A.
h(x)=3*5ˣ; h(0)=3, h(1)=15: rate of change is (15-3)/1=12 (1st section)
h(2)=3*25=75, h(3)=3*125=375: rate of change (375-75)/1=300 (2nd section)
b.
So the second section is 300/12=25 times greater than the first section.
The function is exponential and as x gets larger the difference between consecutive values of h(x) increases dramatically so the rate of change increases.
2450 miles / 35 inches = 70 miles / inch
(big freaking map!)
Answer:
And adding we got:
Step-by-step explanation:
Previous concepts
The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".
Solution to the problem
Let X the random variable of interest, on this case we now that:
The probability mass function for the Binomial distribution is given as:
Where (nCx) means combinatory and it's given by this formula:
And we want to find this probability:
And adding we got:
Because the design is scaled by 3, the new dimensions are 9*3 X 12*3 = 27 X 36
Since the dimensions are 27 X 36, the area is equal to 27*36 = 972 square inches.