The average amount of money spent for lunch per person in the college cafeteria is $6.35 and the standard deviation is $2.31. Suppose that 41 randomly selected lunch patrons are observed. Assume the distribution of money spent is normal, and round all answers to 4 decimal places where possible.
What is the distribution of X?X ~ N(,)
What is the distribution of x¯? x¯ ~ N(,)
For a single randomly selected lunch patron, find the probability that this patron's lunch cost is between $6.1605 and $6.757.
For the group of 17 patrons, find the probability that the average lunch cost is between $6.1605 and $6.757.

Answers

Answer 1

Answer:

(6.35, 5.34)

(6.35, 0.99)

0.10253

0.3984

Step-by-step explanation:

Given that :

μ = 6.35

σ = 2.31

n = 41

What is the distribution of X?X ~ N(,)

X :

Mean of distribution = μ= 6.35

The variance = σ^2 = 2.31^2 = 5.3361 = 5.34

X ~ N = (6.35, 5.34)

What is the distribution of x¯? x¯ ~ N(,)

The mean = μ = 6.35

The standard deviation of the mean = σ/sqrt(n) = 6.35/sqrt(41) = 0.9917 = 0.99

X ~N = (6.35, 0.99)

find the probability that this patron's lunch cost is between $6.1605 and $6.757.

P(6.1605 < x < 6.757)

Obtain the standardized scores:

Z = (x - μ) / σ ; (6.1605 - 6.35) / 2.31 = - 0.082

P(Z < - 0.082) = 0.46732 (Z probability calculator)

(6.757 - 6.35) / 2.31 = 0.176

P(Z < 0.176) = 0.56985 (Z probability calculator)

P(Z < 0.176) -P(Z < - 0.082)

0.56985 - 0.46732 = 0.10253

For the group of 17 patrons, find the probability that the average lunch cost is between $6.1605 and $6.757.

P(6.1605 < x < 6.757) ; n = 17

Obtain the standardized scores:

Z = (x - μ) / σ/sqrt(n) ; (6.1605 - 6.35) / 2.31/sqrt(17) = - 0.338

P(Z < - 0.338) = 0.36768 (Z probability calculator)

(6.757 - 6.35) / 2.31/sqrt(17) = 0.726

P(Z < 0.726) = 0.76608 (Z probability calculator)

P(Z < 0.726) -P(Z < - 0.338)

0.76608 - 0.36768 = 0.3984

Answer 2

Answer:

he did a good job

Step-by-step explanation:


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Answer:

2 is not a function.

3 is a function

Step-by-step explanation:

one x value should each have a line leading off it. there are 2 y values for one x values in question 2 so its not a function

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Step-by-step explanation:

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A is the answer :)

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Answers

Format: y = mx + b
m = slope, b = y intercept
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••••••••••••••••••••••••••••••

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Answer:

D. 7

Step-by-step explanation:

substitute -1 everywhere there is an x

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Find the value of x. Everything is in the photo.

Answers

Answer:

27

Step-by-step explanation:

Note that since VX and XZ are both line segments, <VWX and <XYZ both equal 180 (also known as a straight angle). Also, note that the sum of the angles in a triangle are 180 degrees. Now, let’s start.

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if I have a 15 gallon tank what percentage is in tank if it only takes 12 gallons to fill it​

Answers

Step-by-step explanation:

12/15 * (100%)

= 4/5 * (100%)

= 4 * 20%

= 80%

Please gimme brainliest

The correct answer is that 12 is 80% of 15 gallons.

Find the perimeter of the large triangle

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Answeeeeeeeeeeerrrrrrrrrrrrrrr:

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a) What are the coordinates of A?
b) What are the coordinates of B?

Answers

Answer:

A (-2.5, -1.5)

B (4.5, -3.5)

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Answers

Answer:

y = (1/2) x - 2

Step-by-step explanation:

Let us consider the points (- 2, - 3) & (0, - 2)

Equation of line in two point form is given as:

[y-(-3)]/[-3-(-2)] = [x - (-2)]/[-2 - 0]

(y + 3)/(-3 +2) = (x + 2)/ (-2)

(y + 3)/(-1) = (x + 2)/(-2)

(y + 3)/(1) = (x + 2)/(2)

2(y + 3) = (x + 2)

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y = (1/2) x - 2

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Which equation could generate the curve in a graph below?

Answers

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Haylee swam for 1 and 1/2 hours on Saturday and 1 and 2/3 hours on Sunday. How many hours did she swim in all?

Answers

Answer:

She swam for 3 hours 10 minutes

please answer it fast​

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Answer:

c

Step-by-step explanation:

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the questions on a multiple-choice test each have 4 answer choices. Describe a model that you could use to simulate the outcome of guessing the correct answer to a 100 questioned test

Answers

Answer:

2

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LAST ONE !!! Ok here

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Answer:

Market economy

Step-by-step explanation:

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Answers

Answer:

9 Hours

Step-by-step explanation:

If it is increased by 5 km that would make it 50. But, let's go back to the 45 to find out how many km we are traveling. If we are doing 45 km per hour then you just multiply the 10 by 45 and get 450 km. Now that we have that, if the new speed is 50 km per hour, all we need to do is 450 divided by 50, which will get you 9.

Yea other buddy is right and very smart

Mariah walks 6miles per hour. Bobby walks 4,400 yards in in a half-hour. Given that 1 mile = 1,760 yards, how much faster does Mariah walk than Bobby?

Answers

[tex]\huge\mathbb\purple{AnSwEr}[/tex]

[tex]\huge❤\bold\red{Hello}❤[/tex]

Hey mate 1.5miles per hour is your Answer

[tex]My \: pleasure \: to \: help \: you \: anytime.[/tex]

[tex]Mark \: me \: as \: brainliest .[/tex]

[tex] \huge \mathscr \pink \star\underline {Follow \: me } \red \star[/tex]

A group of friends wants to go to the amusement park. They have $79.50 to spend on parking and admission. Parking is $19.50, and tickets cost $10 per person, including tax. Write and solve an equation which can be used to determine x, the number of people who can go to the amusement park.

Answers

Answer:

x = 6. six friends can go.

Step-by-step explanation:

79.50 - 19.50 = 60.00

60/10 = 6 people

The number of people that can go to the amusement park is six.

The information in the question can be represented with this equation:

Total amount the friends have = cost of parking + (cost of ticket x number of friends)

$79.50 = $19.50 + $10 × x

$79.50 = $19.50 + $10x

The equation that would be used to solve for the number of friends that can go to the amusement park, the equation that would be used is: $79.50 = $19.50 + $10x

Combine similar terms

$79.50 - $19.50 =  $10x

$60 = $10x

Divide both sides of the equation by 10

$60 / $10 = x

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A similar question was answered here: https://brainly.com/question/20471133?referrer=searchResults

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Answers

Answer:

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Step-by-step explanation:

Calculation for How far does the tip of the minute hand move in 35 minutes

The tip of a minute hand will always travels at 360 degrees in an hour ( 60 minutes)

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Answers

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Answers

Answer:

Step-by-step explanation:

(3x + 4) (x - 8)

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Plato answer

help please I'm in a timed test
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Answers

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it's A

Step-by-step explanation:

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Answers

Answer:

D.

Step-by-step explanation:

Answer to this question is D. Subtract both points will give you the difference.

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Step-by-step explanation:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

Let's solve your equation step-by-step.

x2+13x+12=0

Step 1: Factor left side of equation.

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Step 2: Set factors equal to 0.

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Answer:

Solution

=

1

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1

2

Step-by-step explanation:

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D: 8 and 2 over 5 cubic feet

Answers

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c

Step-by-step explanation:

hope it helps

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Answers

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Answers

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