Simplify -51/4-(-71/2). Which of the following is correct

91/4 as a fraction, 22.75 as a decimal

Step-by-step explanation:

(-51/4) - (-71/2)

=

(-51/4) + (71/2)

=

(-51/4) + (142/4)

=

(-51+142/4)

=91/4

Your answer is 91/4. The decimal version is 22.75. Hope this helps :)

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