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4 years ago

8

A store buys a pair of pants from a manufacturer for $35.00 and marks them up 65%. What is the price the customer must pay? Writ

e a proportion or an equation to solve.

1 answer:

QveST [7]4 years ago

6 0

Costumer must pay $ 57.75

100%-----------35
165%-----------x

100x = 35x165
100x = 5,775
X= 57.75 The proportion is 35/100 = x/165

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A study was recently conducted at a major university to estimate the difference in the proportion of business school graduates w

sveta [45]

Answer:

$(0.1875-0.274) - 1.96 \sqrt{\frac{0.1875(1-0.1875)}{400} +\frac{0.274(1-0.274)}{500}}=-0.1412$

$(0.1875-0.274) + 1.96 \sqrt{\frac{0.1875(1-0.1875)}{400} +\frac{0.274(1-0.274)}{500}}=-0.0318$

And the 95% confidence interval would be given (-0.1412;-0.0318).

We are confident at 95% that the difference between the two proportions is between $-0.1412 \leq p_A -p_B \leq -0.0318$

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".

$p_A$ represent the real population proportion for business

$\hat p_A =\frac{75}{400}=0.1875$ represent the estimated proportion for Business

$n_A=400$ is the sample size required for Business

$p_B$ represent the real population proportion for non Business

$\hat p_B =\frac{137}{500}=0.274$ represent the estimated proportion for non Business

$n_B=500$ is the sample size required for non Business

$z$ represent the critical value for the margin of error

The population proportion have the following distribution

$p \sim N(p,\sqrt{\frac{p(1-p)}{n}})$

Solution to the problem

The confidence interval for the difference of two proportions would be given by this formula

$(\hat p_A -\hat p_B) \pm z_{\alpha/2} \sqrt{\frac{\hat p_A(1-\hat p_A)}{n_A} +\frac{\hat p_B (1-\hat p_B)}{n_B}}$

For the 95% confidence interval the value of $\alpha=1-0.95=0.05$ and $\alpha/2=0.025$ , with that value we can find the quantile required for the interval in the normal standard distribution.

$z_{\alpha/2}=1.96$

And replacing into the confidence interval formula we got:

$(0.1875-0.274) - 1.96 \sqrt{\frac{0.1875(1-0.1875)}{400} +\frac{0.274(1-0.274)}{500}}=-0.1412$

$(0.1875-0.274) + 1.96 \sqrt{\frac{0.1875(1-0.1875)}{400} +\frac{0.274(1-0.274)}{500}}=-0.0318$

And the 95% confidence interval would be given (-0.1412;-0.0318).

We are confident at 95% that the difference between the two proportions is between $-0.1412 \leq p_A -p_B \leq -0.0318$

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3 years ago

A regular pentagon has a perimeter of 5x+15 what is the length of one side

dsp73

Answer:

plz give full question

its just half

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3 years ago

Variable expression for 3 times the sum of x and 2

Lynna [10]

3(x+2)
Remember in expressions there’s no equals sign
Hope this helps!!

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3 years ago

Brainliest goes to whoever answers correctly try to show work ONLY if you can also if you want more points answer my other quest

Liula [17]

Answer:

Hi, there the answer is Company A

Step-by-step explanation:

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3 years ago

Need this for my math test?

docker41 [41]

Answer:

519.6

Step-by-step explanation:

A hexagon has a total of 720 for it's interior angles so each angle is 120 and in the triangle, each of them is 60, making it an equilateral triangle. You can use 30 60 90 triangles to find the height which is 5√3.

(5√3)*10=50√3

The area of the triangle times 6 is 300√3 which is approximately 519.6

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3 years ago