Answer:
Volume of the Prism =
Step-by-step explanation:
Volume of the right triangular prism= 
Length=8.5 cm
Width= 6 cm
Height= 8 cm
Putting the values in the formula:
Volume of the prism :

The volume of the Prism is 
Answer:
x = 54.6 m
Step-by-step explanation:
Δ MAB and Δ MNP are similar, then corresponding sides are in proportion, that is
=
, substitute values
= 
=
( cross- multiply )
80.5x = 4395.3 ( divide both sides by 80.5 )
x = 54.6
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 = larger number, y = smaller number
x = 5y
x - y = 36
5y - y = 36
4y = 36
y = 36/4
y = 9
x = 5y
x = 5(9)
x = 45
ur numbers are 45 and 9 <==
Answer:
median = total observation\ no of observation
median=2+3+2+3+2+6+13\7
median=19.857
Step-by-step explanation:
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