34. The number of songs that an MP3 player can

Vlad the Impaler promotes many of his soldiers into generals (don't ask what happened to the past generals). Haley thinks the pr

marin [14]

Using the formula for the margin of error, it is found that Haley should sample 12,724 soldiers.

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence level of $\alpha$ , we have the following confidence interval of proportions.

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

In which

z is the z-score that has a p-value of $\frac{1+\alpha}{2}$ .

The margin of error is of:

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

Estimate of the proportion of 64%, hence $\pi = 0.64$ .

94% confidence level

So $\alpha = 0.94$ , z is the value of Z that has a p-value of $\frac{1+0.94}{2} = 0.97$ , so $z = 1.88$ .

Margin of error of <u>less than 0.008</u> is wanted, hence, we have to find n when M = 0.008.

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

$0.008 = 1.88\sqrt{\frac{0.64(0.36)}{n}}$

$0.008\sqrt{n} = 1.88\sqrt{0.64(0.36)}$

$\sqrt{n} = \frac{1.88\sqrt{0.64(0.36)}}{0.008}$

$(\sqrt{n})^2 = (\frac{1.88\sqrt{0.64(0.36)}}{0.008})^2$

$n = 12723.84$

Rounding up, Haley should sample 12,724 soldiers.

A similar problem is given at brainly.com/question/25404151

4 0

3 years ago

Megan owns a clothing boutique. The table below represents the profit made, in dollars, every year since 2010, where x represent

sergij07 [2.7K]

Answer:C. Since the profit made in 2012 is equal to the profit made in 2014, the profit is symmetric about the line x = 3.

Step-by-step explanation:

Let the profit made by the boutique is given by the function y(x) then

We can see

Profit made in year 2011=profit made in year 2015

i.e.y(1)=y(5)=$84,000

profit made in year 2012=profit made in year 2014

i.e.y(2)=y(4)=$111,000

And profit made in year 2013 is standing in middle as y(3)=$120,000

which gives the line of symmetry x=3.(with reference to the figure)

Therefore, the profit made in 2012 is equal to the profit made in 2014, the profit is symmetric about the line x = 3.

Line of symmetry is an imaginary line that divides a line or shape making two identical halves.

8 0

3 years ago

109.06 in scientific notation is

kaheart [24]

The correct answer is 1.0906

6 0

3 years ago

Read 2 more answers

Rewrite the following equation in standard form.<br> y + 4 = 5(x - 8)

Helen [10]

Answer:

5x-y-36=0

Step-by-step explanation:

y+4=5x-40

5x-y=36

4 0

3 years ago

The population of a city has decreased by 35% since it was last measured. If the current population is 9100 , what was the previ

Alina [70]

The previous population was 14000.

Explanation

The population decreased by 35% since the last measurement. So the current population is less than the previous population.

current population=9100

previous population =x

current population is 35% less than the previous population x

$9100=x*(100-35)/100\\9100=(x*65)/100\\x=(100*9100)/65=14000$

The previous population was 14000.

4 0

3 years ago