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4 years ago

Please help me out. Answer quick

Mathematics

1 answer:

Mandarinka [93]4 years ago

7 0

Answer: See below

Step-by-step explanation:

1. (fоg)(x) means f of g(x). You would plug in g(x) into f(x).

(fоg)(x)=3(4x²-5)-3

(fоg)(x)=12x²-15-3

(fоg)(x)=12x²-18

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2. (gоf)(x) means g of f(x). You would plug in f(x) into g(x).

(gоf)(x)=4(3x-3)²-5

(gоf)(x)=4(9x²-18x+9)-5

(gоf)(x)=36x²-72x+36-5

(gоf)(x)=36x²-72x+31

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3. (fоg)(0) means f of g(0). You would plug in g(0) into f(x).

(fоg)(0)=3(-5)-3

(fоg)(0)=-15-3

(fоg)(0)=-18

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4. (gоf)(0) means g of f(0). You would plug in f(0) into g(x).

(gоf)(0)=4(-3)²-5

(gоf)(0)=4(9)-5

(gоf)(0)=36-5

(gоf)(0)=31

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Answer:

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Step-by-step explanation:

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3 years ago

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3 years ago

A researcher wishes to estimate with 95% confidence, the proportion of the people who own a home computer. A previous study show

vitfil [10]

Answer:

The minimum sample size necessary is 2305.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence level of $1-\alpha$ , we have the following confidence interval of proportions.

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which

z is the zscore that has a pvalue of $1 - \frac{\alpha}{2}$ .

The margin of error is:

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

For this problem, we have that:

$\pi = 0.4$

95% confidence level

So $\alpha = 0.05$ , z is the value of Z that has a pvalue of $1 - \frac{0.05}{2} = 0.975$ , so $Z = 1.96$ .

The researcher wishes to be accurate within 2% of the true proportion. Find the minimum sample size necessary?

We need a sample size of n.

n is found when M = 0.02. So

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

$0.02 = 1.96\sqrt{\frac{0.4*0.6}{n}}$

$0.02\sqrt{n} = 1.96*\sqrt{0.4*0.6}$

$\sqrt{n} = \frac{1.96*\sqrt{0.4*0.6}}{0.02}$

$(\sqrt{n})^{2} = (\frac{1.96*\sqrt{0.4*0.6}}{0.02})^{2}$

$n = 2304.96$

Rounding up

The minimum sample size necessary is 2305.

8 0

3 years ago

A father is 3 times older than his son, or 28 years older. How old is the son?

Charra [1.4K]

Answer:

Son = 14

Father = 42

Step-by-step explanation:

Let son age be x

Father's age is 3x and x + 28

3x = x + 28

2x = 28

x = 28/2 = 14

Father's age is x + 28 = 42

6 0

3 years ago

What value of x makes this equation true?

Rus_ich [418]

Answer:

B. -44

Step-by-step explanation:

0.3x-7=0.8x+15

first subtract 0.3x to the other side of 0.8x which will equal

-7=0.5x+15

Then subtract 15 to the othe side of the equal sign which will be

-22=0.5x

Then divide both sides of 0.5( use calculator and put in -22/0.5)

which will be -44

7 0

3 years ago