Answer:
As a fraction, the answer is exactly 86/969
In decimal form, the answer is approximately 0.08875
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Work Shown:
The assumption is that no replacements are made for each selection.
5 red, 6 blue, 8 green
5+6+8 = 19 total
A = P(3 red) = (5/19)*(4/18)*(3/17) = 10/969
B = P(3 blue) = (6/19)*(5/18)*(4/17) = 20/969
C = P(3 green) = (8/19)*(7/18)*(6/17) = 56/969
D = P(3 all same color)
D = A+B+C
D = 10/969 + 20/969 + 56/969
D = (10+20+56)/969
D = 86/969
D = 0.08875
m + g + 30 = t
If m = 40 and t = 95,
g = t - m - 30 = 95 - 40 - 30 = 25.
8 is the hundreds, 7 in the tens, and 3 in the ones
Answer:
24 months
Step-by-step explanation:
Lifespan with z-score of -3 in the the set of normally distributed life spans of an appliance can be calculated using the equation:
where
- X is the lifespan we are looking for
- M is the mean life span of the appliance (48 months)
- s is the standard deviation of the distribution of the life spans (8 months)
We have
that is
-24=X-48 and
X=24 months.
The life span of an appliance that has a z-score of -3 is 24 months.