Find the exact values of the following, giving your answers as fractions. a) 2^-3
b) 3^-2
c) 10^-4

a) 1/8

b) 1/9

c) 1/10,000

Step-by-step explanation:

When a number is raised to a negative exponent, that means that the answer will be less than one. The format is:

x^-y = 1/x^y      (i apologize, exponents on here are really messy)

Ok so for a, you get 1/2^3. 2^3 = 8, so your resulting fraction is 1/8

b). 1/3^2. 3^2 = 9, so your resulting fraction is 1/9

c). 1/10^4. 10^4 = 10,000, so your resulting fraction is 1/10,000.

Sorry fractions and exponents don't work well on my computer. 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