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Eva8 [605]
3 years ago
12

Let A = {1, 2, 3, 4, 5, 6, 7, 8, 9}. n distinct integers will be chosen from A. How big does n have to be

Mathematics
1 answer:
Hitman42 [59]3 years ago
7 0
Partition the set A into 4 subsets: {1, 8}, {2, 7}, {3, 6}, and {4, 5}, each consisting of two integers whose sum is 9. If 5 integers are selected from A, then by the Pigeonhole Principle at least two must be from the same subset. But then the sum of these two integers is 9.
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What is one difference between fixed rate mortgages and variable rate mortgages
AURORKA [14]

The difference between a fixed rate and an adjustable rate mortgage is that, for fixed rates the interest rate is set when you take out the loan and will not change. With an adjustable rate mortgage, the interest rate may go up or down. Many ARMs will start at a lower interest rate than fixed rate mortgages.

4 0
3 years ago
A student scored a 98, 86, 93 and 75 in math for the quarter. What is the student's math average for the quarter?
NNADVOKAT [17]
98+86+93+75=352

352/4=88

The math average is 88.
3 0
3 years ago
Read 2 more answers
Based on the similar triangles shown below, Theodore claims that ∆TUV is transformed to ∆WXY with a scale factor of 32. Is Theod
vazorg [7]

Answer:

No, the triangles are similar with a scale factor of ⅔

Step-by-step explanation:

Given that ∆TUV was transformed to ∆WXY, it means the original lengths of ∆TUV were multiplied by a scale factor that reduced the lengths of ∆TUV to get the lengths of ∆WXY.

AA scale factor of ³/2 will increase the lengths rather than reduce it.

Therefore, the scale factor that was used was ⅔.

Thus, ⅔ of UT will give you the size of XW. Check it out below:

UT = 12, therefore, ⅔*12 = 8.

3 0
3 years ago
A rectangular room is 12 1/2 feet long and 10 1/3 feet wide. What is the area of the room?
Snowcat [4.5K]

Answer:

D. 129 1/6 square feet

Step-by-step explanation:

L x W = A is the equation used to solve for the area of quadrilaterals

When we substitute the values of L and W for what the length and width actually are, we end up with the equation 12 1/2 x 10 1/3 = A.

Now you just need to multiply the length and width which will give you 129 1/6 square feet.

(sorry if this is confusing but I hope it helped)

4 0
3 years ago
Explain why the relationship is not linear.
zheka24 [161]
So, to be a linear relationship....the difference between the two consecutive "x" values and the difference between the two consecutive "y" values must be same.

In this case,
if we look at the x values , 4 - 3 = 1
                                          3 - 2 = 1
                                          2 - 1 = 1
they are all the same,
<u>BUT,</u><u><em /></u> if we look at the y values, 11.5 - 8.5 = 3
                                                   8.5 - 6.5 = 2
                                                   6.5 - 4.5 = 2
Here, the differences between the "y" values are all not the same.

<em><u>SO, the relationship is not linear.</u></em>
                                       
4 0
3 years ago
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