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Vsevolod [243]
3 years ago
8

There are 5 swimmers in a race. There will be a first-place, a second-place, and a third-place prize awarded. In how many differ

ent ways can the 3 prizes be awarded?
Mathematics
1 answer:
raketka [301]3 years ago
3 0

Answer:

Step-by-step explanation:

This is a permutation problem.  There are 5 swimmers in the race, and any combination of 3 will finish in the first 3 places.  The formula will look like this:

₅P₃ = \frac{5!}{(5-3)!}  which will expand to

₅P₃ = \frac{5*4*3*2*1}{2*1}  and when the 2 * 1 cancels out between the numerator and the denominator, you're left with simply:

₅P₃ = 5 * 4 * 3

which is 60

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Is 152 points in 8 games<br> 171 points in 9 games equivalent
max2010maxim [7]

Answer:

Yes, they are equivalent.

3 0
3 years ago
What is the equation of the line that goes through (−1, −1) and is parallel to y = 6x − 1?
Alexandra [31]
Y-y1 = m(x-x1)
y-(-1) = 6 (x- -1)

answer: y = 6x-5
5 0
2 years ago
Identify square root of 3 as either rational or irrational, and approximate to the tenths place.
dmitriy555 [2]

Answer:

It is an irrational number, \sqrt{3} as a decimal rounded to the tenth place is 1.7

Step-by-step explanation:

All square roots are irrational numbers

3 0
3 years ago
Read 2 more answers
Bill worked 24 hours last week and earns $8.25 per hour. what is the total amount of money he earned
11Alexandr11 [23.1K]

Answer:

198

You times 8.25 by 34 which would come out as 198

3 0
2 years ago
Somebody help me please because i’m stuck
worty [1.4K]

The question is asking for you to plug in each number in the brackets into x and solve for y, or f(x), g(x), etc. I will do no. 19 as an example:

f(x) = -3x + 1

This problem has the domains -2, -1, and 0. First, we'll start with -2:

f(x) = -3(-2) + 1

f(x) = 6 + 1

f(x) = 7

Now -1:

f(x) = -3(-1) + 1

f(x) = 3 + 1

f(x) = 4

Lastly, 0:

f(x) = -3(0) + 1

f(x) = 0 + 1

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For question 23, we can use the distance formula, which is ratextime. The domain in this case is time (t). You can set up a function like this: d(t) = 60t

8 0
3 years ago
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