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:
Step-by-step explanation:
........
The equivalent expression of 
is 
<h3>How to determine the
equivalent expression?</h3>
The expression is given as:
1 minus StartFraction 1 Over x EndFraction divided by 2
Rewrite properly as:
Express the division as product
Evaluate the product
Take the LCM
Hence, the equivalent expression of is
Read more about equivalent expression at:
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9514 1404 393
Answer:
(a) 1.2b
(b) 1.4h
(c) A = 1.68bh
(d) 68%
Step-by-step explanation:
(a) If 20% of b is added to b, you have ...
b + 0.20b = 1.2b
__
(b) Similarly, if 40% of h is added to h, you have ...
1.4h
__
(c) The area of the new rectangle is the product of the new dimensions:
A = (1.2b)(1.4h)
A = 1.68bh
__
(d) The original rectangle area is A = bh, so the percentage change can be computed as ...
(A'/A -1)×100% = ((1.68bh)/(bh) -1)×100% = (1.68 -1)×100% = 68%
The given increases in base and height increase the area by 68%.
Answer:
$40,899.43
Step-by-step explanation:
Assume an acceptable mortgage repayment plan of 27% of pretax monthly income.
Annual realized Income is given by the product of the monthly mortgage payment by 12 months divided by the acceptable rate.
*Note that acceptable rate/proportion is relative and depends on the individual.
