A college student with a small start-up company produces skateboards to sell in his hometown. He spends $3,000 for tools and marketing items to advertise the skateboards. Supplies for each skateboard cost $12. He sets a sales price at $27 per skateboard.

The correct solution is "27x".

Step-by-step explanation:

Throughout the question, the given values are:

Fixed cost,

= $3000

Variable cost,

= $12

Sales prize,

= $27

Let,

The number of skateboards produced will be "x".

Now,

⇒  

hence,

Reverse R(x) will be:

=

=

=

-22

times both sides by 2, times () by 8, add alile terms, move terms, add alike and caculate divide both sides by 3

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