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3 years ago

The graph of the function f is shown. the do.ain of f is [0,50]. what is the range of g(x) = 4f(x)

Mathematics

1 answer:

n200080 [17]3 years ago

6 0

Answer:

Range is [0 , 7] for g(x)

Step-by-step explanation:

The range of f(x) is [0 , 1.75]

The range of g(x) is 4 times

4*0 = 0

4* 1.75 =7

Range is [0 , 7] for g(x)

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Unoccupied seats on flights cause airlines to lose revenue. Suppose a large airline wants to estimate its average number of unoc

Bingel [31]

Answer:

We need a sample size of at least 719

Step-by-step explanation:

We have that to find our $\alpha$ level, that is the subtraction of 1 by the confidence interval divided by 2. So:

$\alpha = \frac{1-0.95}{2} = 0.025$

Now, we have to find z in the Ztable as such z has a pvalue of $1-\alpha$ .

So it is z with a pvalue of $1-0.025 = 0.975$ , so $z = 1.96$

Now, find the margin of error M as such

$M = z*\frac{\sigma}{\sqrt{n}}$

In which $\sigma$ is the standard deviation of the population and n is the size of the sample.

How large a sample size is required to vary population mean within 0.30 seat of the sample mean with 95% confidence interval?

This is at least n, in which n is found when $M = 0.3, \sigma = 4.103$ . So

$M = z*\frac{\sigma}{\sqrt{n}}$

$0.3 = 1.96*\frac{4.103}{\sqrt{n}}$

$0.3\sqrt{n} = 1.96*4.103$

$\sqrt{n} = \frac{1.96*4.103}{0.3}$

$(\sqrt{n})^{2} = (\frac{1.96*4.103}{0.3})^{2}$

$n = 718.57$

Rouding up

We need a sample size of at least 719

6 0

3 years ago

the population of masterton was 23 000 in 2012. Assume that Masterton population increases at a rate of 2% per year. Write an eq

Oksanka [162]

So, let's first focus on the first year:

the population then would be: 23000* (100+2)%

100% is the old population the 2% is the incease, so in total it's 102%, or 1.02 - the same number written differently.

So it will be 23000*1.02

After two years it will be 23000*1.02*1.02, and so on

so after x years it will be:

y=23000* $1.02^{z}$

8 0

3 years ago

Sue is drawing two lines on a coordinate plane. She begins the first line at the origin and ends at (4,3). She begins the 2nd li

ludmilkaskok [199]

Answer:

what is it man

Step-by-step explanation:

im sure u solved it by now

6 0

3 years ago

Graph a system of equations to solve log (−5.6x + 1.3) = −1 − x. Round to the nearest tenth.

const2013 [10]

From the least to the greatest, the solutions are x ≈ -2.1 and x ≈ 0.2

the answers are -2.1 and 0.2.

<h3>What is a linear equation?</h3>

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

The question is incomplete.

The complete question is in the picture, please refer to the attached picture.

We have two systems of the equation:

y = log (−5.6x + 1.3)

y = −1 − x

After plotting the above equation on the graph we will see two intersections point:

(-2.12, 1.12) and (0.221, -1.221)

So the least value is x = -2.12 ≈ -2.1

The greatest value is x = 0.221 ≈ 0.2

Thus, from the least to the greatest, the solutions are x ≈ -2.1 and x ≈ 0.2

the answers are -2.1 and 0.2.

Learn more about the linear equation here:

brainly.com/question/11897796

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8 0

2 years ago

Consider the equation 3/ x = 4/x-2 and solve for x

Goryan [66]

Answer:

x = -6

Step-by-step explanation:

3/ x = 4/(x-2)

Using cross products

3 (x-2) = 4x

Distribute

3x - 6 = 4x

Subtract 3x from each side

3x-3x-6 = 4x-3x

-6 =x

6 0

3 years ago