Lets divide this prism into two parts. The bottom part has dimensions of 15mm length x 5mm width x 7mm height.
The bottom is 15x5x7 = 525 cubic mm.
The top part has dimensions of 9mm length (I got this by subtracting the 3mm on each side that the top is shorter than the bottom.. 15-3x2) x 5mm width x 3mm height.
The top is 9x5x3 = 135 cubic mm.
Added together ... 525 + 135 = 660 cubic mm = the total area of the prism.
Hope this helps
If lori finishes the race she would have ran 35.6 miles
Answer:
a. exponential growth
Step-by-step explanation:
the equation is y = 120000(1.03)^x
f(x)=a(1+r)^{x}
Answer:
There is a 0.73% probability that Ben receives a total of 2 phone calls in a week.
Step-by-step explanation:
In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

In which
x is the number of sucesses
is the Euler number
is the mean in the given time interval.
The problem states that:
The number of phone calls that Actuary Ben receives each day has a Poisson distribution with mean 0.1 during each weekday and mean 0.2 each day during the weekend.
To find the mean during the time interval, we have to find the weighed mean of calls he receives per day.
There are 5 weekdays, with a mean of 0.1 calls per day.
The weekend is 2 days long, with a mean of 0.2 calls per day.
So:

If today is Monday, what is the probability that Ben receives a total of 2 phone calls in a week?
This is
. So:


There is a 0.73% probability that Ben receives a total of 2 phone calls in a week.