We can calculate the depth d of snow, in centimeters, that accumulates in Harper's yard during the first h hours of a snowstorm using the equation d=5hd, equals, 5, h. How many hours does it take for 1 centimeter of snow to accumulate in Harper's yard? How many centimeters of snow accumulate per hour?

a) 0.2 h

b) 5 cm

Step-by-step explanation:

The given equation is:

   (1)

Where:

d: is the depth in centimeters

h: is the time in hours  

a) The hours that takes for 1 cm of snow to accumulate in Harper's yard can be found by solving equation (1) for h and by entering d = 1 cm into the equation:      

Hence, it takes 0.2 hours for 1 centimeter of snow to accumulate in Harper's yard.  

b) The depth in centimeters of snow accumulate per hour is:  

Therefore, 5 cm of snow accumulates per hour.  

I hope it helps you!

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