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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40 Points answer fast
I will mark brainliest answer quickly
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A: 4 and 1 over 3 cubic feet

B: 4 and 2 over 5 cubic feet

C: 8 and 1 over 4 cubic feet

D: 8 and 2 over 5 cubic feet

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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.

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The minute hand of a clock is 4 inches long. How far does the tip of the minute hand move in 35 minutes? If necessary, round the answer to two decimal places.

Answers

Answer:

14.66 inches

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)

Hence, the tip of the minute hand

distance will be calculated using this formula

Circumference of a circle=2*π*Radius* Clock Tip hand movement/Number of minutes per hour

Let plug in the formula

Circumference of a circle==2*π*4 inches*35 minutes/60 minutes

Circumference of a circle= =2*π*4 inches*0.58333

Circumference of a circle==14.659 inches

Circumference of a circle==14.66 inches (Approximately)

Therefore How far does the tip of the minute hand move in 35 minutes will be 14.58 inches

ILL GIVE YOU BRAINLIEST IF YOU HELP ME​

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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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:

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Please gimme brainliest

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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

x = 6

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Answers

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Step-by-step explanation:

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D.

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Step-by-step explanation:

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Answers

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Hey mate 1.5miles per hour is your Answer

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

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