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IgorC [24]
3 years ago
14

Two angles are supplementary if the sum of their measure is 180 degrees. If one of the two supplementary angles measures 85 degr

ees, what is the measure of the other angle
Mathematics
1 answer:
ale4655 [162]3 years ago
4 0

Answer:

95 degrees.

Step-by-step explanation:

Their sum is 180. You will subtract 85 to get the other half of the whole.

180 - 85 = 95

The other angle is 95 degrees.

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The average rate of change from x = -2 to x = 6 for the function shown in the graph is______?
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Answer: -1/2

Step-by-step explanation:

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A game has an expected value to you of ​$100. it costs ​$500 to​ play, but if you win you receive​ $100,000 (including your ​$50
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Let X be a random variable denoting the amount of winnings in any given round of the game. There is some probability p of winning where P(X=99,500)=p, while P(X=-500)=1-p, assuming these are the only two possible outcomes. So we have

\mathbb E[X]=\displaystyle\sum_xxP(X=x)=99,500p-500(1-p)=100

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How do (3m) equal four?
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3 years ago
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
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