Answer:
probability of lasting longer = 1.7%
Step-by-step explanation:
We are given:
x' = 14 years
μ = 12.3 years
s = 0.8 years
Thus, let's use the formula for the Z-score value which is;
z = (x' - μ)/s
Thus;
z = (14 - 12.3)/0.8
z = 2.125
From the z-distribution table attached, the p-value is ;
P(x' > 2.125) = 1 - 0.983 = 0.017 = 1.7%
Thus,probability of lasting longer = 1.7%
Answer:
24
Step-by-step explanation:
Solve for x by simplifying both sides of the equation, then isolating the variable.
x=24
If y varies directly as the square of x, that means that y=k*x^2. Plugging y=100 and x=5 into it, we get 100=k*5^2=k*25. Dividing by both sides, we get k=100/25=4. Going back to the original equation, we now know that y=4*x^2. Plugging 9=x in, we get 4*9^2=4*81=324=y
Answer:
3 units
Step-by-step explanation:
Hello
The sphere volume is:
(4/3)*Pi*r^3
then
36 = (4/3)*Pi*r^3
36/[(4/3)*Pi] = r^3
8,5 = r^3
r = 3
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