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Ulleksa [173]
3 years ago
15

G(x) = -(x - 3)2 The composite function (gºg)(x)

Mathematics
1 answer:
AlexFokin [52]3 years ago
8 0

Answer:

just add or * them to get the answer

Step-by-step explanation:

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What number is 15% of 60
zhannawk [14.2K]

0.15 * 60 = 9 or 15/100 * 60/1 = 900/100 = 9

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X^5 y^2 + x^2 y^5 <br> Factor the expression completely.
Eduardwww [97]

Answer:

x^2 y^2(x+y)(x^2 - xy + y^2)

Step-by-step explanation:

x^2 y^2(x^3 + y^3)

(x+y)(x^2 - xy +y^2)

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What is the y-intercept for the graph of this line?<br> 3x - 5y= 6
Korvikt [17]

Answer:

y-intercept: (0, -1.2)

Step-by-step explanation:

3 0
3 years ago
Expand and simplify (2x)^2(3−1)
lord [1]

Answer:

8x^2

Step-by-step explanation:

(2x)^2(3−1)

= 4x^2(2)

= 8x^2

4 0
2 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
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