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3 years ago

Assuming there are no reflections or dilations,

Mathematics

1 answer:

Irina-Kira [14]3 years ago

8 0

Answer:

Step-by-step explanation:

We can see that this graph looks something like the graph of:

f(x) = 1/x^2

But the asymptotes of 1/x^2 are at x = 0, and in this case we can see that the asymptotes are near x = -3.

This may mean that the graph has been horizontally shifted 3 units to the left.

A general way to write an horizontal shift of N units is:

g(x) = f(x + N)

if N is positive, then the shift is to the left, if N is negative, then the shift is to the right.

In this case, we will have;

g(x) = f(x + 3)

And f(x) = 1/x^2

then:

g(x) = 1/(x + 3)^2

Graphing that, we get the graph shown below, that is almost the same as the graph in the image.

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A survey of 1000 air travelers1 found that 60 % prefer a window seat. The sample size is large enough to use the normal distribu

stira [4]

Answer:

The 90% confidence interval is 0.575 to 0.625.

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 interval $1-\alpha$ , 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 $1 - \frac{\alpha}{2}$ .

For this problem, we have that:

$n = 1000, \pi = 0.60$

90% confidence interval

So $\alpha = 0.1$ , z is the value of Z that has a pvalue of $1 - \frac{0.1}{2} = 0.95$ , so $z = 1.645$ .

The lower limit of this interval is:

$\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.60 - 1.645\sqrt{\frac{0.60*0.40}{1000}} = 0.575$

The upper limit of this interval is:

$\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.60 + 1.645\sqrt{\frac{0.60*0.40}{1000}} {119}} = 0.625$

The 90% confidence interval is 0.575 to 0.625.

3 0

3 years ago

Thom’s restaurant bill is $45 and he leaves a 20 percent tip. What is the total cost for Thom’s meal?

Studentka2010 [4]

Answer:

$54

Step-by-step explanation:

$\frac{x}{45} = \frac{20}{100}$

To get x which is the 20% tip

1. 45×20 = 900

2. 900÷100=9

3. 9 is the tip

To get the total cost, you would have to add $9 to $45 which is $54.

5 0

3 years ago

Read 2 more answers

Which of the quadratic functions has the narrowest graph?

topjm [15]

A quadratic function's graph being wide or narrow is determined or depended on a-term:

$\large{y = a {x}^{2} + bx + c}$

If |a| has a lot of value, for example a = 2 or a = 100. The graph will get narrower if increasing the value of |a|. On the other hand, If |a| has small value, for example a = 1/2 or a = 1/10000. The graph would be wide.

Also it does not matter if a-term is negative or not since a-term being positive or negative determines if a parabola is upward or downward. Only |a| determines how narrow/wide the graph is.

From the question, it is clear that the parabola y = 2x^2 is the narrowest graph since it has the highest |a| value out of all choices.

Answer

y = 2x^2

6 0

3 years ago

What is the domain of the function f(x) = sqrt x-9 + 5?

klemol [59]

Answer:

D. x≥ 9

Step-by-step explanation:

√x-9 should be ≥ 0

so, x-9≥0

=> x ≥ 9

8 0

3 years ago

CAN I GET A ẅhats 9+10.. 21¨

anzhelika [568]

Answer: 21!!

Step-by-step explanation:

You are not relevant if you did not say this in all of 2016-2018

7 0

3 years ago