Answer:
<em>53/3 simplified is 17 2/3</em>
Answer:
The probability that X is less than 32 minutes is 0.736.
Step-by-step explanation:
Given : The random variable X is exponentially distributed, where X represents the time it takes for a person to choose a birthday gift. If X has an average value of 24 minutes.
To find : What is the probability that X is less than 32 minutes?
Solution :
If X has an average value of 24 minutes.
i.e. 
The random variable X is exponentially distributed, where X represents the time it takes for a person to choose a birthday gift.
The exponentially function is 
The function form according to question is

The probability that X is less than 32 minutes is



Therefore, the probability that X is less than 32 minutes is 0.736.
The value of the interior angle of the regular polygon is calculated using the formula (n - 2) 180 / n where n is the number of sides of the regular polygon.
<u>Step-by-step explanation:</u>
A regular polygon refers to a multi-sided convex figure where all the sides are equal in length and all the angles have equal degree measures.
The triangle has 3 interior angles of 60 degrees
The square has 4 interior angles of 90 degrees.
The pentagon has 5 interior angles of 108 degrees .
The formula for the interior angle of a regular polygon is given by,
(
n
−
2
)
180 / n
where n refers to the number of sides.
Triangle : (3 - 2) 180 / 3 = 60 degree.
Square : (4 - 2) 180 / 4 = 90 degree.
Pentagon: (5 - 2) 180 / 5 = 108 degree.
Kim is X
Jordan= x+7
So J x 4=200
This means 4(x+7) = 200
x=43
43+7=50
50 x 4=200
so Kim is 43 and Jordan is 50.
<u>Answer:
</u>
An inlet pipe on a swimming pool can be used to fill the pool in 33 hours. Time it will take to fill the pool = 748 hrs
<u>Solution:
</u>
Let x = time it will take to fill the pool
= work rate of inlet pipe
= work rate of drain pipe
Using the formulae
Volume of flow=work rate
time
Let us assume complete time of pool to fill = 1
Remaining fraction of pool to be filled = 




Time it will take to fill the pool = 748 hrs