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.
For this case, what you must do is take out the area of two triangles and add it to the area of a rectangle to find the total area.
We have then:
Triangle area:
A = (1/2) * ((13-9) / (2)) * (10) = 10 in ^ 2
Rectangle area:
A = (9) * (10) = 90 in ^ 2
Total area:
At = 2 * (10) + 90 = 110 in ^ 2
answer:
110 in²
fifty five hundredths is equal to 0.55
Answer:
About 5.5% decrease
Step-by-step explanation:
Here, we want to calculate the percentage increase or decrease and its value.
The first thing to do here is to check if we are going to have a decrease or an increase.
since the value before the change is higher than the value after the change, then what we have is a decrease.
Mathematically, the percentage decrease is calculated as follows;
% decrease = (old value - new value)/old value * 100%
old value = 163 feet
new value = 154 feet
% decrease = (154-163)/163 * 100%
% decrease = -9/163 * 100%
% decrease = -5.52%
Thus the best answer is about 5.5% decrease
Answer:
6b
Step-by-step explanation: