1) The probability that an individual is left-handed is 12%. In a randomly selected class of 30 students, what is the probability of finding exactly 4 left-handed students? 2) Sixty-five percent of men consider themselves knowledgeable football fans. If 10 men are randomly selected, find the probability that exactly six of them will consider themselves knowledgeable fans.

0.2047

0.2377

Step-by-step explanation:

1.

What we have here is a binomial distribution

Probability p = 0.12

N = number of students in the class = 30

Probability of finding 4 left handers

P(x = 4) = 30C4 x (0.12)⁴ x (0.88)²⁶

= 27405 x 0.00020736 x 0.03602047835

= 0.2047

2.

This is also a binomial distribution

N = 10 p = 0.65

P(of 6 knowledgeable fans)

= 10C6 x (0.65)⁶ x (0.35)⁴

= 210 x 0.0754189 x 0.01500625

= 0.2377

19.side- angle- side

20. angle- side- angle

step-by-step explanation:

5x+40

5(x + 8)

7x - 49

7(x - 7)

18x + 9

9(2x + 1)

15x - 10

5(3x - 2)

step-by-step explanation:

for number one all you have to do is factor 5 out of 5x + 40

for number 2 factor 7 out of 7x - 49

for number three factor 9 out of 18x + 9

for number four factor 5 out of 15x - 10