Casper has some whipping cream that is 18\%18%18, percent butterfat and some milk that is 4\%4%4, percent butterfat. He wants to make a 500\,\text{mL}500mL500, start text, m, L, end text mixture of them that is 12\%12%12, percent butterfat. Here's a graph that shows a system of equations for this scenario where xxx is the volume of whipping cream he uses and yyy is the volume of milk he uses.

The answer is B: The mixture has less than the intended volume, and more than the intended percent of butterfat

Step-by-step explanation:

Volume: 350ml + 100 ml = 450 ml.

B:

One way to see how L relates to this line is to see that L is below line b.

x + y < 500.

A:

Note that line a gives the equation for the requirement that the butterfat of the 500mL mixture is 12%, given whipping cream is %18 butterfat and some milk that is %4 butterfat.

One way to conclude what the butterfat percentage of L is in relation to the required 12% butterfat

0.18x +0.04y > 0.12x500.

Recall that cream is 18% butterfat, while milk is 4% butterfat, and that L is made up of 350 ml of cream and 100 ml of milk.

So the total amount of butterfat for L is:

0.18 x 350 + 0.04 x 100 = 67ml.

0.12 x 450 =  54ml

I got it wrong on khan academy and this is what it said

In conclusion, point M represents a scenario where the mixture has the intended volume and has more than the intended percent of butterfat.

answer: 0,6

step-by-step explanation:

this would make it the y intercept.

85.560%

step-by-step explanation:

conditional probability is defined as:

p(a|b) = p(a∩b) / p(b)

in other words, the probability that a occurs, given that b has occurred = the probability that both a and b occur / the probability that b occurs.

in this example:

p(turns 64 | turns 44) = p(turns 64 & turns 44) / p(turns 44).

if someone turns 64, they must have already turned 44, so:

p(turns 64 | turns 44) = p(turns 64) / p(turns 44)

on page 42, we see that of the original 100,000, 94944 turn 44, and 81234 turn 64.   therefore:

p(turns 64 | turns 44) = 81234 / 94944

p(turns 64 | turns 44) = 0.85560