1. (5 pts) Use the Venn diagram below and the following survey information to determine the number of elements in each region. A group of 65 freshman college students were asked about courses:
19 were taking a science course
18 were taking a history course
50 were taking a math course
13 were taking science and history
11 were taking history and math
13 were taking science and math
9 were taking all three

(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

answer: get jesus in your life

step-by-step explanation:

you would need to also lose 1 point for each of the other outcomes for it to be fair.

step-by-step explanation:

1.) 21

2.) 0.453

3.) 1.5

4.) 48

5.) $ 22

step-by-step explanation: