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V125BC [204]
1 year ago
6

A survey is taken among customers of a fast-food restaurant to determine preference for hamburger or chicken. Of 200 respondents

selected, 75 were children and 125 were adults. 120 preferred hamburger and 80 preferred chickens. 55 of the children preferred hamburger and 20 preferred chickens. Set up a 2x2 contingency table using this information and answer the following questions:FoodAge Hamburger Chicken TotalChild 55 20 75Adult 65 60 125Total 120 80 200a) What is the probability that a randomly selected individual is an adult?b) What is the probability that a randomly selected individual is a child and prefers chicken?c) Given the person is a child, what is the probability that this child prefers a hamburger?d) Assume we know that a person has ordered chicken, what is the probability that this individual is an adult?
Mathematics
1 answer:
kicyunya [14]1 year ago
3 0

Answer:

                          Hamburger       Chicken

Adults                    65                        60         125

children                 55                        20          75

                             120                        80         200

a)What is the probability that a randomly selected individual is an adult?

Total no. of adults = 125

Total no. of people  200

The probability that a randomly selected individual is an adult = \frac{125}{200}=0.625

b) What is the probability that a randomly selected individual is a child and prefers chicken?

No. of child prefers chicken = 20

The probability that a randomly selected individual is a child and prefers chicken= \frac{20}{200}=0.1

c)Given the person is a child, what is the probability that this child prefers a hamburger?

No. of children prefer hamburger = 55

No. of child = 75

The probability that this child prefers a hamburger= \frac{35}{75}=0.46

d) Assume we know that a person has ordered chicken, what is the probability that this individual is an adult?

No. of adults prefer chicken = 60

No. of total people like chicken = 80

A person has ordered chicken, the probability that this individual is an adult= \frac{60}{80}=0.75

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Andrew [12]

Answer:

Step-by-step explanation:

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"On a coordinate plane, an absolute value graph has a vertex at (2, 1)"  satisfies those requirements.

4 0
1 year ago
A given set of values is found to be a normal distribution with a mean of 140 and a standard deviation of 18.0. Find the value t
Alisiya [41]

Answer:

The value that is greater than 45% of the data values is approximately 137.84.

Step-by-step explanation:

The key is transforming values from this distribution to a z-score range and finding the corresponding value using a z-score table.

We are looking for a value x which attains a critical z-score that corresponds to the (100-45)%=55-th percentile:

z_{0.55} = \frac{x-\mu}{\sigma}=\frac{x-140}{18}\implies x = 18\cdot z_{0.55}+140

The critical z value (from z-score table, online) is: -0.12, so:

x = 18\cdot z_{0.55}+140=18\cdot(-0.12)+140\approx137.84

The value that is greater than 45% of the data values is approximately 137.84.


5 0
2 years ago
Read 2 more answers
Paul is going to have the exterior of his home painted. Painting USA charges $75.00 to come out and evaluate the house plus $25.
murzikaleks [220]
CP - the cost of painting the house for Painting USA company [$]
cP = 75 + 25 * 25 = 75 + 625 = 700 [$]
cU - the cost of painting the house for Upscale Home Painting company [$]
cU = 0 + 40 * 25 = 1000 [$]

cP < cU
The most cost effective is Painting USA company.

n - number of houres required to paint the house if the same cost for both companies
75 + 25 * n = 40 * n
40 n - 25n = 75
15n = 75  /:15
n = 5
The cost of paining the house is the same for both companies if the number of houres required to paint the house is 5.


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2 years ago
Write the equation of the line that passes through the points (7, —4) and (—1 , 3) , first in point -slope form , and then slope
ipn [44]

Answer:

The slope of the line is -7/8

The point slope-form is y+4=(-7/8)(x-7)

The slope-intercept form is y=(-7/8)x+(17/8)

Step-by-step explanation:

You have to find the slope first using m=y2-y1 divided by x2-x1. After you found the slope of the line, you use one of the points to plug it into the point-slope form which is y-y1=m(x-x1). After you have done that, you would have convert this equation into slope-intercept form which is y=mx + b. In order to convert it, you have to multiply m with x and x1. Then you would have to get rid of y1 by doing the opposite of what y1 is. Finally, you would take the opposite of y1 and add it to the other side of the equation.

Really hope this helps! :)

5 0
1 year ago
On a website selling books, three paperback books and five hardcover books cost $80.10, and seven paperback books and four hardc
Lisa [10]
To answer this kind of question, you need to insert the first equation into second equation or vice versa. The equation from the question should be:

1. 3 paperback books +  5 hardcover book = $80.10
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It would be easier to convert the 1st equation into
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Then insert it to 2nd equation:
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Insert paperback book price to the first equation to find the hardcover book price
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hardcover book = $11.25

Then one paperback and one hardcoverbook= $7.95 + $11.25= $19.20 
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1 year ago
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