In the proportion x over 5 equals 15 over 3 , which number is equal to x in the proportion?

x = 25

Step-by-step explanation:

We are given a word phrase:

In the proportion x over 5 equals 15 over 3 , which number is equal to x in the proportion?

So we will translate it to make it easier to solve.

Proportion x over 5 --->

equals ---> =

15 over 3 --->

Combining them, we get:

Solving this for x using cross multiplication:

Therefore, x = 25.

y -5 = (-1/4)(x + 8)

step-by-step explanation:

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