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.
Hey there! :D
So, we know that there are 3 z's and 3 6's.
3*z= 3z
6*3= 18
3(z+6) <== equivalent expression
3z+18 <== equivalent expression
z is by itself. It shouldn't combine. It should stay the same. 6 as a unit is separate from z.
Choices "B" and "E" are correct.
I hope this helps!
~kaikers
Answer: See below
Step-by-step explanation:
<u>Area of the square</u> = l*w = 11*11 = 121
<u>Area of the circle</u> = pi r^2 = pi*1^2 = 3.142
<u>Part A</u>
P(hitting the circle) = 3.142 / 121 = 0.026 which is closer to 0.
<u>Part B</u>
P(hitting the outside portion) = 1 - 0.026 = 0.974 which is closer to 1.
Answer:
x = 11
Step-by-step explanation:
Consecutive means in a row
Let x be the first integer
x+1 is the second
x+2 is the third
x+3 is the 4th
The sum is 50
x+ x+1 + x+2 + x+3 = 50
Combine like terms
4x+6 = 50
Subtract 6 from each side
4x+6-6 = 50-6
4x = 44
Divide each side by 4
4x/4 = 44/4
x = 11
Number of red cards including 2 red queens = 26
Number of black queens = 2
Therefore, number of red cards including 2 red queens and 2 black queens = 26 + 2 = 28
Number of cards neither a red card nor a queen = 52 - 28 = 24
