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Dmitrij [34]
2 years ago
13

For f(x)=3x+2 and g(x)=x^2-6, find (f o g)(4)

Mathematics
1 answer:
agasfer [191]2 years ago
7 0

Answer:

32

Step-by-step explanation:

Evaluate g(4), then substitute the value obtained into f(x) , that is

g(4) = 4² - 6 = 16 - 6 = 10, then

f(10) = 3(10) + 2 = 30 + 2 = 32

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The college hiking club is having a fund raiser to buy new equipment for fall and winter outings. The club is selling Chinese fo
PolarNik [594]

Answer:

a)

- the probability she will win the dinner for two is 0.016

- the probability she will not win the dinner for two is 0.984

b)

- Lisa's expected earnings is $0.57

- Money she effectively contributed to the hiking club is $11.43

Step-by-step explanation:

Given the data in the question;

fortune cookies; $1 per cookies

club sold 743

a) Lisa bought 12 cookies. What is the probability she will win the dinner for two?

P( she will win ) = Number of cookies bought / Total number of cookies

P( she will win ) = 12 / 743

P( she will win ) = 0.01615 ≈ 0.016

Therefore,  the probability she will win the dinner for two is 0.016

P( she will not win ) = 1 - P( she will win )

P( she will not win ) = 1 - 0.016

P( she will not win ) = 0.984

Therefore,  the probability she will not win the dinner for two is 0.984

b)  Lisa's expected earnings can be found by multiplying the value of the dinner by the probability that she will win. What are Lisa's expected earnings? (Round your answer to two decimal places.)$

given that value of dinner = $35

P( she will win ) = 0.01615

so

Lisa's earning = $35 × 0.01615

Lisa's earning = $0.57

Therefore, Lisa's expected earnings is $0.57

- How much did she effectively contribute to the hiking club? (Round your answer to two decimal places.)$

Lisa's contribution = Money she paid for cookies - money from expected earnings

Lisa's contribution = ( 12 × $1 ) -  $ 0.57

Lisa's contribution = $12 -  $0.57

Lisa's contribution = $11.43

Therefore, Money she effectively contributed to the hiking club is $11.43

4 0
2 years ago
3/8 x (1 - 1/3) (don’t answer the equation write the equation in word form)
stellarik [79]

Answer:

three-eighths multiplied by the difference of one and one-third.

Step-by-step explanation:

Convert equation to words

3/8 = three-eighths

x = multiplied

1 - 1/3 = difference of one and 1/3

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

8 0
2 years ago
Express each of these numbers as a product of two fractions: 1
Murrr4er [49]
Your question is incomplete.
5 0
3 years ago
You bike 11.2 miles in 1.4 hours at a steady rate. What equation represents the proportional relationship between the x hour you
Elis [28]

Answer:

\frac{x}{y}=8

Step-by-step explanation:

Let the time for which i bike is = x hours

Let the distance traveled in x hours = y miles

Ratio of distance and time will be = x : y

I travel 11.2 miles in 1.4 hours then the ratio of time and the distance traveled will be 1.4 : 11.2 Or 14 : 112

then the ratio of distance and time will be same in both the cases

So equation will be

\frac{x}{y}=\frac{14}{112}

\frac{x}{y}=8

Therefore, equation representing the proportional relationship will be

\frac{x}{y}=8

5 0
3 years ago
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