You want to find the volume inside the hemisphere
(i.e. inside the sphere but above the plane
) and outside the cylinder
. Call this region
.
In cylindrical coordinates, we have



(where
)


Answer: The Mean absolute deviation is 5. The mean is 10.
2 is 8 away from the mean.
5 is 5 away from the mean.
9 is 1 away from the mean.
10 is 0 away from the mean.
17 is 7 away from the mean.
19 is 9 away from the mean
Step-by-step explanation:
Hope this helps!
pls mark brainliest :)
Answer:
μ = 5.068 oz
Step-by-step explanation:
Normal distribution formula to use the table attached
Z = (x - μ)/σ
where μ is mean, σ is standard deviation, Z is on x-axis and x is a desired point.
98% of 6-oz. cups will not overflow means that the area below the curve is equal to 0.49; note that the curve is symmetrical respect zero, so, 98% of the cases relied between the interval (μ - some value) and (μ + some value)].
From table attached, area = 0.49 when Z = 2.33. From data, σ = 0.4 oz and x = 6 oz (maximum capacity of the cup). Isolating x from the formula gives
Z = (x - μ)/σ
2.33 = (6 - μ)/0.4
μ = 6 - 2.33*0.4
μ = 5.068
This means that with a mean of 5 oz and a standard deviation of 0.4 oz, the machine will discharge a maximum of 6 oz in the 98% of the cases.
First you add 3 and 2 so that is 5 and then you subtract 5 from 9 so the answer is 4.