Answer:
29 units
Step-by-step explanation:
The length of a segment of a number line is the difference of the coordinates of the end points:
45 -16 = 29
Answer:
5
Step-by-step explanation:
According to the described rule, we have

We can see the pattern

In other words, for all 

Now,

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.
(x + 1) x (x - 4). When you check it you will get your original expression.
Answer:
correct answer is option C.
Step-by-step explanation:
net income of a year = $35,000
accounts receivable is increased (AR)= $7,000
accounts payable decrease(AP) = $3,000
depreciation expense = $8,000
net cash provided = net income - increase in current asset (AR) - decrease in current asset (AP) +non cash flow
net cash provided = $35,000 -$7,000-$3,000+ $8,000
= $33000
hence the correct answer is option C.