Answer:
The average rate of change of f(x) from 1 to 4 is -80.
Step-by-step explanation:
The average rate of change of f(x) from a to b is defined as
The average rate of change of f(x) from 1 to 4 is defined as
From the given table it is clear that the the value of the function is 244 at x=4 and 484 at x=1. So f(4)=244 and f(1)=484. Put these values in the above equation.
Therefore the average rate of change of f(x) from 1 to 4 is -80.
So, let's make these two values improper fractions so they're easier to work with.
So, to get the rate he grew in those months we have:
And to get the rate he grew in one month we have to divide both our numerator and our denominator by 21 to get:
aka he grew 1.24 inches in a month.
Answer:
The reuired probability is 0.756
Step-by-step explanation:
Let the number of trucks be 'N'
1) Trucks on interstate highway N'= 76% of N =0.76N
2) Truck on intra-state highway N''= 24% of N = 0.24N
i) Number of trucks flagged on intrastate highway = 3.4% of N'' =
ii) Number of trucks flagged on interstate highway = 0.7% of N' =
Part a)
The probability that the truck is an interstate truck and is not flagged for safety is
where
is the probability that the truck chosen is on interstate
is the probability that the truck chosen on interstate is flagged