Given AD = 7x , AB = 3x and the perimeter is 160. Find X.

x = 8

Step-by-step explanation:

The complete question illustrates that the rectangle has sides ABCD and I've represented it as an attachment.

We have that:

AB = 3x

AD = 7x

The perimeter is calculated as:

Perimeter = 2 * (AB + AD)

Substitute values for AB, AD and Perimeter

160 = 2 * (3x + 7x)

160 = 2 * 10x

160 = 20x

Divide both sides by 20

8 = x

x = 8

step-by-step explanation:

10.50 + taxes which added up to 11.50

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