Convert 746% to a mixed number

373/50

Step-by-step explanation:

Step 1: convert to a fraction

746% = 746 ÷ 100 = 7.46

7.46 = 373/50

Step 2: Write the number as a fraction of one: 7.46 = 746/100

Step 3: use a common divisor of 2 to reduce the numbers, we have

(746÷2)= 373

(100÷2)=50

when reduced to the simplest form= 373/50

Therefore, 746/ 100 = 373/50 when expressed as a mixed number.

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