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2 years ago

jacket is on sale at 15% off the original price of $68. based on this sale how much money will he save

Mathematics

1 answer:

laiz [17]2 years ago

8 0

Answer: He will save $57.80

Step-by-step explanation: Sale Price = $57.8. This means the cost of the item to you is $57.8. You will pay $57.8 for an item with original price of $68 when discounted 15%. In this example, if you buy an item at $68 with 15% discount, you will pay 68 - 10.2 = 57.8 dollars.

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Find the percentage of increase from 80 to 90

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2 years ago

A political candidate has asked you to conduct a poll to determine what percentage of people support her. If the candidate only

Semenov [28]

Answer:

Step-by-step explanation:

Hello!

The variable of interest is:

X: Number of people that support the candidate.

You need to calculate the sample size to estimate the population proportion of supporters given a confidence level of 99% and a margin of error of 4%

The margin of error of the confidence level for the population proportion is

d= $Z_{1-\alpha /2}$ * $\sqrt{\frac{p'(1-p')}{n} }$

From this formula you have to clear the value of n:

$\frac{d}{Z_{1-\alpha /2}}$ = $\sqrt{\frac{p'(1-p')}{n} }$

$(\frac{d}{Z_{1-\alpha /2}})^2$ = $\frac{p'(1-p')}{n}$

$n*(\frac{d}{Z_{1-\alpha /2}})^2$ = $p'(1-p')$

n= $p'(1-p') * (\frac{Z_{1-\alpha/2}}{d} )^2$

$Z_{1-\alpha/2}= Z_{0.995}= 2.586$

sample proportion "p'" since there is no sample information, nor any previous information is known, you have to consider it as the "worse case scenario" and use the value of p'= 0.50

d= 0.04

$n= p'(1-p') * (\frac{Z_{1-\alpha/2}}{d} )^2= 0.5*0.5*(\frac{2.586}{0.04} )^2= 1044.9= 1045$

She has to take a sample of 1045 people to estimate the population proportion of her supporters with a confidence level of 99% and a margin of error of 4%

I hope this helps!

4 0

2 years ago

HELP??????????????????????????/???????????????????????????????????????????????????/??????????A fruit company delivers its fruit

Sphinxa [80]

Answer:

small: 6.25

large: 18.25

Step-by-step explanation:

Set the large boxes as x and the small boxes as y (The weight is the constant).

3x+5y=86

6x+2y=122

Now just solve the systems of equations using either substitution or elimination.

-6x-10y=-172 multiply the whole equation by -2 to eliminate

6x+2y=122, add the equations

-8y=-50

y= 6.25

Plug in y either equation:

3x+5(6.25)=86

3x=86-31.25

3x=54.75

x=18.25

Each small box weighs 6.25 kilograms, each large box weighs 18.25 kilograms, to check plug in the values to the other equation to see if they add up correctly.

6 0

3 years ago

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Hey ! Can anyone help me solve these problems please. Thank you !

Dmitriy789 [7]

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1 year ago