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3 years ago

Can someone help and explain the probelm I don't get it.

Mathematics

1 answer:

stepladder [879]3 years ago

6 0

Answer:

y = -5x -1

Step-by-step explanation:

For this function, the outputs decrease by 5.

9 - 5 = 4

4-5 = -1

-1 - 5 = -6

etc.

This is the rate of change. It's constant and so it linear. Then the slope is -5.

Use the form y=mx+b for the function rule.

m = -5 and b = -1 (since b is the y-intercept when x=0).

y = -5x - 1

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3 years ago

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3 years ago

A fast food restaurant executive wishes to know how many fast food meals teenagers eat each week. They want to construct a 99% c

Lana71 [14]

Answer:

The minimum sample size required to create the specified confidence interval is 2229.

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:

$\alpha = \frac{1-0.99}{2} = 0.005$

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 $1-0.005 = 0.995$ , so $z = 2.575$

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.

What is the minimum sample size required to create the specified confidence interval

This is n when $M = 0.06, \sigma = 1.1$

$0.06 = 2.575*\frac{1.1}{\sqrt{n}}$

$0.06\sqrt{n} = 2.575*1.1$

$\sqrt{n} = \frac{2.575*1.1}{0.06}$

$(\sqrt{n})^{2} = (\frac{2.575*1.1}{0.06})^{2}$

$n = 2228.6$

Rounding up

The minimum sample size required to create the specified confidence interval is 2229.

7 0

3 years ago

Draw the triangle that is the image of the given triangle after dilation with center (0,0) and a scale factor of 1/4 (one fou

solong [7]

Hey there!

Your answer is C.

If you take the lengths of the legs of the triangle, which are 12 and 4, we can multiply them by the scale factor to see what the legs of our new triangle is.

12 x 1/4 = 3

4 x 1/4 = 1

So, the legs of our new triangle have lengths of 1 and 3.

We can see that option C has the correct triangle in red.

If we're looking at the ratio of rise to run of each triangle, it is 1/3 for both the large triangle and the small triangle.

The rise for the larger triangle is 4, and the run is 12. That is 4/12, which can be simplified to 1/3.

The rise for the smaller triangle is 1, and the run is 3. That is 1/3, which is all the way simplified already.

These triangles are similar because the first one was dilated to get the second one, which explains why the ratios are the same.

Hope this helps!

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3 years ago

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Feliz [49]

B because the center of data is best measured by the median when there are outliers, and 42 is an outlier in this set.

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