Write -76.62 as a mixed number

Answer:

A. The sampling distribution follows a normal distribution

B. With 90% confidence the mean number of names that all people can remember when introduced to 40 people at a party is between 17.04 and 19.28

C. If many groups of 55 randomly selected people were surveyed, then a different confidence interval would be produced for each group. About 90 percent of these confidence intervals will contain the true population mean number of names remembered and about 10 percent will not contain the true population mean number of names remembered  

Step-by-step explanation:

The given parameters are;

The known population standard deviation of the number of names that people can recall after being introduced to 40 people in a party, σ = 6.34 names

The number of people randomly selected in the survey, n = 55 people

The average number of names correctly remembered, [tex]\overline x_1[/tex] = 18.16

The standard deviation of the group surveyed, s = 4.28

A. Based on the Central Limit Theorem CLT, the sampling distribution follows a normal distribution

B. The 90% confidence interval is given as follows;

[tex]C.I.=\bar{x}\pm z_{\alpha /2}\cdot \dfrac{\sigma}{\sqrt{n}}[/tex]

Where [tex]z_{\alpha /2}[/tex] at 90% = 1.65, we have;

[tex]C.I.=18.16\pm 1.65 \times \dfrac{4.28}{\sqrt{55}}[/tex]

C.I. ≈ 17.20 < μ < 19.11

With 90% confidence the mean number of names that all people can remember when introduced to 40 people at a party is between 17.04 and 19.28

C. The 90% confidence interval gives the certainty that if different groups of 55 randomly selected people were surveyed, then about 90 percent of the confidence intervals will contain the true population mean number of names remembered and about 10 percent will not contain the true population mean number of names remembered.

Answer:

A fair trial.

Answer:

Step-by-step explanation: a search without good reason

Answer:

x is 15

Step-by-step explanation:

b is 75 hope this helps you

Answer:

AD= square root of 221

:)

Step-by-step explanation:

Answer:

The answer is 3.74519230769

Rational Numbers: Any number that can be written in fraction form is a rational number. This includes integers, terminating decimals, and repeating decimals as well as fractions. An integer can be written as a fraction simply by giving it a denominator of one, so any integer is a rational number.

Hope this helps!

Answer:

The most important school subject for kids to learn is English. I think it is most important because your improving your fluency in speaking, polishing your writing skills. and also targeting specific skills you need for a particular social envionment.

when taking an english class you Improve your grammer. you are improving it by learning new words and nowing how to pernounce them.

you are polishing your writing skills by having to write essays,summarizes, and other sorts of writing. you also learn all of the elements of writing. learning that is important.

so taking an english class is really important. taking an english class improves alot of different things. it can even help you if you wanted to become a writer.

Step-by-step explanation:

Given 5x + 8 = 118 (vertically opposite angles)

[tex]5x + 8 = 118 \\ 5x = 118 - 8 \\ 5x = 110 \\ x = 110 \div 5 \\ = 22[/tex]

Answer:

The slope is -2

Step-by-step explanation:

Hi there!

We are given the points (-4, 6) and (3, -8)

We want to find the slope (m) of the line that passes through these points

We can use the formula [tex]\frac{y_2-y_1}{x_2-x_1}[/tex] to calculate the slope, where [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] are points

We have everything we need to find the slope, but let's label the values of the points to avoid confusion and mistakes.

[tex]x_1=-4\\y_1=6\\x_2=3\\y_2=-8[/tex]

Now substitute into the formula

m=[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

m=[tex]\frac{-8-6}{3--4}[/tex]

Simplify:

m=[tex]\frac{-8-6}{3+4}[/tex]

m=[tex]\frac{-14}{7}[/tex]

Divide

m = -2

The slope of the line is -2

Hope this helps!

See more on calculating slope from 2 points here:  https://brainly.com/question/26738734

Answer:

-2

Step-by-step explanation:

Substitute 3 for m: (3)2 - 5(3) + 7

Simplify: 6 - 15 + 7

Follow PEMDAS and subtract 6 from 15: -9 + 7

Add: -2

Hope this helps ^-^

You said m = 3.

Replace every m you see with 3.

m^2 - 5m + 7

(3)^2 -5(3) + 7

9 - 15 + 7

-6 + 7 = 1

Answer is 1.

Answer:

Blue: 2/8

Red or Yellow: 3/8

Not Brown: 8/8

Not Green: 5/8

Number Five: 20%

Step-by-step explanation:

First Four Questions: See how many parts the spinner is in then count the number of colors its asking or not asking for and put that number over the total amount of parts

Question Five: If it shows up on time 80 percent of the time then the other 20 percent of the time they were late so there is a 20 percent chance of that happening again.

Answer:

x = 64

Step-by-step explanation:

2x = 128

x = 64

Answer:

hi

Step-by-step explanation:

i think so

128⁰+2x⁰=180⁰

2x⁰=180⁰-128⁰

2x⁰=52⁰

x=52/2

x=26⁰

hope it helps

have a nice day

Answer:

Step-by-step explanation:

Answer: 62

Step-by-step explanation: In the red empty spot, the #5 would go there and in the blue spot the #6 would go there. 8x2=16 and 16+16= 32: t=This is for the to rectangle shapes on both sides. Now for the square in the middle, since the red spot is 5 and the blue is 6, 5x6= 30. So, 30+32=62.

Answer:

Hi! The answer to your question is A. 4 hours

Step-by-step explanation:

☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆

☆Brainliest is greatly appreciated!☆

Hope this helps!!

- Brooklynn Deka

Answer:

4

Step-by-step explanation:                                    

I got it wrong at first but someone corrected me ;n;

Answer:

49

Step-by-step explanation:

Answer:

1 ounce is 0.05

Step-by-step explanation:

Answer:

Answer 2 would be true.

Step-by-step explanation:

Because our ratio is 2:5 (or 2 to 5 for easier understanding) we know that every 2 cups we use of lemonade, we pair with 5 cups of tea.

Answer:

The answer is B

Step-by-step explanation:

For every 2 cups of lemonade, there are 5 cups of iced tea.

Answer:

Do you have answer choices. guess

Step-by-step explanation:

Answer:

8 is the height

Step-by-step explanation:

please mark this answer as brainlest

A=b h................

Answer:

A = 20

Step-by-step explanation:

A = bh

b = 4

h = 5

4 × 5 = 20

Answer:

A. 20ft

Step-by-step explanation:

Answer:

d. 98.5

Step-by-step explanation:

Triangles:

5 x 4 = 20/2 = 10

Circle:

5² x 3.14 = 78.5

Add both of them 98.5

Answer: B

Step-by-step explanation:

20x-13x-6+19

=7x+13

If you mea. 1 . -28 - 20 then the answer is going to be

[tex]1. - 48[/tex]

but if you mean -28 -20 the the answer is going to be

[tex] - 48[/tex]