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Margarita [4]
2 years ago
9

A manager receives 8 applications for a specific position. She wants to narrow it down to 5. In how many ways can she rank 5 app

lications?
Mathematics
1 answer:
nata0808 [166]2 years ago
7 0

Answer:

56 number of ways

Step-by-step explanation:

This question is a combination question since it involves selection.

Generally, if r objects are to be selected from n pool of objects, this can be done in nCr number of ways.

nCr = n!/(n-r)!r!

If a manager receives 8 applications for a specific position and wants to narrow it down to 5, the number of ways he can do this is 8C5

8C5 = 8!/(8-5)!5!

= 8!/3!5!

= 8*7*6*5!/3*2*5!

= 8*7*6/3*2

= 8*7

= 56 number of ways.

This means that the manager can rank 5 applications in 56 number of ways

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Tcecarenko [31]

Answer:

The number of strawberry baskets sold was 44

Step-by-step explanation:

Let

x ----> the number of strawberry baskets sold

y ---> the number of raspberries baskets sold

we know that

In one morning, Katya sells 96 baskets for $644

so

x+y=96 ----> equation A

4x+9y=644 ---> equation B

Solve the system by graphing

Remember that the solution is the intersection point both graphs

using a graphing tool

The solution is the point (44.52)

see the attached figure

therefore

The number of strawberry baskets sold was 44 and the number of raspberries baskets sold was 52

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2 years ago
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From the graph, the domain is 0 ≤ x ≤ 30
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ICE Princess25 [194]

Answer:

x = 6 ; Rewritten: 2x-3y-12=0 ; y=-4

Step-by-step explanation:

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x=6 ( that's the function)

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Y Intercept :

2x-3y=12 and to find y intercept, sub x = 0 ; to 2 multiply 0 -3y=12 and then you solve for the equation which is your answer.

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Use the Pythagorean Theorem to solve for hypotenuse.

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