The given regression shows the relationship between the numbers of car washed(x) and the amount earned for charity(y).
y = 10x + 20
We are to calculate the amount of charity if 50 cars are washed. Number of cars are represented by x, so by substituting x = 50 in above equation we can find the amount of charity that is earned by washing 50 cars.
y = 10(50) + 20 = $ 520
Thus, the charity can earn $520 if 50 cars come in for a wash.
Answer: Andrew = 90 pounds
Explanation:
Assume Andrew weight is X
Since Jackson weight is 3 times Andrew
Then it’s 3x
3x + x = 360
4x = 360
x = 90
Answer:
512
Step-by-step explanation:
Suppose we ask how many subsets of {1,2,3,4,5} add up to a number ≥8. The crucial idea is that we partition the set into two parts; these two parts are called complements of each other. Obviously, the sum of the two parts must add up to 15. Exactly one of those parts is therefore ≥8. There must be at least one such part, because of the pigeonhole principle (specifically, two 7's are sufficient only to add up to 14). And if one part has sum ≥8, the other part—its complement—must have sum ≤15−8=7
.
For instance, if I divide the set into parts {1,2,4}
and {3,5}, the first part adds up to 7, and its complement adds up to 8
.
Once one makes that observation, the rest of the proof is straightforward. There are 25=32
different subsets of this set (including itself and the empty set). For each one, either its sum, or its complement's sum (but not both), must be ≥8. Since exactly half of the subsets have sum ≥8, the number of such subsets is 32/2, or 16.
For the first 1 X= 11 because all you need to do is add or subtract the numbers visible.
The second would be 2.
(x+6)2+(y-10)2=36 , would be your equation.
