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Triss [41]
3 years ago
12

A teacher student committee consisting of 4 people is to be formed from 5 teachers and 20 students. Find the probability that th

e committee will consist of at least one student.​
Mathematics
1 answer:
antiseptic1488 [7]3 years ago
5 0

Answer:

99.96%

Step-by-step explanation:

Given the information:

  • 5 teachers
  • 20 students
  • 4 people in committee

=> the are 25 people in total

Hence, the total possible outcomes of all the members in the 4 committee:

C^{4} _{25}  = 12650

They want us to find the probability that the committee will consist of at least one student, which means that

=(Total possible outcome - committee with no student) / Total possible outcomes

So we need to find the possible outcomes of committee with no student:

= C^{4} _{5}  =5

=> the probability that the committee will consist of at least one student.

= (12650 - 5) / 12650

= 0.9996

= 99.96%

Hope it will find you well.

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soldi70 [24.7K]

Answer:

The perpendicular line would be y = -2x - 4

Step-by-step explanation:

First we must solve the original equation for y.

x - 2y = 7

-2y = -x + 7

y = 1/2x - 7/2

In order to find the equation of this line, we first have to note that perpendicular lines have opposite and reciprocal slopes. Therefore, since the original line has a slope of 1/2, we know the new line will have a slope of -2. Now we can use that information along with the given point in point-slope form to find the equation.

y - y1 = m(x - x1)

y - 2 = -2(x + 3)

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3 years ago
Question 10 (5 points)
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2. A lunch stand makes s.75 profit on each chef's salad and $1.20 profit on each Caesar salad. On a typical weekday, it sells be
kow [346]

Let's let

<u>x = the number of chef salads, x>=0</u>

<u>y = the number of Caesar salads, y>=0</u>

The constrains are:

40 <= x <= 60

35 <= y <= 50

x + y <= 100

The objective function here is F(x, y) = 0.75x + 1.20y

The corner points are (40, 35),  (60, 35), (60, 40), (50, 50) and (40, 50).

F (40, 35) = 0.75*40 + 1.20*35 = $72

F (60, 35) = 0.70*60 + 1.20*35 = $84

F (60, 40) = 0.75*60 + 1.20*40 = $93

F (50, 50) = 0.75*50 + 1.20*50 = $97.50

F (40, 50) = 0.75*40 + 1.20*50 = $90

Thus, we conclude to maximize the profit 50 Chef and 50 Caesar salads should be prepared.

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Arnold bought 19 gallons of milk...
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YASSSS! GO ARNOLD!!!!!
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Answer:

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I hope it's helps you

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