A vision insurance company selects a SRS of 300 clients who wear contact lenses. They randomly assign 200 clients to the experimental group to receive an app that promotes contact lens hygiene. The remaining 100 clients form the control group. Suppose that without the app, 96%, percent of their clients with contact lenses would have healthy eyes for the year, and that with the app, 99%, percent would have healthy eyes.

After a year, the insurance company looks at the difference (Experimental−Control) between the proportions of clients with healthy eyes in each group.

What will be the shape of the sampling distribution of the difference in sample proportions, and why?


A

Approximately normal, because we expect 288 healthy and 12 not-healthy in both groups, and all of these counts are at least 10.


B

Approximately normal, because we expect 192 healthy and 20 not-healthy eyes for the experimental group, and 96 and 40 for the control group, and all of these counts are at least 10.


C

Not normal, because we expect fewer than 10 clients with healthy eyes in both groups.


D

Not normal, because we expect fewer than 10 clients with not-healthy eyes in both groups.

Answer:

-5 > -7 and 0-5>-7 are both true statements the rest aren't.

Step-by-step explanation:

Answer:

the answer is a

Step-by-step explanation:

A reasonable domain would be  

−∞<x<∞

because  

A(x)

is defined for all real numbers.

Answer:

(5j + 4k)2

2(5j + 4k)

Step-by-step explanation:

Only choices where it distributes 10j + 8k

Answer: 2(5j+ 4K) and (5j+4k)2

Hope this helps!

Step-by-step explanation:

the answer is 22 hope this helps

it's pretty simple 678910 are greater and -4 -3 -2 -1 are too because they are closer to the whole than 5 is

Answer:

Open circle at 0 arrow to the left

Open circle at 5 arrow to the right

Step-by-step explanation:

numbers that are negative is asking for everything to the left of 0. not inclusive though because 0 is not negative.

Open circle at 0 arrow to the left

Numbers greater than 5 will be to the right of five. Not inclusive because it doesn't ask for numbers equal to 5 too.

Open circle at 5 arrow to the right

Answer:

Step-by-step explanation:

2.5x + 2.5x + x = 60

x= 10

2.5x = 25

the sides of the triangle are 25, 25, 10

I don't know what you mean by "midpoints of the triangle".

Answer:

x = 20

Step-by-step explanation:

You can solve this problem using similar triangles; you know the triangles are similar due to the AAA property because of the Corresponding Angles Theorem.

To find x, you need to identify what sides 8 and x correspond to:

8 corresponds to 14 (6 + 8)

x corresponds to (x + 15)

Now, you need to find the scale factor by dividing 14 by 8:

14 ÷ 8 = 7/4

At this point, you can write and solve an equation for x:

7/4x = x + 15

3/4x = 15 (subtract x from both sides)

x = 20 (multiply both sides by 3/4)

Answer:

It will became like this.

Hope this will help you.

Answer:

38.5, 77, 192.5

Step-by-step explanation:

x + 2x + 5x = 308

8x = 308

x = 38.5

38.5 + 2(38.5) + 5(38.5)

38.5 + 77 + 192.5 = 208

38.5, 77, 192.5

Answer: B.

Step-by-step explanation:

Suppose you have a L.L. Bean coupon of $63.60 and you want to know the final or sale price if the discount is 20 percent.

Using the formula (b) and replacing the given values:

Sale Price = Original Price - Amount Saved. So,

Sale Price = 63.60 - 12.72

Sale Price = $50.88 (answer).

This means the cost of the item to you is $50.88.

You will pay $50.88 for a item with original price of $63.60 when discounted 20%.

In this example, if you buy an item at $63.60 with 20% discount, you will pay 63.60 - 12.72 = 50.88 dollars.

Answer: $50.88

Step-by-step explanation:

Step 1: Find 20% of 63.60

20% of 63.60

20% = 20/100 = 0.2

0.2 × 63.60 = 12.72

20% of 63.60 is removed to get the selling price.

Step 2: Subtract

20% of 63.60 = 12.72

63.60 - 12.72 = 50.88

The selling price is $50.88.

Answer:

100x-40

Step-by-step explanation:

10*10x and  10* -4

Answer:

a

Step-by-step explanation:

if 3and 4 origin it a would be your answer

Answer:

4.24

Step-by-step explanation:

Answer:

the answer is ç

Step-by-step explanation:

because π=3.14

Answer: 1430 girls

Step-by-step explanation:

In order to solve this we must take it step by step. So first things first. There are 12,481 people at this concert. If 8906 are adults we need to subtract to find out how many children there are. 12481-8906=3575. There are 3,575 children at this concert. Now if 3/5 of the children are boys then the other missing 2/5 must be the girls. There are a couple of ways to solve this but im going to go the direct route. multiply 3/5 by 3,575 to get 2,145 boys. Now if 2,145 out of 3,575 are boys then 3575-2145= 1430 girls

Let's sum up what we learned

1. 12,481 people are at a concert

2. 8906 adults are at this concert

3. 3,575 are children

4. 2145 are boys

5. Which means there are 1430 girls

Answer:

136 hope this helps!

Answer:

66 Percent of students rides the bus to school, which is approx 1/3 lol

Step-by-step explanation:

Have a nice day

Answer:

Step-by-step explanation:

y=-1

Answer:

540$

Step-by-step explanation:

Answer:

29 days.

Step-by-step explanation:

200 • 29 = 5800

Hope this helps

Answer:

29

Step-by-step explanation:

5,800  ÷ 200 = 29

Answer:

125.85 meter in gigameter = 1.2585 x 10⁻⁷

Step-by-step explanation:

Given:

125.85 meter

Find:

125.85 meter in gigameter

Computation:

1 Gm = 1,000,000,000 m

125.85 meter in gigameter = 125.85 x 10⁻⁹

125.85 meter in gigameter = 1.2585 x 10⁻⁷

Answer:

c,or d I think please be right

Answer:

929,477.13

Step-by-step explanation:

Number of years, n = 20

Using the relation :

a(1- r^n)/ (1 - r) ;

where a is the first term, r is the common ratio and n is the number of years

a = 19000

r = 1 + 8.6% = 1.086

19000(1 - 1. 086^20) / (1 - 1.086)

19000(1 - 1.086^20) / (1 - 1.086)

−79935.0336930 / (1 - 1.086)

= 929,477.13

Answer:

1) [tex]49 {a}^{2} - 16 {b}^{2} [/tex]

2) [tex]251502[/tex]

Step-by-step explanation:

a) Question :-[tex](7a - 4b)(7a + 4b)[/tex]

Identity used here :-[tex](a + b)(a - b) = {a}^{2} - {b}^{2} [/tex]

So,

[tex](7a + 4b)(7a - 4b)[/tex]

[tex]=> {(7a)}^{2} - {(4b)}^{2} [/tex]

[tex]=> 49 {a}^{2} - 16 {b}^{2} [/tex]

b) Question :- [tex]501 \times 502[/tex]

Identity used here :-[tex](x + a)(x + b) = {x}^{2} + (a + b)x + ab[/tex]

So,

[tex]501 \times 502 = (500 + 1)(500 + 2)[/tex]

[tex] = > {(500)}^{2} + (1 + 2)500 + 1 \times 2[/tex]

[tex] = > 250000 + 1500 + 2[/tex]

[tex] = > 251502[/tex]

Answer:

Yes, the student can use three of these sticks to make a right triangle.

Step-by-step explanation:

The measure of four sticks = 3 inches, 4 inches, 5 inches and 6 inches.

Answer:

1st one

Step-by-step explanation

I have NEVER in my life seen a dog with pants on its back legs, only on both so yeah.