A basket contains 1 blueberry muffin, 1 apple muffin, 1 bran muffin, and 1 carrot muffin. you randomly choose 3 muffins. what is the probability that you choose apple, bran, and carrot muffins? Write in the form of fraction in simplest form.

We have 4 muffins.

The probability of choosing apple first is equal to the number of apple muffins in the basket divided the total number of muffins:

p1 = 1/4

For the second selection we must slect the bran muffin, we do the same as before, but we already selected a muffin, so there are 3 muffins in the basket

p2 = 1/3

For the third selection we have 2 muffins in the basket, so:

p3 = 1/2

the joint probability is:

p = p1*p2*p3 = (1/4)*(1/3)*(1/2) = 1/24

This is if the order matters (first apple, then bran, then carrot)

Now, if we can draw it in any permutation (meaning that the order does not matter), we have 3*2*1 = 6 possible permutations, so the probability is:

P = 6*(1/24) = 1/4

That is equal to the probability of NOT drawing the muffin of blueberry.

d: (13,-1)

step-by-step explanation:

we know the starting point is (1,5)

the ending point is (x,y)   (cristians house)

the total distance is 6 units (5: 1)  

the fast food restaurant is at (11,0) and is 5/6ths of the way from the starting point to the ending point

ending minus starting point * 5/6   is how far they went

(x-1) *5/6, (y-5) * 5/6

we then need to add the starting point to determine the location

5/6(x-1) + 1, (y-5) * 5/6 + 5

this equals the fast food location of 11,0

setting the x locations equal

5/6 (x-1) +1 =11

subtracting 1 from each side

5/6 (x-1) +1-1 =11-1

5/6(x-1) =10

multiplying by 6/5 on each side

6/5*5/6(x-1) = 10*6/5

x-1 =12

add 1 to each side

x-1+1 =12+1

x=13

do the same for the y coordinate

(y-5) * 5/6 + 5 =0

subtract 5 from each side

(y-5) * 5/6 + 5-5 =0-5

5/6 (y-5) = -5

multiplying by 6/5 on each side

6/5*5/6 (y-5) = -5 *6/5

y-5 = -6

add 5 to each side

y-5+5 = -6+5

y=-1

the ending point , or the coordinates of cristians house is

(13,-1)

yes

step-by-step explanation:

(2x+3)(x+5)(x-4)