A study on the latest fad diet claimed that the amounts of weight lost by all people on this diet had a mean of 22.4 pounds and a standard deviation of 5.8 pounds. Step 1 of 2 : If a sampling distribution is created using samples of the amounts of weight lost by 73 people on this diet, what would be the mean of the sampling distribution of sample means? Round to two decimal places, if necessary.

Answers

Answer 1

Answer:

sampling distribution = 22.4

sampling deviation = 0.68

Step-by-step explanation:

Given that :

Mean , μ = 22.4

Standard deviation, σ = 5.8

n = 73

Therefore, the sampling distribution of the mean and the standard deviation is

[tex]$\mu_{\overline x} = 22.4$[/tex]

So, [tex]$\sigma_{\overline x}=\frac{\sigma}{\sqrt n}$[/tex]

            [tex]$=\frac{5.8}{\sqrt {73}}$[/tex]

          = 0.68

So the sampling distribution of the mean is 22.4

The standard deviation is 0.68


Related Questions

Select the formula for the
xth term of the sequence.

screen shot -

Answers

Answer:

Option (3)

Step-by-step explanation:

Given sequence is,

8, -8, 8,...........

Ratio of the 2nd and 1st term = [tex]\frac{-8}{8}[/tex]

                                                = -1

Ratio of 3rd and 2nd term = [tex]\frac{8}{-8}[/tex]

                                           = -1

Therefore, there is a common ratio 'r' = (-1)

And the sequence is a geometric sequence.

Explicit formula for the nth term of a geometric sequence is given by,

[tex]T_n=a(r)^{n-1}[/tex]

Here, 'a' = First term of the sequence

r = Common ratio

n = nth term

For the given sequence xth term of the sequence will be,

[tex]T_x=8(-1)^{x-1}[/tex]

Option (3) will be the answer.

GIVING 43 POINTS AND BRAINLIEST FOR THE FIRST PERSON THAT ANSWERS AND IS CORRECT!!


Translate the following expression




9 more than a number


A. 9r

B. 9 + w

C. 9÷k

D. 9x

Answers

Answer:

Step-by-step explanation:

B

In parallelogram ABCD, the coordinates of A are (3,-1) and the coordinates of C are (-1,5). What are the coordinates of the point of intersection of the diagonals?

Answers

I’m not sure bro ask one of your friends if they know if they don’t just ask your parents

A bicycle has a listed price of $516.99 before tax. If the sales tax rate is 8.75%, find the total cost of the bicycle with sales tax included.
Round your answer to the nearest cent, as necessary. HELP QUICK!

Answers

Answer:

562.23

Step-by-step explanation:

Find the perimeter of the figure. AND I'LL MAKE YOU THE BRAINIEST!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

9514 1404 393

Answer:

  97 cm

Step-by-step explanation:

The perimeter is the sum of the side lengths. Starting from the upper left corner and working clockwise, the side lengths are ...

  10 +3 +33 +15 +33 +3 = 25+2(36) = 97 . . . cm

The perimeter of the figure is 97 cm.

Compared to last month there was a 50% increase in the number of houses sold this month

Answers

Answer:

this is either a random fact or  unfinished question. its probably caused by population increase

Step-by-step explanation:

Urgent please please help It's due soon!

Answers

9514 1404 393

Answer:

money market: $1000stock: $238,500mutual fund: $228,500

Step-by-step explanation:

We can let x and y represent the amounts invested in the stock and mutual fund, respectively. Then the amount invested in the money market account was (468000 -x -y). Two relations can be written.

  x = y + 10000 . . . . . 10,000 more was invested in stock than in mutual funds

  0.035(468000-x-y) +0.04(x) -0.03(y) = 2720 . . . . first-year return

Collecting terms in the second equation gives ...

  0.005x -0.065y +16380 = 2720

  -x + 13y = 2732000 . . . . . . subtract 16380, multiply by -200

  12y -10000 = 2732000 . . . . substitute for x using the first equation

  y = 2742000/12 = 228,500 . . . . solve for y

  x = 228,500 +10,000 = 238,500 . . . . . find x from the first equation

  468,000 -x -y = 468,000 -467,000 = 1,000 . . . . find the money market amount

__

Pierre invested $1000 in the money market account, $238,500 in the stock, and $228,500 in the mutual fund.

b) Suppose you throw two fair dice. What is the probability of getting an even number on the first and a 5 or 6
on the second die?

Answers

Answer:

Most likely 1/2 of a chance to get it and 1/6 of a chance to roll a 5 or 6

You are standing 6 feet away from the stage and your friend is standing 7 feet away from the stage.

Answers

Answer:

Step-by-step explanation:

Yo diría que Messi

Hi please help me with this!

Answers

Answer:

it's a and d

Step-by-step explanation:

a.....................

Find the measure of each interior angle of the shown figure *​

Answers

Step-by-step explanation:

Formula to find interior angles of regular polygon=(n-2)180×n

N= number of sides

in figure sides are 5

So,

(5-2)×180

3×180

540 Answer

Answer:

108°

Step-by-step explanation:

Measure of each interior angle

[tex] = \frac{(n - 2) \times 180 \degree}{n} \\ \\ = \frac{(5 - 2) \times 180 \degree}{5} \\ \\ = \frac{3\times 180 \degree}{5} \\ \\ = \frac{540\degree}{5} \\ \\ = 108 \degree[/tex]

Please help me with this ASAP ASAP please please help

Answers

Answer:

Step-by-step explanation:

Base perimeter = 2 x 2 x π = 4π in

LA = 4π x 5 = 20π in^2

Base area = 2^2 x π = 4π in^2

SA = 2 x 4π + 20π = 28π in^2

V = 4π x 5 = 20π in^3

What are the vertices of angle A’B’C’ if angle ABC is dilated by a scale factor of 2?

Answers

Answer:

The answer is A

Step-by-step explanation:

a=(0,10)×2, b =(8,6)×2 c=(4,2)×2

I'll. ark brainlyest and give a lot of points for answering this right ​

Answers

Answer:

[tex] \displaystyle T'( 2,4)[/tex]

[tex] \displaystyle U'( 1,1)[/tex]

[tex] \displaystyle S' ( 3,2)[/tex]

Step-by-step explanation:

we current vertices of the given triangle

[tex] \displaystyle T( - 2,4)[/tex][tex] \displaystyle U( - 1,1)[/tex][tex] \displaystyle S ( - 3,2)[/tex]

remember that,

[tex] \rm\displaystyle(x,y) \xrightarrow{ \rm reflection \: over \: y - axis}( - x,y)[/tex]

so we obtain:

[tex] \rm\displaystyle \: T( - 2,4) \xrightarrow{ \rm reflection \: over \: y - axis}T'( 2,4)[/tex]

[tex] \rm\displaystyle \: U( - 1,1) \xrightarrow{ \rm reflection \: over \: y - axis}U' ( 1,1)[/tex]

[tex] \rm\displaystyle S( - 3,2) \xrightarrow{ \rm reflection \: over \: y - axis}S'( 3,2)[/tex]

Write the ratio 1.5:9 in simplest form.

Answers

Answer:

1 : 6

Step-by-step explanation:

What are the coordinates of point A?
1.(5,2,0)
2.(5,0,2)
3.(0,2,5)
4.(2,0,5)

Answers

The coordinates of point A are (2, 0, 5).

Then the correct option is the fourth one.

How to get the coordinates of point A?

The general notation for a point on 3 dimensions is (x, y, z).

First, notice that the vertical axis is the Z-axis, the axis that points towards us is the x-axis, the axis that points to the right is the y-axis.

First, we can see that the x-value of A is x = 2.

The z-value of A is z = 5.

And A lies on the plane x_z, then the y-value is y = 0.

Then the coordinates of point A are (2, 0, 5).

So the correct option is 4.

If you want to learn more about points:

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PLEASE HELP !! ILL GIVE BRAINLIEST !!

Answers

Answer:

2&7

6&3

Definition:

angles located at opposite positions between the two lines that are intersected by a transversal.

Step-by-step explanation:

1 and 8, 5 and 4, definition is a pair of angles that lie on the outside of two parallel lines but on either side of the transversal

Find the slope and the y-intercept of the line
y=-2x+8

Answers

Answer:

Slope: -2 and Y-int: 8

Step-by-step explanation:

The slope is -2 and the y intercept is 8. I think this is it I’m a little rusty

Lipids provide much of the dietary energy in the bodies of infants and young children. There is a growing interest in the quality of the dietary lipid supply during infancy as a major determinant of growth, visual and neural development, and long-term health. An article reported the following data on total polyunsaturated fats (%) for infants who were randomized to four different feeding regimens: breast milk, corn-oil-based formula, soy-oil-based formula, or soy-and-marine-oil-based formula. (Use i= 1, 2, 3, and 4 respectively.)
Sample Regimen Sample Size Sample Mean Sample SD
Breast milk 15 42.9 1.3
CO 17 43.1 1.5
SO 8 43.7 1.2
SMO 14 43.9 1.2
What assumptions must be made about the four total polyunsaturated fat distributions before carrying out a single-factor ANOVA to decide whether there are any differences in true average fat content?
a. The distribution of polyunsaturated fat percentages for each of the four regimens must be uniform with equal variances.
b. The distribution of polyunsaturated fat percentages for each of the four regimens must be normal with unequal variances.
c. The distribution of polyunsaturated fat percentages for each of the four regimens must be normal with equal variances.
d. The distribution of polyunsaturated fat percentages for each of the four regimens must be binomial with unequal variances.

Answers

Answer:

c. The distribution of polyunsaturated fat percentages for each of the four regimes must be normal with equal variance's.

Step-by-step explanation:

Single factor ANOVA is used for testing the null hypothesis with same mean of several population. The alternative hypothesis is set against the null hypothesis in order to identify whether the null statement is correct or it will be rejected.

What is the equation of the graph below?​

Answers

Answer:

y = sin(x + 90°)

Step-by-step explanation:

cos 0 = 1

Since the point (0, 1) is on the graph, this graph is y = cos x, but that is not a choice, so this must be the graph of the sine function with a horizontal translation.

sin 0 = 0

sin 90° = 1

The translation is 90°.

Answer: y = sin(x + 90°)

Avery has 6 yards of ribbon. He needs 1/3 yard to make 1 bow.
How many bows can Avery make​

Answers

18 18 18 18 18 18 18 18 18 18

please ????? help mdjshd

Answers

can you answer the question in blue please

-12 + ( ) = 9 whats the missing number

Answers

Answer:

The missing number is 21

Step-by-step explanation:

-12 + x = 9

x = 9 + 12

x = 21

Answer:

21

Step-by-step explanation:

let X = ( )

-12 + X = 9

X = 9 + 12

X = 21

An attic wall is in the shape of a trapezoid. The bases are 12 ft and 25 ft. The area is 185 square feet. What is the height? A = 1/2 h (b + b)

Answers

Answer: b = 2A - B

Step-by-step explanation:

2. A = 2 . 1/2 . h (B + b)

2A = h (B+b)

2A/= h/h . (B+b)

2A/h = B+b

2A - B = B - +b

b = 2A - B

Find the inverse of each function

1. f(x) = 4/(x+2) - 2

2. f(x)= -2x^5 - 3

Answers

9514 1404 393

Answer:

  1. f^-1(x) = 4/(x+2) -2

  2. f^-1(x) = (-(x+3)/2)^(1/5)

Step-by-step explanation:

1. As with all "inverse function" problems, solve for y:

  x = f(y)

  x +2 = 4/(y +2) . . . . add 2

  y +2 = 4/(x +2) . . . . . multiply by (y+2)/(x+2)

  y = 4/(x+2) -2 . . . . . subtract 2

We see that this function is its own inverse. The attached graph shows it is symmetrical about the line y=x.

  f^-1(x) = 4/(x+2) -2

__

2. x = f(y)

  x +3 = -2y^5 . . . . add 3

  -(x +3)/2 = y^5 . . . . . divide by 2

  (-(x +3)/2)^(1/5) = y . . . . take the 5th root

  f^-1(x) = (-(x +3)/2)^(1/5)

In typeset form, that is ...

  [tex]\displaystyle f^{-1}(x)=\sqrt[5]{\frac{-(x+3)}{2}}\\\\\text{or}\\\\f^{-1}(x)=-\frac{1}{2}\sqrt[5]{16x +48}[/tex]

This last version is with the denominator "rationalized" and the contents of the radical "simplified." It may be a preferred form.

_____

The graphs show the function and inverse are symmetrical about the line y=x, as they should be.

Can y’all help me? I would really appreciate it

Answers

Answer:

I think the answer is she

SHE because Leah, get and why are not describing the noun

If you want 100 points plz answer this.

Answers

Answer:

It is assumed we need to find the volume and total surface area

Volume is:

V = Al = 1/2ahl = 1/2*2*1*3 = 3 ft³

Total surface area is:

S = Pl + 2A= (1 + 2 + 2.2)*3 + 2*(1/2*2*1)= 17.6 ft²

Answer:

REEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE

Step-by-step explanation:

6 + 7 ?
EASY ! Your welcome !

Answers

Answer:

the correct answer is 13

Answer:

13.

Step-by-step explanation:

The Smithtown water company uses warm water meters that measure water usage in gallons. They charge $.12 per gallon of water. If Jack's previous meter reading was 45,621 gallons and his present water reading is 48,555 gallons what is the amount of his water bill?

Answers

Subtract to find the number of gallons used:

48,555 - 45621 = 2,934 gallons.

Multiply gallons used by price per gallon:

2,934 x 0.12 = $352.08

A rectangular room is 5 meters longer than it is wide, and its perimeter is 22 meters. Find the dimension of
the room.

Answers

Answer:

The dimension of the room is 8m by 3m

The length and width of the rectangle are 8 meters and 2 meters.

Given,

A rectangular room is 5 meters longer than it is wide.

Perimeter = 22 meters.

We need to find the dimension of the room.

What is the perimeter of a rectangle?

A rectangle perimeter is given by :

P = 2 ( length + wide )

Find the length and width of the rectangle.

Let width = W

Let length = L

L = W + 5

Find the perimeter of the rectangle.

P = 2 ( L + W )

P = 22

22 = 2 ( W + 5 + W )

Divide both sides by 2.

11 = W + 5 + W

11 = 2W + 5

Subtract 5 on both sides.

11 - 5 = 2W + 5 - 5

6 =  2W

Divide both sides by 2.

3 = W

W = 3

We see that W = 2 and L = W + 5 = 3 + 5 = 8.

Thus the length and width of the rectangle are 8 meters and 2 meters.

Learn more about the perimeter of a rectangle here:

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