Answer:
0.9545
Step-by-step explanation:
Given that :
Mean (m) = 120
Standard deviation (s) = 12
what percentage of values is within the interval 96 to 144
P(96 < x < 144)
P(x < 96)
obtain the standardized score (Z) :
Z = (x - m) / s
Z = (96 - 120) / 12 = - 2
p(Z < - 2) = 0.02275 ( Z probability calculator)
P(x < 144)
obtain the standardized score (Z) :
Z = (x - m) / s
Z = (144 - 120) / 12 = 2
p(Z < - 2) = 0.97725 ( Z probability calculator)
p(Z < - 2) - p(Z < 2) = 0.97725 - 0.02275 = 0.9545
Answer:
see below
Step-by-step explanation:
You can remove one or more of the other color marbles to increase the probability of drawing a green marble
or
You can add one or more green marbles to have more green marbles in the bag
Answer: The required average is $576.
Step-by-step explanation:
Since we have given that
Percent of customers not returning each year = 25%
Average customer lifetime =
Percent of margin on the average bill = 60%
Cost per visit = $12
Number of times each year visited = 20 times
So, Average expense by each customer per year =
Average margin = 60% of 240 =
Average non discounted gross profit during a customer's lifetime is given by
Hence, the required average is $576.
Answer:
13.6 ft
Step-by-step explanation:
The geometric sequence of arc lengths can be described by ...
f(n) = a·b^n
We have (n, f(n)) = (3, 20) and (7, 12). Using these values, we can find the common ratio (b):
20 = a·b^3
12 = a·b^7
Then ...
12/20 = (a·b^7)/(a·b^3) = b^4 = 3/5
We want the 6th term, which we can get from the 7th term by multiplying by b^-1.
b^(-1) = (b^4)^(-1/4) = (3/5)^(-1/4) = √(√(5/3)) ≈ 1.13622
Then the 6th swing had an arc length of ...
f(6) = f(7)·b^-1
f(6) = (12 ft)(1.13622) ≈ 13.63 ft ≈ 13.6 ft