Rewrite 1 / 6 barrels over 2 over 5 hours as a unit rate

Step-by-step explanation:

5/12 barrel/hour

Step-by-step explanation:

 Type this as a fraction:

  (1/6) barrel

  (2/5) hours

Division by 2/5 is equivalent to multiplication by 5/2:

1                5

--- barrel * = 5/12 barrel/hour

6                2  hours

Alternatively, this problem could be done using decimal fractions:

0.1667 barrel

= 0.416666 barrel/hour  =  5/12 barrel/hour

0.4 hours

4 candies

step-by-step explanation:

7 x 28 = 196

200 - 196 = 4 candies remaining.

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