Mathematics, 21.06.2020 20:57 penaabel6202

Heather buys a bag of cookies that contains 5 chocolate chip cookies, 8 peanut butter cookies, 9 sugar cookies and 4 oatmeal cookies. What is the probability that Heather reaches in the bag and randomly selects 2 peanut butter cookies from the bag? Round your answer to four decimal places.

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Answer from: thesusan7494

0.0862 = 8.62% probability that Heather reaches in the bag and randomly selects 2 peanut butter cookies from the bag

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcoes.

The order in which the cookies are selected is not important, so we use the combinations formula to solve this question.

Combinations formula:

$C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

Desired outcomes:

2 peanut butter cookies, from a set of 4. So

$D = C_{8,2} = \frac{8!}{2!6!} = 28$

Total outcomes:

2 cookies from a set of 5+8+9+4 = 26. So

$T = C_{26,2} = \frac{26!}{2!24!} = 325$

Probability:

$p = \frac{D}{T} = \frac{28}{325} = 0.0862$

0.0862 = 8.62% probability that Heather reaches in the bag and randomly selects 2 peanut butter cookies from the bag

Answer from: Quest

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

Lots of points! show all of your work! i need #9-#14 and 12 + 16!

Answer from: Quest

A: 18/15b : 7 - -8 = 15 , 12 - -6 = 18 the y variable always goes over the x variables, c : same thing a

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Heather buys a bag of cookies that contains 5 chocolate chip cookies, 8 peanut butter cookies, 9 sug...