The tank of a small airplane holds 48 gallons of fuel. Seven gallons will be used for takeoff and landing. While in the air, the plane will consume an average of 10 gallons of fuel per hour. What is the maximum number of hours the plane can remain in the air? A. 5.5

B. 4.8

C. 6.0

D. 4.1

Step-by-step explanation:

If x is the number of hours, then:

48 = 10x + 7

41 = 10x

x = 4.1

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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