200=8000$ dollars

Remaining jackets = $50-40=10$

These were sold at $150 each, totaling to = $10\times150=1500$ dollars

So, overall money earned by reducing prices both time = $8000+1500=9500$ dollars

And the markdown in dollars = (original price before reducing) minus (educed total price)

= $12500-9500=3000$ dollars

So, the answer is $3000.

3 0

3 years ago

The volume of a cylinder of radius 3r and height 6r is given by TT(3r)2(6r). Simplify the expression.

OLga [1]

Answer: $\pi 36r^{2}$

Step-by-step explanation:

ALRIGHT ARE YOU READY FOR EPIC MATH TIME?

because i know i am. so lets get this bread.

WATCH: we have $\pi (3r)2(6r)$

interesting... that first character is called pi. maybe i should have said, "lets get this pi".

so now lets do some algebra. i am going to work from right to left. lets multiply 6r by 2. that gives us 12r. now we have... $\pi (3r)(12r)$

WE ARE MAKING EPIC PROGRESS, AREN'T WE?

lets multiply 12r by 3r. then we have....

$\pi 36r^{2}$

notice how i multiplied 12 by 3 and also r by r (which gives 36 and $r^{2}$ respectively)

so your simplified expression is: $\pi 36r^{2}$

6 0

3 years ago

What is the value of x??

Fudgin [204]

Answer:

x + 5 = 5×

7x - 5 = 2x

5x + 2x + x = 180

<u>8</u><u>×</u><u> </u> = 180

8 8

x = 22.5

3 0

3 years ago

Nicolas sold 86 newspapers on Monday 79 on Tuesday and 68 on Wednesday and 83 on Friday how many newspapers did Nicholas sell on

natima [27]

Answer:

75

Step-by-step explanation:

86+79+68+83=316

391-316=75

8 0

2 years ago

Read 2 more answers