Angle B measures 30 degrees.
Step-by-step explanation:
Step 1:
If two angles are complementary, the sum of the two angles will equal 90°.
So if angles A and B are complementary, the sum of the angles A and B will equal 90°.
It is given that cos A = 0.5, we can determine the value of A by taking the cos inverse of the value 0.5.
Step 2:
If cos A = 0.5, A = 
So angle A is 60°.
As A and B are complementary, angle A + angle B = 90°.
So 60° + angle B = 90°, angle B = 90° - 60° = 30°.
So angle B measures 30° while angle A measures 60°.
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.
Answer:
12
Step-by-step explanation:
I'm not entirely sure abt this but here goes nothing
75.36 divided by 3.14 = 24
24 = diameter
radius = 12
