Write the equation of the line that passes through the points (-8, -8) and

A manufacturer of golf equipment wishes to estimate the number of left-handed golfers. A previous study indicates that the propo

never [62]

Answer:

A sample of 997 is needed.

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 of $1-\alpha$ , 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 $1 - \frac{\alpha}{2}$ .

The margin of error is of:

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

A previous study indicates that the proportion of left-handed golfers is 8%.

This means that $\pi = 0.08$

98% confidence level

So $\alpha = 0.02$ , z is the value of Z that has a p-value of $1 - \frac{0.02}{2} = 0.99$ , so $Z = 2.327$ .

How large a sample is needed in order to be 98% confident that the sample proportion will not differ from the true proportion by more than 2%?

This is n for which M = 0.02. So

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

$0.02 = 2.327\sqrt{\frac{0.08*0.92}{n}}$

$0.02\sqrt{n} = 2.327\sqrt{0.08*0.92}$

$\sqrt{n} = \frac{2.327\sqrt{0.08*0.92}}{0.02}$

$(\sqrt{n})^2 = (\frac{2.327\sqrt{0.08*0.92}}{0.02})^2$

$n = 996.3$

Rounding up:

A sample of 997 is needed.

3 0

3 years ago

How do I do Slope Intercept Form Step to Step? PLEASE HELP!

Arlecino [84]

So if an equation was f(x)=x+4

you would automatically change f(x) into y

so it would y-y=x(x-x)

so you plug in the x and 4 which is the first y and x

y-4=x(x-x)

you switch the numbers around

so your final answer would be x-4

4 0

3 years ago

-13x - 8 = 5 - 8x -3

kramer

Answer:

x = -2

Step-by-step explanation:

$-13x - 8 = 5 - 8x - 3 \\\\-13x + 8x = 5 - 3 + 8 \\\\-5x = 10 \\\\x = \frac{-10}{5} = -2$

3 0

3 years ago

R

Andreas93 [3]

TWINKLE TWINKLE LITTLE STAR

HOW I WONDER WHAT YOU ARE

UP ABOVE THE WORLD SO HIGH

LIKE A DIAMOND IN THE SKY

lol sorry-

your question ain't properly readable-

3 0

3 years ago

Read 2 more answers

Point P lies on the line with the equation y-4=3(x-2). If the x-coordinate of P is 4, what is the y-coordinate of P

maw [93]

Let's start by tidying up that equation and put it into slope-intercept form (y = mx + b); from there, we can plug in coordinates.

$y - 4 = 3(x-2)$

Let's use the distributive property on the right side:
$y - 4= 3x - 6$

Now add 4 to both sides
$(y - 4) + 4 = (3x - 6) + 4$

Which simplifies to:
$y = 3x - 2$

Since that's the equation of our line, now we can plug in coordinates and see what it churns out.

We know that the x-coordinate of P = 4 so let's substitute 4 in for x and calculate the y-coordinate:

$y = 3(4) - 2$
$y = 12 - 2$
$y = 10$

So the y-coordinate for point P = 10

6 0

3 years ago