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vredina [299]
3 years ago
13

A campus program evenly enrolls undergraduate and graduate students. if a random sample of 4 students is selected from the progr

am to be interviewed about the introduction of a new fast food outlet on the ground floor of the campus building, what is the probability that all 4 students selected are undergraduate students?
Mathematics
1 answer:
agasfer [191]3 years ago
5 0
6.25%

This can be found given that there is a 50% chance on every selection. When multiplied together 4 times, you are given the answer above. 
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Answer:

Area = 3

Step-by-step explanation:

Given

D = (-4,-4)

E = (-2,-4)

F = (-3,-1)

Solving (a) and (b):

See attachment for plot and labelled vertices

Solving (c): The area

This is calculated using:

Area = \frac{1}{2}|x_1y_2 - x_2y_1 + x_2y_3 - x_3y_2+x_3y_1 - x_1y_3|

Where:

D = (-4,-4) -- (x_1,y_1)

E = (-2,-4)  -- (x_2,y_2)

F = (-3,-1) -- (x_3,y_3)

This gives:

Area = \frac{1}{2}|(-4*-4) - (-4*-2) + (-2 *-1) - (-3*-4)+(-3*-4) - (-4*-1)|

Area = \frac{1}{2}|16 - 8 +2- 12+12 - 4|

Area = \frac{1}{2}|6|

This gives

Area = \frac{1}{2} * 6

Area = 3

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Answer:

Step-by-step explanation:

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