Your friend is addicted to insomnia cookies. She orders Insomnia Cookies at 2 AM 40 percent of the time. When she orders cookies, she sleeps in and misses her 9:30 AM statistics class 75 percent of the time. When she doesn't order cookies, she misses statistics class just 10 percent of the time. This morning she missed class, what is the probability she ordered Insomnia Cookies last night? 1

The probability that the missed class is because she order cookies last night is 0.83.

Step-by-step explanation:

Events:

C: order cookies

NC: not order cookies

M: missed class

Then we know:

P(C)=0.40

P(M|C)=0.75

P(M|NC)=0.10

We need to calculate the probability that the missed class is because she order cookies P(C|M).

According to the Bayes theorem, we have

The probability that the missed class is because she order cookies last night is 0.83.

it would be 6xy and -16xy.

9) i can't see the angle so whatever it is just do this: cos(angle) x hypotenuse and then use that answer and they hypotenuse and plug it into this: (answer you just got)^2 + b^2 = (hypotenuse)^2. the first answer will be the answer of the adjacent side and the second answer after this equation will be the opposite side.

10) y = 14 x = √147 or 12.12435565

11) x = 4.8

12) x = 4.2

13) x = 9.3

14) pq: 13.2

qr : 17.6

angle p: 53º

15) angle c: 54.3º

angle a: 35.7º

16) h = 21040

v = 1841

step-by-step explanation:

10) 7/sin(30) = 14 = y

7^2 + b^2 = 14^2

49 + b^2 = 196

b^2 = 196 - 49

√b^2 = √147

x = √147

11) cos(70) x 14 = 4.788282007

x = 4.8

12) tan(25) x 9 = 4.196768923

x = 4.2

13) sin(31) x 18 = 9.270685348

x = 9.3

14) pq: sin(37) x 22 = 13.23993051

pq: 13.2

qr: cos(37) x 22 = 17.56998122

qr : 17.6

angle p: 180 - (37 + 90) = 53º

15) cos-1(7/12) = 54.31466529

angle c: 54.3º

angle a: 180 - (90 + 54.31466529) = 35.68533471

angle a: 35.7º

16) 4 x 5280 = 21120

cos(5) x 21120

h = 21039.63202

h = 21040

sin(5) x 21120

v = 1840.729287

v = 1841