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:
speed = distance/time
so renaldo speed = 3.2/0.5 = 6.4miles/hr (since time taken is 1/2 hr)
now after 1 hr of his appoinment i.e at 5:30pm he took bus whose speed is same as before i.e 6.4 miles/hr
now time taken to cover this 4.8 miles = 4.8/6.4 = 3/4 hr (since time = distance /speed )
3/4 hr = 3/4 * 60 = 45 minutes
so he reached at 6:15pm . so he will be on time.
Answer:
Step-by-step explanation:
Answer:
21
Step-by-step explanation:
We need to determine the percentage of defects of shoes for brand A
Percentage of shoes that have defect = (5/600) x 100 = 0.83%
shoes that would have defects when 2500 shoes are manufactured = 0.83% x 2500 = 0.0083 x 2500 = 20.75
rounding off to the nearest whole number gives 21 shoes
Answer:
The value of f(g(3) = 1,008
Step-by-step explanation:
<u>Step:-1</u>
Given f(x) =
and g(x) = 3x+9
h(x) = 12+x
Given g(x) = 3x+9
put x =3
g(3) = 3(3)+9
<u> g(3) = 18</u>
<u>Step :-(2)</u>
f(g(3)) = f(18)
f(g(3) = 3(18)^2 +2(18) (since f(x) =)
= 1,008
<u>Final answer</u>:-
The value of f(g(3) = 1,008
