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zhenek [66]
3 years ago
13

A college committee consists of 3 freshmen, 4 sophomores, 5 juniors, and 2 seniors. A subcommittee of 4 consisting of 1 person f

rom each class is to be chosen. How many different subcommittees are possible?
Mathematics
1 answer:
dezoksy [38]3 years ago
5 0

Answer:

120

Step-by-step explanation:

The subcommittee needs to contain 1 out of 3 freshmen, 1 out of 4 sophomores, 1 out of 5 juniors and 1 out of 2 seniors. Assuming order is not important, the number of possibilities to pick the subcommittee members is given by:

N=5*4*3*2=120

There are 120 possible subcommittees.

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Determine whether the statement is always, sometimes, or never true. Lines AB, CD, and EF determine plan P. If GH intersects AB,
Aleks [24]
<h3>Answer:  sometimes true</h3>

=======================================================

Explanation:

The plane P can be thought of a perfectly flat ground. Now imagine a flag pole which represents line GH. If AB is drawn in chalk on the pavement, and this line AB intersects the base of the flagpole, then we've made AB and GH intersect. However, this example shows that GH is <u>not</u> on the plane P.

Is it possible to have GH be in the the plane? Yes. We could easily draw another chalk line on the ground to have it intersect AB somewhere. But as the previous paragraph says, it's also possible that GH is not in the plane.

Therefore, the statement is sometimes true

4 0
3 years ago
PLEASE HELP!
Vladimir79 [104]

Answer:

1) 4

2)I think 2

3)4

4)3

5)2

6)1

7)3

Step-by-step explanation:

1) since the x is to squared it is a quadratic equation

3) A and D have same slope=0.5

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3 0
2 years ago
A square has a side length of 5x and a perimeter of 60.<br> What is the value of x?
kozerog [31]

Answer:

x=3

Step-by-step explanation:

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7 0
3 years ago
Divide 405 in the ratio 4:11​
Mariulka [41]

Step-by-step explanation:

Answer is in the photo

Hope it helllps

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4 0
3 years ago
Write the expression as a square of a binomial: 49x^2+12xy+64y^2
DiKsa [7]
STEP
1
:
Equation at the end of step 1

((49 • (x2)) + 12xy) + 26y2
STEP
2
:

Equation at the end of step
2
:

(72x2 + 12xy) + 26y2
STEP
3
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Trying to factor a multi variable polynomial

3.1 Factoring 49x2 + 12xy + 64y2

Try to factor this multi-variable trinomial using trial and error

Factorization fails

Final result :
49x2 + 12xy + 64y2
5 0
2 years ago
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