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.
Answer:
n = -1.825
Step-by-step explanation:
8n + 16.2 = 1.6 (Given)
8n = -14.6 (Subtract 16.2 on both sides)
n = -1.825 (Divide 8 on both sides)
Answer:
1/5, 1/3, 4/6
Step-by-step explanation:
First, find all the common denominators for these numbers. In this case, it's 30.
1/5 = 10/30
4/6 = 20/30
1/5 = 6/30
Now, you can see which ones are greatest and least.
1. 1/5 (least)
2. 1/3 (middle)
3. 4/6 (greatest)
Answer:
$8,029.91
Step-by-step explanation:
You have to use the exponential growth equation:
A=P(1+r)^t
Where A is the final amount, P is the initial amount, r is the rate of increase, and t is the time in years. So:
A=6,600(1+0.04)^5
(The rate has to be changed into a decimal)
Then, just plug this equation into a calculator (without the A= part, so just 6,600(1+0.04)^5) and you'll get the answer.
<span>common difference for the sequence = 1/16
cause
1/4 = 4/16
and
3/8 = 6/16
so
4/16 + 1/16 = 5/16
5/16 + 1/16 = 6/16
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