Answer:
a) It is probability distribution
b) mean = 2.5
c) Standard Deviation = 1.11
Step-by-step explanation:
We are given the following in the question:
x 0 1 2 3 4 5
P(x) 0.033 0.149 0.318 0.318 0.149 0.033
Probability distribution:
Since, the summation of all the probabilities is 1 and each value of probability is between 0 and 1, the given is a probability distribution.
Mean of probability distribution:
Thus, the mean of distribution is 2.5
Standard deviation of probability distribution:
Thus, the standard deviation of the probability distribution is 1.11
Answer:
x is 4
Step-by-step explanation:
21x+6 = 90
21x=84
x=4
Number of pennies:P
Number of nickels:N
Number of dollar bills:D
P=N+12
N=D+5
1P+5N+100D=996
^given
Therefore
P=(D+5)+12
P=D+17
Plug back into main equation
(D+17)+5(D+5)+100D=996
Combine like terms
106D+42=996
106D=954
D=954/106=9
9 Dollar bills
N=D+5
N=(9)+5=14
14 Nickels
P=N+12
P=(14)+12=26
26 Pennies
26*1+14*5+9*100=996
Final answer:
9 Dollars
14 Nickels
26 Pennies
Answer:
144.97
Step-by-step explanation:
Use long multiplication to evaluate.
The shape is a square, therefore, all sides are equal.
The edge of the circle touches the edge of the square, and thus, one side of the square can be considered to be the same length as the diameter of the circle.
The formula for circumference is :
2"pie"r
Perimeter = 40ft.
Therefore each side = 10ft.
Therefore diameter = 10ft.
Therefore radius = d/2 = 10/2 = 5 ft.
Therefore circumference = 2"pie"5 ft = 10"pie" ft
(don't forget the unit of measurement!)
Hope this helped ~
