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2 years ago

PLEASE HELP ME WITH THIS QUESTION 6

Mathematics

1 answer:

nata0808 [166]2 years ago

5 0

Answer:

Step-by-step explanation:

Assuming this is a trapezoid,

$\frac{29+WZ}{2}=37 \\ \\ 29+WZ=74 \\ \\ WZ=45$

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We would like to create a confidence interval.

Vlada [557]

Answer:

c.A 90% confidence level and a sample size of 300 subjects.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence level $1-\alpha$ , we have the confidence interval with a margin of error of:

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which

z is the zscore that has a pvalue of $1 - \frac{\alpha}{2}$ .

In this problem

The proportions are the same for all the options, so we are going to write our margins of error as functions of $\sqrt{\pi(1-\pi)}$

a.A 99% confidence level and a sample size of 50 subjects.

$n = 50$

99% confidence interval

So $\alpha = 0.01$ , z is the value of Z that has a pvalue of $1 - \frac{0.01}{2} = 0.995$ , so $Z = 2.575$ .

The margin of error is

$M = z\sqrt{\frac{\pi(1-\pi)}{n}} = \frac{2.575}{\sqrt{50}}\sqrt{\pi(1-\pi)} = 0.3642\sqrt{\pi(1-\pi)}$

b.A 90% confidence level and a sample size of 50 subjects.

$n = 50$

90% confidence interval

So $\alpha = 0.1$ , z is the value of Z that has a pvalue of $1 - \frac{0.1}{2} = 0.95$ , so $Z = 1.645$ .

The margin of error is

$M = z\sqrt{\frac{\pi(1-\pi)}{n}} = \frac{1.645}{\sqrt{50}}\sqrt{\pi(1-\pi)} = 0.2623\sqrt{\pi(1-\pi)}$

c.A 90% confidence level and a sample size of 300 subjects.

$n = 300$

90% confidence interval

So $\alpha = 0.1$ , z is the value of Z that has a pvalue of $1 - \frac{0.1}{2} = 0.95$ , so $Z = 1.645$ .

The margin of error is

$M = z\sqrt{\frac{\pi(1-\pi)}{n}} = \frac{1.645}{\sqrt{300}}\sqrt{\pi(1-\pi)} = 0.0950\sqrt{\pi(1-\pi)}$

This produces smallest margin of error.

d.A 99% confidence level and a sample size of 300 subjects.

$n = 300$

99% confidence interval

So $\alpha = 0.01$ , z is the value of Z that has a pvalue of $1 - \frac{0.01}{2} = 0.995$ , so $Z = 2.575$ .

The margin of error is

$M = z\sqrt{\frac{\pi(1-\pi)}{n}} = \frac{2.575}{\sqrt{300}}\sqrt{\pi(1-\pi)} = 0.1487\sqrt{\pi(1-\pi)}$

6 0

4 years ago

) It has been estimated that 53% of all college students change their major at least once during the course of their college car

Ymorist [56]

Answer:

116 students

Step-by-step explanation:

The standard deviation for a proportion is:

$s=\sqrt{\frac{(1-p)*p}{n}}$

For any measured sample proportion x, the z score is given by:

$z = \frac{x-p}{s}$

The population proportion is 0.53

At the 14th percentile, the corresponding z-score is z =-1.08.

Since 0.48 is at the 14th percentile, the standard deviation is:

$-1.08=\frac{0.48-0.53}{s}\\ s=0.46296$

Therefore, the sample size 'n' is given by:

$0.046296=\sqrt{\frac{(1-0.53)*0.53}{n}}\\n=\frac{0.47*0.53}{0.046296^2}\\n= 116\ students$

The sample size must have been of 116 students.

6 0

3 years ago

There is a bag filled with 4 blue and 5 red marbles. A marble is taken at random fròm the bag,the colour is noted and then is re

atroni [7]

Hi there!

Answer:

1/6

Explanation:

The first probability of getting blue is 4 out of the total marbles so 4/9.

The second time there are only 3 blue marbles out of 8 now so 3/8.

So the answer is 4/9X3/8

which equals 12/72 or 1/6

Hope this helps!

7 0

3 years ago

What is one example of a rectangular prism with a volume of 64?<br> That's NOT 4x4x4 or 8x4x2!!!

vazorg [7]

Answer:

16 × 2 × 2

Step-by-step explanation:

64 = 2 × 2 × 2 × 2 × 2 × 2

=> 16 × 2 × 2

7 0

3 years ago

^^^^^^^^^^^^^^^^^^^^

Sladkaya [172]

<h2>Hello!</h2>

The answer is:

The correct option is:

A) $74.55

To calculate how much does Sonya pay for the four pairs altogether, we need to calculate the original price after the 50% discount and the taxes.

Calculating we have:

$PriceAfterDiscount=35*50(percent)=35*\frac{50}{100}\\\\35*\frac{50}{100}=35*0.5=17.5$

We have that before the tax, the price of the shoes was $17.5, then, calculating the price after the taxes, we have:

$AfterTaxes=17.5(1+6.5(percent))=17.5(1+\frac{6.5(percent)}{100})\\\\AfterTaxes=17.5(1+\frac{6.5(percent)}{100})=17.5*(1+0.065)\\\\AfterTaxes=17.5*(1+0.065)=17.5*1.065=18.637$

So, we have that the price after discount and the taxes is $18.637 per each pair of shoes.

Hence, the price for the four pairs of shoes will be:

$TotalPrice=4*18.637=74.548=74.55$

Have a nice day!

8 0

3 years ago