Solve the problem.To play the lottery in a certain state, a person has to correctly select 5 out of 45 numbers, paying $1 for each five-number selection. If the five numbers picked are the same as the ones drawn by the lottery, an enormous sum of money is bestowed. What is the probability that a person with one combination of five numbers will win? What is the probability of winning if 100 different lottery tickets are purchased?

A.
B.
C.
D.


Answer: C

Mathematics

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Write the compound statement in symbols. Then construct a truth table for the symbolicstatement.Let r = "The food is good," p = "I eat too much,"q = "I'll exercise."If the food is good or if I eat too much, I'll exercise.

A. (r ? p) ? q  

TTT T
TTF F
TFT T
TFF T
FTT T
FTF T
FFT T
FFF T

B. (r ? p) ? q

TTT T
TTF F
TFT T
TFF F
FTT T
FTF F
FFT T
FFF T

C. r ? (p ? q)

TTT T
TTF T
TFT T
TFF F
FTT T
FTF T
FFT T
FFF T

D. r ? p ? q

TTT T
TTF T
TFT T
TFF F
FTT T
FTF T
FFT T
F F F T

Mathematics

Find a polynomial equation with real coefficients that has the given roots.7, 2

A. x2 + 14x + 9 = 0 B. x2 - 9x + 14 = 0 C. x2 + 14x - 9 = 0 D. x2 + 9x + 14 = 0

Mathematics

Find all integer factors of the given number.27

A. -27, -9, -3, 3, 9, 27 B. -9, -3, -1, 1, 3, 9 C. -27, -13, -3, 3, 13, 27 D. -27, -9, -3, -1, 1, 3, 9, 27

Mathematics

Provide an appropriate response.If z = (x2 + y2)10 where x = 4r2s3 and y = e2r+3s-3, then by means of the chain rule, (a) find 

What will be an ideal response?

Mathematics