The expression shown is equivalent to

A:-4w⁶
B:-4W³y
C:9W⁶
D:9W³​

Answer:

The 96% confidence interval for the size of the difference in average tips between the two groups is (1.47%, 4.09%).

Step-by-step explanation:

Before building the confidence interval, we need to understand the central limit theorem and subtraction of normal variables.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Subtraction of normal variables:

When we subtract normal variables, the mean is the subtraction of the means while the standard deciation is the square root of the sum of the variances.

Of the 32 parties who received the chocolate, the average tip (as a percentage of the bill) was 17.84%, with a standard deviation of 3.06%.

This means that:

[tex]\mu_{C} = 17.84, s_{C} = \frac{3.06}{\sqrt{32}} = 0.541[/tex]

Of the 32 parties who did not receive the chocolate, the average tip (as a percentage of the bill) was 15.06%, with a standard deviation of 1.89%.

This means that:

[tex]\mu_{NC} = 15.06, s_{NC} = \frac{1.89}{\sqrt{32}} = 0.3341[/tex]

Difference in average tips

The distribution has mean:

[tex]\mu = \mu_{C} - \mu_{NC} = 17.84 - 15.06 = 2.78[/tex]

Standard deviation:

[tex]s = \sqrt{s_{C}^2 + s_{NC}^2} = \sqrt{0.541^2 + 0.3341^2} = 0.6358[/tex]

96% confidence interval

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1 - 0.96}{2} = 0.02[/tex]

Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].

That is z with a pvalue of [tex]1 - 0.02 = 0.98[/tex], so Z = 2.054.

Now, find the margin of error M as such

[tex]M = zs[/tex]

[tex]M = 2.054*0.6358 = 1.31[/tex]

The lower end of the interval is the sample mean subtracted by M. So it is 2.78% - 1.31% = 1.47%

The upper end of the interval is the sample mean added to M. So it is 2.78% + 1.31% = 4.09%

The 96% confidence interval for the size of the difference in average tips between the two groups is (1.47%, 4.09%).

Answer:

Heron's formula (sometimes called Hero's formula), named after Hero of Alexandria, gives the area of a triangle when the length of all three sides are known. Unlike other triangle area formulae, there is no need to calculate angles or other distances in the triangle first.

Answer:

The answer is 5.50.

Step-by-step explanation:

First, you do 4.25+3.00=7.25

Second, 20-7.25=12.75

but read the beggining again it says sean AND hope so repeat the step again.

First, you do 4.25+3.00=7.25

Second, 20-14.50=5.50

Answer:

6 feet

Step-by-step explanation:

(24+x)(16+x)=660

384+24x+16x+x²=660

x²+40x-276=0

x`= 6

x```= -46......no serve

Answer......is 6 feet

The width of the flower bed is  6 feet.

6 feet is the width of the flower bed.

(24+x)(16+x)=660

384+24x+16x+x²=660

x²+40x-276=0

x`= 6

x```= -46 which cannot be the case, therefore 6 feet is the width of the flower bed.

To learn more about area, refer

brainly.com/question/25292087

#SPJ2

Answer:

B

Step-by-step explanation:

i think

Answer:

1.625 kg

Step-by-step explanation:

Answer:

this is D

Step-by-step explanation:

Answer:

formula 3 only

Step-by-step explanation:

formula for the are of a circle is [tex]A=\pi r^{2}[/tex]

the other 2 formulas are the ones for circumference

Answer:

um mm

Brent fayiyz

all his songs

and ummm

Answer:

number 12 is A for sure

Answer:

1970 +46%

1980 +232%

1990 +14%

2000 -8%

Step-by-step explanation:

Answer:

100%

Step-by-step explanation:

It is confirmed to happen, or [tex]\frac{100}{100}[/tex]

Answer:

An event that is guaranteed to happen has a probability of exactly 1

Answer:

5x-60=x - solution,..........

Answer:

Answer:

5x +60/x -15x +15/x-20

60/x+15/x-15x+5x-20

75/x-10x-20

is your answer

combined liked terms by adding and subtracting.

Answer:

6 dollars and 10 cents

Step-by-step explanation:

I'm sorry this isn't the answer, but I just want you to know that you are incredible and that I love you for you! You are special to everyone you meet, and should not change who you are. I know your life may be tough, but you are strong and can get through it!

Answer:

4.7ft

Step-by-step explanation:

Hello, the answer would be 4.7ft because 4.7^2 is closest to 22ft^2 with it being 22.09ft^2.

Answer:

H 60

Step-by-step explanation:

You would need to find out what you would multiply times 0.5 to get 30. Then to get that answer just divide 30 by 0.5. which is 60

Answer:

45 degrees.

Step-by-step explanation:

When two angles are next to each other along a straight line, their sum = 180 degrees.

180 - 135 = 45

Answer:

I know i may be unwanted here but I just want you to know that you are incredible and that I love you for you! You are special to everyone you meet, and should not change who you are. I know your life may be tough, but you are strong and can get through it!

Step-by-step explanation:

Answer:

Step-by-step explanation:

where is the picture?

Answer:

you need a picture lol

Step-by-step explanation:

Answer:

Depends

Step-by-step explanation:

PS4 has a better gaming system and better games (Spiderman example)

But Xbox has the better controller. I think Xbox is better I prefer it but it doesn't really matter.

Answer:

4.5 is the mean/average

Step-by-step explanation:

3+1+5+4+8+6=27

27 divided by 6 = 4.5

Answer:

Hello, the multiplicative inverse is just another name for reciprocal. You can use this type of method when dividing fractions like:

1/2/3/5

You use the method known as kfc, keep, flip, change like this:

1/2 x 5/3

Notice how 1/2 is kept the same, the division sign is now a multiplying sign, and 3/5 is flipped.

And then you just answer it from there and you get 5/6

Step-by-step explanation:

I hope this helped you!

Answer:

on 32 and -32

Step-by-step explanation:

Answer: b

Step-by-step explanation:

Radius = 9 inches, Pi= 3.14

Circumference = 2 x pi x radius = 2 x (3.14) x 9 = 56.52

Area = pi x radius x radius = (3.14) x 9 x 9 = 254.34

Answer:

Answer attached

Step-by-step explanation:

Answer:

14302 miles

Step-by-step explanation:

from alaska to chicago it is 2861 mi.

2861 times 5

that divdied by three is 14302

Answer:

there is nothing here but thanks for the points

Step-by-step explanation:

Have a great rest of your day/night!

Answer: 7.5

Step-by-step explanation:

A1=1/2pir^2 A2=1/2pir^2

1/2(121pi) 1/2(16pi)

5.5 2

The area of a composite shape is the sum of the areas of its individual shapes

The area of the composite shape is 215.20 square feet.

From the figures, we have the following shapes

The area (A) of a semicircle is:

[tex]\mathbf{A = \frac{\pi d^2}{8}}[/tex]

So, the area of the composite shape is:

[tex]\mathbf{A = \frac{\pi (d_1^2 + d_2^2)}{8}}[/tex]

This gives

[tex]\mathbf{A = \frac{\pi (22^2 + 8^2)}{8}}[/tex]

[tex]\mathbf{A = \frac{\pi (548)}{8}}[/tex]

[tex]\mathbf{A = 68.5\pi}[/tex]

[tex]\mathbf{A = 215.20}[/tex]

Hence, the area of the composite shape is 215.20 square feet.

Read more about areas at:

https://brainly.com/question/16741417

Answer:

34%

Step-by-step explanation:

99/150 = 0.66

1.00 - 0.66  = 0.34

34%

Answer:There is 48% of cans