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vodka [1.7K]
3 years ago
15

A club with five members will randomly select the president and vice president. Each possible pair will be assigned an equal por

tion of the interval from 0 to 1. Then a random number generator producing numbers in this interval will determine the outcome. Into how many parts should the interval be divided?
A. 9
B. 10
C. 20
D. 25
Mathematics
2 answers:
madam [21]3 years ago
4 0

Answer:

C. 20

Step-by-step explanation:

There are 5 possible candidates for president.

After the president is selected, there are 4 remaining possible candidates for vice president.

Therefore, the number of permutations is 4 × 5 = 20.

Tju [1.3M]3 years ago
3 0

Answer:

C. 20

Step-by-step explanation:

The order in which the members are selected is important. The first one selected is the president and the second is the vice president.

So we use the permutations formula to solve this question.

Permutations formula:

The number of possible permutations of x elements from a set of n elements is given by the following formula:

P_{(n,x)} = \frac{n!}{(n-x)!}

In this problem:

2 people are going to be chosen from a set of 5. So

P_{(5,2)} = \frac{5!}{(5-2)!} = 20

So the correct answer is:

C. 20

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Step-by-step explanation:

We know that tan=sin/cos, so tan(x+π/2)=

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3 years ago
What is the equation of the line that passes through the point (4,-7) and has a
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Answer:

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Step-by-step explanation:

7 0
3 years ago
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6 0
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Read 2 more answers
Identify the constant of proportionality for each direct variation below.
andriy [413]

Answer:

see explanation

Step-by-step explanation:

The equation of 2 quantities in direct proportion is

y = kx ← k is the constant of proportionality

1

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2

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y = 2x ← in standard form

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x = 3y ( divide both sides by 3 )

\frac{1}{3} x = y ← in standard form

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2 years ago
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bezimeni [28]

Answer:

Daniel (now) is 3 years old,  (2 years ago) is 1 year old.

Kevin (now) is 6 years old,   (2 years ago) is 4 years old.

Step-by-step explanation:

Now:

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-Daniel: d

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d = 3

k = d + 3 = 3 + 3 = 6

8 0
3 years ago
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