The sphere shown below is placed in a full overflow cup and sinks to the bottom. How much water is displaced by the sphere?Lecto
1 answer:
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Answer:
Proportion of all bearings falls in the acceptable range = 0.9973 or 99.73% .
Step-by-step explanation:
We are given that the diameters have a normal distribution with a mean of 1.3 centimeters (cm) and a standard deviation of 0.01 cm i.e.;
Mean, = 1.3 cm and Standard deviation,
= 0.01 cm
Also, since distribution is normal;
Z = ~ N(0,1)
Let X = range of diameters
So, P(1.27 < X < 1.33) = P(X < 1.33) - P(X <=1.27)
P(X < 1.33) = P( <
) = P(Z < 3) = 0.99865
P(X <= 1.27) = P( <
) = P(Z < -3) = 1 - P(Z < 3) = 1 - 0.99865
= 0.00135
P(1.27 < X < 1.33) = 0.99865 - 0.00135 = 0.9973 .
Therefore, proportion of all bearings that falls in this acceptable range is 99.73% .
Answer:
The coordinates of the point P is 14.
Step-by-step explanation:
Let point A is at 8 and B is at 16.
P is the point where the line segment in the ratio 3 : 1.
This is also where P is rds the distance from A to B
The total distance is |16 - 8| = 8
The distance between point AB is 8 units.
of 8 is 6.
So, the point P is 6 units from A .
8 + 6 = 14
P is at 14
Hence, the coordinates of the point P is 14.
This also works if you go 1/3 from B.
-8 is 4 from -4 which is 1/3 of 12.