If the weight of 12 sheets of thick paper is 40 gm, how many sheets
of the same paper would weigh 2 ½ kg?

750 sheets

Step-by-step explanation:

2.5 kilograms=2.5*1000=2500 grams

2500/40=62.5 stacks-of-12-papers

62.5*12=750 sheets of paper

To check our work:

Let's set x as the weight of one sheet of paper.

12x=40 grams, x= 3 1/3 (three and one thirds) grams

3 and 1/3 *750= 2500 grams

2500 grams=2.5 kilograms

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