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Zielflug [23.3K]
3 years ago
10

Evaluate each expression using the values in the given table. x minus−3 minus−2 minus−1 0 1 2 3 ​f(x) minus−9 minus−7 minus−5 mi

nus−3 minus−1 1 3 ​g(x) 3 2 1 0 minus−1 minus−2 minus−3 ​(a) ​(fcircle◦​g)(negative 1−1​) ​ (b) ​(gcircle◦​f)(11​) ​ (c) ​(fcircle◦​f)(11​)
Mathematics
1 answer:
Ymorist [56]3 years ago
6 0
A) (f∘g)(-1) = f(g(-1)) = f(1) = -1
b) (g∘f)(1) = g(f(1)) = g(-1) = 1
c) (f∘f)(1) = f(f(1)) = f(-1) = -5
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Zeke had 9 dvds. His mother bought d more DVD. Write an expression that shows how many dvds zeke has now
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Answer: 9+d=x or x=9+d

d-the new dvds

x-the unknown total

9-the dvds Zeke owned before

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Community gym charges a $50 membership fee ad a $55 monthly fee.
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55+ 50 would be 105 don’t forget the dollar sign when answering
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The national average sat score (for verbal and math) is 1028. if we assume a normal distribution with standard deviation 92, wha
elena55 [62]

Let X be the national sat score. X follows normal distribution with mean μ =1028, standard deviation σ = 92

The 90th percentile score is nothing but the x value for which area below x is 90%.

To find 90th percentile we will find find z score such that probability below z is 0.9

P(Z <z) = 0.9

Using excel function to find z score corresponding to probability 0.9 is

z = NORM.S.INV(0.9) = 1.28

z =1.28

Now convert z score into x value using the formula

x = z *σ + μ

x = 1.28 * 92 + 1028

x = 1145.76

The 90th percentile score value is 1145.76

The probability that randomly selected score exceeds 1200 is

P(X > 1200)

Z score corresponding to x=1200 is

z = \frac{x - mean}{standard deviation}

z = \frac{1200-1028}{92}

z = 1.8695 ~ 1.87

P(Z > 1.87 ) = 1 - P(Z < 1.87)

Using z-score table to find probability z < 1.87

P(Z < 1.87) = 0.9693

P(Z > 1.87) = 1 - 0.9693

P(Z > 1.87) = 0.0307

The probability that a randomly selected score exceeds 1200 is 0.0307

5 0
3 years ago
Suppose you have $50, how much change would you receive if you bought a DVD that cost $27.99?
____ [38]

Answer:

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Step-by-step explanation:

4 0
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A store manager predicts that 115 hats will be sold if each hat costs $18. The manager predicts that 3 less hats will be sold fo
8_murik_8 [283]

Answer:

The prices at which manager predict that at least 55 hats will be sold would be would be of $38

Step-by-step explanation:

According to the given data we the following:

Number of hats sold at $18=115

The manager predicts at 3 less will sold for every rise in 1 $ for at least 55 hats.

Therefore, reduction in number=115 hats-55 hats=60

So, increase in price=reduction in number/number of hats manager predicts that  will be sold for every $1 increase in price

increase in price=60/3=$20

Therefore, prices at which manager predict that at least 55 hats will be sold would be=$18+$20=$38

The prices at which manager predict that at least 55 hats will be sold would be would be of $38

8 0
3 years ago
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