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WITCHER [35]
3 years ago
14

FSelect the correct answer. Consider these functions: f(x)=4x^3-10 g(x)=3x-4/2 What is the value of g(f(2))? A. -6 B. 2 C. 19 D.

31
Mathematics
1 answer:
Mrac [35]3 years ago
8 0

Answer:

D. 31

Step-by-step explanation:

First we need to find what the value of f(2) is, so we are going to substitute x for 2 in f():

f(2)=4(2)^3-10

= 4(8)-10

= 32-10

= 22

And then we substitute 22 for x in g()

g(22)= (3(22)-4)/2

= (66 -4)/2

= 62/2

= 31

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there are 864 students in a ninth grade class. there are 48 more boys than girls. how many boys are are there?
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Answer:

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Step-by-step explanation:

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5 0
3 years ago
Read 2 more answers
A research group needs to determine a 90% confidence interval for the mean repair cost for all car insurance small claims. From
lutik1710 [3]

Answer:

a) z = 1.645

b) The should sample at least 293 small claims.

Step-by-step explanation:

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1-0.9}{2} = 0.05

Now, we have to find z in the Ztable as such z has a pvalue of 1-\alpha.

So it is z with a pvalue of 1-0.05 = 0.95, so z = 1.645, which means that the answer of question a is z = 1.645.

Now, find  the margin of error M as such

M = z*\frac{\sigma}{\sqrt{n}}

In which \sigma is the standard deviation of the population and n is the size of the sample.

(b) If the group wants their estimate to have a maximum error of $12, how many small claims should they sample?

They should sample at least n small claims, in which n is found when

M = 12, \sigma = 124.88. So

M = z*\frac{\sigma}{\sqrt{n}}

12 = 1.645*\frac{124.88}{\sqrt{n}}

12\sqrt{n} = 205.43

\sqrt{n} = \frac{205.43}{12}

\sqrt{n} = 17.12

\sqrt{n}^{2} = (17.12)^{2}

n = 293

The should sample at least 293 small claims.

8 0
3 years ago
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