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2 years ago

Given f(x) = log x and g(x) = -x + 1, which is the graph of (fºg)(x)?

Mathematics

1 answer:

ss7ja [257]2 years ago

4 0

Answer:

(f • g)(x) = log (-x + 1)

Step-by-step explanation:

Here is a composite function

What we simply have to do here is to make a substitution

the substitution we are going to make is that we will substitute the value of x in f(x) with the entirety of g(x)

This simply mean that we replace every x we find in f(x) with the entire equation of g(x)

we have this as;

f(g(x)) = log (-x + 1)

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Oksi-84 [34.3K]

Answer:

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2 years ago

X^2+9x+20=0 What are the steps to solve by factoring?

Dimas [21]

First simplify the equation and next multiply the 20 with the x^2 and find a number that adds together to give you the middle

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3 years ago

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While conducting a test of modems being manufactured, it is found that 10 modems were faulty out of a random sample of 367 modem

Kitty [74]

Answer:

We conclude that this is an unusually high number of faulty modems.

Step-by-step explanation:

We are given that while conducting a test of modems being manufactured, it is found that 10 modems were faulty out of a random sample of 367 modems.

The probability of obtaining this many bad modems (or more), under the assumptions of typical manufacturing flaws would be 0.013.

Let p = population proportion.

So, Null Hypothesis, $H_0$ : p = 0.013 {means that this is an unusually 0.013 proportion of faulty modems}

Alternate Hypothesis, $H_A$ : p > 0.013 {means that this is an unusually high number of faulty modems}

The test statistics that would be used here One-sample z-test for proportions;

T.S. = $\frac{\hat p-p}{\sqrt{\frac{p(1-p)}{n} } }$ ~ N(0,1)

where, $\hat p$ = sample proportion faulty modems= $\frac{10}{367}$ = 0.027

n = sample of modems = 367

So, the test statistics = $\frac{0.027-0.013}{\sqrt{\frac{0.013(1-0.013)}{367} } }$

= 2.367

The value of z-test statistics is 2.367.

Since, we are not given with the level of significance so we assume it to be 5%. Now at 5% level of significance, the z table gives a critical value of 1.645 for the right-tailed test.

Since our test statistics is more than the critical value of z as 2.367 > 1.645, so we have sufficient evidence to reject our null hypothesis as it will fall in the rejection region due to which we reject our null hypothesis.

Therefore, we conclude that this is an unusually high number of faulty modems.

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3 years ago

2 x 9 = ? and also dont you just loooooove my profile picture

Verizon [17]

Answer:

Step-by-step explanation:

2 * 9 = 18

9 + 9 = 18

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3 years ago

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A box contains 18 balls numbered 1 through 18. Two balls are drawn in succession without replacement. If the second ball has the

erica [24]

Answer:

3 out of 18

i think

Step-by-step explanation:

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3 years ago