If y varies inversely as x and y is 6 when x is 12, what is x when y is 14.4? a.5 b.0.4 c.9.6 d.2.5

(a)

Step-by-step explanation:

Inversely: y = k/x, x = k/y

6 = k/12

k = 72

x = 72/14.4 = 5

a 5

Step-by-step explanation:

The formula for inverse variation is

xy =k

We know y=6 and x=12

12*6 = k

72 =k

xy = 72

We want to find x  when y = 14.4

x*14.4 = 72

Divide each side by 14.4

x*14.4/14,4 = 72/14.4

x =5

3 is greater then both of those numbers

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