Please help I’m stuck on the last one

AB = 14.0 cm

Step-by-step explanation:

Pythagora's Theorem

In a right triangle with a hypotenuse of length H and legs of lengths L and W, then it's satisfied the equation:

The diagram shows a wedge ABCDEF and it's required to calculate the length of the side AB.

Note the triangle FCB is right at C, where side length is the hypotenuse:

Triangle ABF is right at B and 20 cm is the hypotenuse, thus:

Solving for AB:

AB = 14.0 cm

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