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2 years ago

What is the value of (f • g)(2)?

Mathematics

1 answer:

Alona [7]2 years ago

3 0

Answer:

f(g(2)) = 1

Step-by-step explanation:

Another way to write this composite is f(g(2)). We first have to compute g(2), then fit that value into f.

$g(2)=2^2=4$ .

g(2) = 4. Now we have to find f(4):

f(4) = 4 - 3 = 1

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Which choice is the equation of a line that passes through the point (–6, –2) and is perpendicular to the line represented by th

kobusy [5.1K]

Answer:

B. y = 1/3x

Step-by-step explanation:

The slope of the given line is -3, so the slope of the perpendicular line will be the negative reciprocal of that: -1/(-3) = 1/3. This eliminates choices A and C.

We can find the y-intercept (b) if we use the given point values in the equation ...

y = 1/3x +b

we get ...

-2 = (1/3)(-6) +b

-2 = -2 +b . . . simplify

0 = b . . . . . . . add 2

So, the equation of the perpendicular line through the given point is ...

y = 1/3x . . . . matches choice B

_____

<em>Alternate solution method</em>

You can try the given point in the given equations. You will find that only the equation of choice B will work.

7 0

2 years ago

a textbook company ships its books in boxes that can hold 30 pounds. one particular order calls for a shipment of 800 books. if

Pachacha [2.7K]

83 boxes are required to carry 800 books.

According to the question:

One Box can hold weight = 30 pounds

We know that , 1 pound= 0.45 kg

hence, 30 pounds = 30 x 0.45 = 13.5kg

hence, one box can carry 13.5 kg of weight.

Now,

Weight of 1 book = 1.4 kg

So, Total Weight of 800 books= 1.4 x 800 kg

And , No. of boxes required to carry 800 books = (1.4 x 800)/13.5 = 82.96

or approximately 83 boxes

Hence, 83 boxes are required to carry 800 books.

Learn more about Unitary Method at :

brainly.com/question/19423643

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4 0

1 year ago

A random sample of 40 binomial trials resulted in 14 successes. test the claim that the population proportion of successes does

mylen [45]

Using the z-distribution, since the p-value of the test is of 0.057 > 0.05, there is not enough evidence that the population proportion of successes does not equal 0.50.

<h3>What are the hypotheses tested?</h3>

At the null hypotheses, we test if the proportion of successes equals 0.5, hence:

$H_0: p = 0.5$

At the alternative hypotheses, we test if it does not equal, hence:

$H_1: p \neq 0.5$

<h3>What is the test statistic?</h3>

The test statistic is given by:

$z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}$

In which:

$\overline{p}$ is the sample proportion.

p is the proportion tested at the null hypothesis.

n is the sample size.

For this problem, the parameters are given by:

$n = 40, \overline{p} = \frac{14}{40} = 0.35, p = 0.5$

Hence the test statistic is given by:

$z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}$

z = (0.35 - 0.5)/(0.5/sqrt(40))

z = -1.9.

<h3>What is the decision?</h3>

Using a z-distribution calculator, considering a two-tailed test, as we are testing if the proportion is different of a value, with z = -1.9, we get that the p-value of the test is of 0.057.

Since the p-value of the test is of 0.057 > 0.05, there is not enough evidence that the population proportion of successes does not equal 0.50.

More can be learned about the z-distribution at brainly.com/question/16313918

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5 0

8 months ago

Please help!!!!!!!!

Arisa [49]

It should be C., is that what the graph looks like?

6 0

2 years ago

A student said thst the distance between (-5,7) and (3,7) is 2 units<br>is the student correct?

Usimov [2.4K]

No.

The distance is |-5 -3| = 8 units. (Y-coordinates are the same, so the distance is measured entirely in the x-direction. Distance is non-negative.)

3 0

2 years ago