The rhythm method of contraception is rated as 60% effective. find the probability that it will be effective in each of five (5 out of 5) separate trials.

P(5R) = 0.60^5

P(5R) = 0.07776 = 0.078

Therefore the probability that it will be effective in each of five (5 out of 5) separate trials is 0.078

Step-by-step explanation:

Given;

The probability that the rhythm method of contraception is effective once is P(R) = 0.60

The probability that it will be effective n times is;

P(nR) = 0.60^n

For this case n= 5

P(5R) = 0.60^5

P(5R) = 0.07776

P(5R) = 0.078

.

step-by-step explanation:

(sin 42)/31. = sinx)/37

sinx = 37 (sin42)/31

= 37× 0.66/31 = 0.787

x= 51.9

other angle opposite to y = 180-51.9-42

= 180- 93.9 =86.1

so

sin42)/31 = sin 86.1)/y

0.021 = 0.997 /y

y= 0.997/0.021 =47.47