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hammer [34]
3 years ago
5

Who can help me answer this question ASAP please and thank you please show work

Mathematics
1 answer:
kotegsom [21]3 years ago
4 0

I'll do the first one to get you started

So we have g(f(x)) which means that we start with g(x) and replace the 'x' with 'f(x)' to get g(f(x))

g(x) = ( x - 4 )/2

g(f(x)) = ( f(x) - 4)/2 .... replace every x with f(x)

g(f(x)) = (2x+4-4)/2 .... replace f(x) on the right side with 2x+4

g(f(x)) = (2x+0)/2

g(f(x)) = (2x)/2

g(f(x)) = 1x/1

g(f(x)) = 1x

g(f(x)) = x

Let me know if you need help with the other one.

You might be interested in
Solve for k. show work!
dolphi86 [110]

Answer:

71 degrees

Step-by-step explanation:

A right angle is 90 degrees, so the answer is 90-19=71 degrees.

4 0
3 years ago
Sam had $7.55 he then gave $4.46 to his friend. How much money does same have left?
Nana76 [90]

answer:

$3.09 left over

7 0
3 years ago
The length of a rectangle is three more than twice the width. Express the length of the rectangle in terms of its width W.
Alika [10]

Answer:

L = 3W + 3.

Step-by-step explanation:

Twice the width = 2W,

Adding 3 gives 2W + 3.

8 0
3 years ago
3.30 Survey response rate. Pew Research reported in 2012 that the typical response rate to their surveys is only 9%. If for a pa
Artist 52 [7]

Answer:

0% probability that at least 1,500 will agree to respond

Step-by-step explanation:

I am going to use the binomial approximation to the normal to solve this question.

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

Can be approximated to a normal distribution, using the expected value and the standard deviation.

The expected value of the binomial distribution is:

E(X) = np

The standard deviation of the binomial distribution is:

\sqrt{V(X)} = \sqrt{np(1-p)}

Normal probability distribution

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

When we are approximating a binomial distribution to a normal one, we have that \mu = E(X), \sigma = \sqrt{V(X)}.

In this problem, we have that:

n = 15000, p = 0.09

So

\mu = E(X) = np = 15000*0.09 = 1350

\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{15000*0.09*0.91} = 35.05

What is the probability that at least 1,500 will agree to respond

This is 1 subtracted by the pvalue of Z when X = 1500-1 = 1499. So

Z = \frac{X - \mu}{\sigma}

Z = \frac{1499 - 1350}{35.05}

Z = 4.25

Z = 4.25 has a pvalue of 1.

1 - 1 = 0

0% probability that at least 1,500 will agree to respond

6 0
3 years ago
Which of the following is an equivalent trig ratio for sin 60.
aliina [53]

Answer:

<h2>The equivalent to  sin 60 is cos 30</h2>

Step-by-step explanation:

we can obtain our answer either from calculator

or from four figure table

from calculator punching sine 60 will display 0.8660

likewise cosine 30 will display 0.8660

Hence both trigonometric values are equivalent

3 0
3 years ago
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