Answer:
Step-by-step explanation:
If x=2, 2x^3-2x^2+3x-2 ≠ 0, so (x-2) is not a factor.
2,3,5,7,11,13,17,19,23,29,31,37,41,43,47,53,59,61,67,71,73,83,89,97
those are the prime numbers
The probability that exactly 19 of them are strikes is 0.1504
The binomial probability parameters given are;
The probability that the pitcher throwing a strike, p = 0.675
The probability that the pitcher throwing a ball. q = 0.325
The binomial probability is given as follows;
Where:
x = Required probability
Therefore, the probability that the pitcher throws 19 strikes out of 29 pitches is found as follows;
The probability that exactly 19 of them are strikes is given as follows;
Hence the probability that exactly 19 of them are strikes = 0.1504
%18 tip
The dinner cost was $29 before tip
after tip it was $32.22
34.22-29= $5.22 she tipped
$29 * %x = $5.22
After solving this equation, the x is %18