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3 years ago

What is the slope of the line through the points (-2, -1) and (4, 3)?

Mathematics

2 answers:

blsea [12.9K]3 years ago

6 0

Answer:

4. 2/3

Step-by-step explanation:

Plug the coordinates into the formula.

y2 - y1 / x2 - x1

= 3 - (-1) / 4 - (-2)

= 2/3

Gnom [1K]3 years ago

4 0

I think it’s 2/3 sorry if I’m wrong

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A 90 percent confidence interval for the slope of a regression line is determined to be (-0.181, 1.529). Which of the following

GenaCL600 [577]

Answer: a. The correlation coefficient of the data is positive.

Step-by-step explanation:

Estimated slope of sample regression line = $\dfrac{Upper \ limit + lower\ limit}{2}$

Here , confidence interval : (-0.181, 1.529)

Estimated slope of sample regression line = $\dfrac{-0.181+1.529}{2}$

$=\dfrac{1.348}{2}\\\\=0.674\ \ \ \ [\text{ positive}]$

⇒Correlation coefficient(r) must be positive, So a. is true.

But, d. and e. are wrong(0.674 ≠ 0 or 1.348).

We cannot check residuals or its sum from confidence interval of slope of a regression line, so b is wrong.

We cannot say that scatterplot is linear as we cannot determine it from interval, so c. is wrong

So, the correct option : a. The correlation coefficient of the data is positive.

7 0

3 years ago

Which of these is the quadratic parent function?

hjlf

Answer:

B. f(x)= $x^{2}$

Step-by-step explanation:

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3 years ago

Read 2 more answers

Write four numbers that round to 700,000 when rounded to the nearest hundred thousand

slega [8]

699,995
699,996
699,997
699,998

6 0

3 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

Substitute -4, -5, 6, 5 into the formula:

$\frac{-4}{-5} -\frac{6}{5} =$

Subtract both top and bottom:

m = -10/-10

m = -1

3 0

2 years ago

Foggy Optics, Inc., makes laboratory microscopes. Setting up each production run costs $2500. Insurance costs, based on the aver

Ray Of Light [21]

Answer: 4

Step-by-step explanation:

Let N be the total number of runs.

The microscopes per year will be equal to the total number of runs * microscopes per run

total number of microscopes = total number of runs * microscopes per run

now we have each run to cost 2500, therefore:

run costs = 2500 * total runs = 2500*N

we also have insurance and storage costs (note the average thats why we divide by 2):

storage costs = 20* microscopes per run /2 = 20*N/2

insurance costs = 15 * microscopes per run = 15*N

the costs are:

costs = run costs + storage + insurance

now the comany sells 1600 microscopes a year, so in order to figure out the number of microscopes per run we divide 1600 by the total number of runs N and replace in the costs

costs = 2500N + 40000/N => C(N) = 2500N + 40000/N

now derivate the function with respect to N and equal to 0:

$\frac{d}{dN}(2500N + 40000/N) = 2500(1-16/N^2) \\\\ 2500(1-16/N^2) = 0\\$

this gives you two solutions, N = -4 which is not eligible (you cant make negative microscopes lol) and N = 4 which is the answer

have a nice day

4 0

3 years ago