Answer:
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The mean of the data is 11
now we find the difference between the mean and each number
1, 2, 3, 0.5, 0.25, 1.25, 1.
now we square the numbers
1, 4, 9, 0.25, 0.0625, 1.
now we find the mean of the new numbers
which is 2.1875
2.1875 is your standard deviation.
Answer:
a. $45.54; b. $51.42; c. See below
Step-by-step explanation:
a. 193 min
Service charge = $40.00
1st 100 min @ 0.021 = 2.10
Next 93 min @0.037 = <u> 3.44
</u>
Total = $45.54
b. 317 min
Service charge = $40.00
1st 100 min @ 0.021 = 2.10
2nd 100 min @ 0.037 = 3.70
117 min @ 0.048 = <u> 5.62</u>
Total = $51.42
c. Piecewise function
The charge is
- $40.00 + 0.021t if t ≤ 100
- $42.10 + 0.037(t - 100) if 100 < t ≤ 200
- $45.80 + 0.048 (t - 200) if t > 200
which we can write like this:

Step-by-step explanation:
n(S) = 25
Assume that O : odd numbers and E : even numbers,
n(O) = 13
n(E) = 25-13 = 12
P(OO) = P(O) x P(O)
= 13/25 x 12/24
(because without replacing so the number of balls left decreases)
= 13/25 x 1/2
= 13/50