Answer:
16% probability that the facility needs to recalibrate their machines.
Step-by-step explanation:
We have to use the Empirical Rule to solve this problem.
Empirical Rule:
The Empirical Rule states that, for a normally distributed random variable:
68% of the measures are within 1 standard deviation of the mean.
95% of the measures are within 2 standard deviation of the mean.
99.7% of the measures are within 3 standard deviations of the mean.
What is the probability that the facility needs to recalibrate their machines?
They will have to recalibrate if the number of defects is more than one standard deviation above the mean.
We know that by the Empirical Rule, 68% of the measures are within 1 standard deviation of the mean. The other 100-68 = 32% is more than 1 standard deviation from the mean. Since the normal distribution is symmetric, of those 32%, 16% are more than one standard deviation below the mean, and 16% are more than one standard deviation above the mean.
So there is a 16% probability that the facility needs to recalibrate their machines.
Answer:
Step-by-step explanation:
According to the diagram, the radius of this cyl. is 3 and the height is 4 (not 5). The formula for the volume of a cylinder is:
V = pi*r^2*h.
Here, that volume is V = pi*3^2*4, or 36 pi cubic units. That's Answer B.
Since you know that the hose will fill the whole pool in 8 minutes you know it will fill 1/8 of the pool per minute. In 5 minutes it will fill up 5/8 of the pool. This will make your equation 5/8 +5r=1. Solving for r will give you 3 parts/40 minutes
Answer:
1.65 + 0.09s
Step-by-step explanation:
Given that :
Cost of speaker = $22
Cost per song = $1.25
Sales tax rate = 7.5%
Expression to obtain the amount of sales tax on entire purchase : 0.075(22 + 1.25s)
Expanding the expression :
0.075(22 + 1.25s)
(0.075 * 22) + (0.075 * 1.25s)
1.65 + 0.09375s
Rounding to the nearest hundredth :
Sales tax on entire purchase :
1.65 + 0.09s
Answer:
together rate = 1/20 min/job
one comp. rate = 1/(x-9) min/job
2nd comp. rate = 1/x min/job
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Equation:
rate + rate = together rate
1/x + 1/(x-9) = 1/20
---
20(x-9) + 20x = x(x-9)
40x-9*20 = x^2-9x
---
x^2-49x + 180 = 0
Factor:
(x-45)(x-4) = 0
Realistic solution since 4-9 is negative:
x = 45 minutes
then
x-9 = 36 minutes (faster computer time to do the job)
Step-by-step explanation:
