The length of a rectangular pool is 50 yards, and the width of the pool is 16 yards. What is the approximate length of the diagonal of the pool

52.5

Step-by-step explanation:

You would use the Pythagorean theorem to solve this. Using the formula,

a^2 + b^2 = ^2

You would have an equation of 50^2 + 16^2 = c ^2.

50^2 is 2500, and 16^2 is 256.

There, you have 2500+256 = c^2

add those together, and you have 2756.

Now, you have to find the square root of 2756 (to solve 2756 = c^2)

which leaves you with 52.4976189936 . Rounded to the nearest tenth, you end up with 52.5.

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