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Goshia [24]
3 years ago
15

Which of the following is a true statement about functions ?

Mathematics
1 answer:
Alina [70]3 years ago
6 0

Answer:

D. If f and g are functions then;

(f\bullet g)(x) =f(x)\bullet g(x).

Step-by-step explanation:

The first option is not correct because composition of two functions is not commutative.

The second and third choice will also not yield the same result.

Let

f(x)=x^2 and g(x)=2x.

Then;

(f\bullet g)(x)=2x^3 and f(x)\bullet g(x)=2x^3.

The correct answer is option D.

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A musician kept track of the concert arenas on this year's tour and found that 60% of the arenas were sold out. Of those that we
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Answer:

6%

Step-by-step explanation:

First, let's break this down:

60% of arenas sold out

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Out of those arenas that did NOT sell out

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We want to know the joint relative frequency of area that were sold out AND NOT on the previous tour schedule, therefore all the information about areas that did NOT sell out is irrelevant.

Because 90% of the areas that were sold out had been on the previous tour, 10% had NOT been on the previous tour.

Therefore, considering all the arenas, 10% of 60% of the arenas were sold out and not on the previous tour.

Let <em>x</em> equal the total number of arenas:

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Convert to percent

6%

Therefore, the joint relative frequency of sold out arenas that were not on the previous tour is 6%.

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