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likoan [24]
3 years ago
9

Aubrey is selling tickets to a carnival. The function f(x) = 0.5x represents the amount of money in dollars Aubrey earns per tic

ket, where x is the number of tickets she sells. The function g(x) = 4x represents the number of tickets Aubrey sells per hour, where x is the number of hours she works.
Find f(g(x)), and explain its meaning.


f(g(x)) = 2x, which represents the money Aubrey made in dollars per hour

f(g(x)) = 2x, which represents the number of tickets Aubrey sold per hour

f(g(x)) = 8x, which represents the money Aubrey made in dollars per hour

f(g(x)) = 8x, which represents the number of tickets Aubrey sold per hour
Mathematics
2 answers:
ioda3 years ago
8 0

Answer:

Option A.

Step-by-step explanation:

The function f(x) = 0.5x represents the amount of money Aurbrey earns per ticket.

x represents the number of tickets she sold.

Function g(x) = 4x represents the number of tickets Aubrey sells per hour and x represents the number of hours she works.

f[g(x)] = (0.5×4x)

         = (2x)

         = (2x)

Function f[g(x)] represents the money Aurbrey made in dollars per hour.  

Option A. will be the answer.

nignag [31]3 years ago
8 0

Answer:

the answer is A.  (i know it because i took the test and got it right)

Step-by-step explanation:

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Jaylon has 20 math problems for homework. He has completed 60% of the
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Jaylon has completed 12 problems.

Step-by-step explanation:

(This is how I learned it- I'm not sure if you have been taught this way..)
Step 1. Set up a proportion
\frac{60}{100} = \frac{x}{20}
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I hope this helps! :)

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5 0
2 years ago
A certain insecticide kills 60% of all insects in laboratory experiments. A sample of 12 insects is exposed to the insecticide i
Vilka [71]

Answer:

The probability that exactly 10 insects will die

                     P( X = 10 ) = 0.06385        

Step-by-step explanation:

<u><em>Step(i):-</em></u>

Given a certain insecticide kills 60% of all insects in laboratory experiments

Given proportion  p = 0.60

                           q = 1 - 0.60 = 0.40

Given sample size 'n' = 12

<u><em>Step(ii):</em></u>-

Let "X' be the random variable of binomial distribution

                              P(X=r) = n_{C_{r} } p^{r} q^{n-r}

The probability that exactly 10 insects will die

                              P(X=10) = 12_{C_{10} } (0.60)^{10} (0.40)^{12-10}

                           

                          n_{C_{r} } = \frac{n!}{(n-r)!r!} = \frac{12!}{(12-10)!10!} = 66

                          P(X=10) = 66 X (0.60)^{10} (0.40)^{2} = 0.06385

<u><em>Final answer:</em></u>-

The probability that exactly 10 insects will die

                     P( X = 10 ) = 0.06385        

4 0
2 years ago
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