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eimsori [14]
2 years ago
5

a line passes through the point (-3,-5) and has a slope of 5 write an equation in point slope form for this line

Mathematics
1 answer:
Tanzania [10]2 years ago
4 0

Answer:

y=5x+10

Step-by-step explanation:

1) Plug numbers into slope formula to find b.

y=mx+b

-5=5(-3)+b

2) Simplify to find b.

-5=-15+b

10=b

3) Check work.

-5=-15+10

This statement is true.

4) Write equation.

y=5x+10

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The situation is as follows: Smart phones have changed the world and how we spend our time. A group of researchers at BYU want t
Scilla [17]

Answer:

The 96% confidence interval estimate for the mean daily number of minutes that BYU students spend on their phones in fall 2019 is between 306.65 minutes and 317.35 minutes.

Step-by-step explanation:

Confidence interval normal

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 - 0.96}{2} = 0.02

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

That is z with a pvalue of 1 - 0.02 = 0.98, so Z = 2.054.

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.

M = 2.054\frac{54}{\sqrt{430}} = 5.35

The lower end of the interval is the sample mean subtracted by M. So it is 312 - 5.35 = 306.65 minutes

The upper end of the interval is the sample mean added to M. So it is 312 + 5.35 = 317.35 minutes

The 96% confidence interval estimate for the mean daily number of minutes that BYU students spend on their phones in fall 2019 is between 306.65 minutes and 317.35 minutes.

8 0
2 years ago
If you are givent two points on a line, (5,6) and (-5, -4), what is the slope of the line!
alexira [117]

Answer:

m = -1

Step-by-step explanation:

Formula we'll use: \frac{y2}{x2} -\frac{y1}{x1} =m

m = slope.

y2 = -4

x2 = -5

y1 = 6

x1 = 5

<u>Substitute -4, -5, 6, 5 into the formula:</u>

<u />\frac{-4}{-5} -\frac{6}{5} =

<u>Subtract both top and bottom:</u>

m = -10/-10

m = -1

3 0
2 years ago
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