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lara31 [8.8K]
3 years ago
10

1. Calculate the slope of the line that passes through the points (-2, 6) and (5, 14).

Mathematics
1 answer:
SSSSS [86.1K]3 years ago
3 0
( -18 - 14)/(2 - -6)
-32/8
-4
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A sample of 13 sheets of cardstock is randomly selected and the following thicknesses are measured in millimeters. Give a point
valina [46]
<h3>Answer:  0.061</h3>

===============================================

Explanation:

Add up the values to get

1.96+1.81+1.97+1.83+1.87+1.84+1.85+1.94+1.96+1.81+1.86+1.95+1.89= 24.54

Then divide over 13 (the number of values) to get 24.54/13 = 1.8876923 which is approximate.

So the mean is approximately 1.8876923

---------------------

Now make a spreadsheet as shown below

We have the first column as the x values, which are the original numbers your teacher provided. The second column is of the form (x-M)^2, where M is the mean we computed earlier. We subtract off the mean and square the result.

After we compute that column of (x-M)^2 values, we add them up to get what is shown in the highlighted yellow cell at the bottom of the column.

That sum is approximately 0.04403076924

Next, we divide that over n-1 = 13-1 = 12

0.04403076924 /12 = 0.00366923077

That is the sample variance. Apply the square root to this to get the sample standard deviation. This is the point estimate of the population standard deviation. As the name implies, it works for samples that estimate population parameters.

sqrt(0.00366923077) = 0.06057417576822

This rounds to 0.061 which is the final answer.

5 0
2 years ago
Let f(x) = x2 − 16. find f−1(x). open study
Bogdan [553]
Okay, so first you make f(x) = y and switch x and y. So the equation becomes:

x = y^2 - 16

The next step is to get y by itself. So first you add 16 to both sides:

x + 16 = y^2

Now you square root everything, so the final answer is going to be:

the square root of x + 4 = y
5 0
3 years ago
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The area of a parallelogram is 16.8 square inches. If the base of the parallelogram is 1.5 inches, what is its height?
zubka84 [21]

Answer: the height is 11.2

Step-by-step explanation:

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3 years ago
How do you find x? Please help
marusya05 [52]
Since you know that DA and DC are equal in length, you can say 2x-3=x+2, when you add 3 to both sides, it becomes 2x=x+5, subtract x from both sides, and you find that x=5
5 0
3 years ago
You invest 7500 into a mutual fund that is expected to earn 7% per year, how long will it take the fun to be worth 15000?
frozen [14]

Answer:

10.2 years

gain is $2,704.00

rate of return is 22%

Step-by-step explanation:

The it would take for mutual to double can be determined the future value formula as shown below:

=nper(rate,pmt,-pv,fv)

rate is the rate of return of 7% per year

pmt is the periodic amount placed in the mutual fund and it not applicable here

pv is the original amount invested which is $7,500

fv is the future worth of $15,000

=nper(7%,0,-7500,15000)=10.2 years

cost of shares=actual cost of purchase+broker's commission

                      =(800*$15.34)+$20=$12,292.00  

gain on shares=sales proceeds-cost=(800*$18.77)-$20-$12,292.00=$2,704.00  

rate of return=gain/original cost=$2,704.00/$12,292.00  =22%

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3 years ago
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