Answer:
V=1884 Cubic mm
Step-by-step explanation:
We know that the volume of the Sphere is given by the formula
Where r is the radius and h is the height of the cylinder
We are asked to determine the radius of the hollow cylinder , which will be the difference of the solid cylinder and the cylinder being carved out.
Where
is the the volume of solid cylinder with radius 
and height h
is the volume of the cylinder being carved out with radius 
and height h
where
mm ( Half of the bigger diameter )
mm ( Half of the inner diameter )
mm
Putting these values in the formula for V we get
To solve for proportion we make use of the z statistic.
The procedure is to solve for the value of the z score and then locate for the
proportion using the standard distribution tables. The formula for z score is:
z = (X – μ) / σ
where X is the sample value, μ is the mean value and σ is
the standard deviation
when X = 70
z1 = (70 – 100) / 15 = -2
Using the standard distribution tables, proportion is P1
= 0.0228
when X = 130
z2 = (130 – 100) /15 = 2
Using the standard distribution tables, proportion is P2
= 0.9772
Therefore the proportion between X of 70 and 130 is:
P (70<X<130) = P2 – P1
P (70<X<130) = 0.9772 - 0.0228
P (70<X<130) = 0.9544
Therefore 0.9544 or 95.44% of the test takers scored
between 70 and 130.
Answer:
Step-by-step explanation:
Trace a linha de 8cm, daí você vai dividir ela no meio, ou seja, no 4. Aí é só contar 2 cm para cada lado, que vai ser o 1, as pontas vão ser o 2. Tendeu? Daí é só marcar os pontos no -3/7(~-2,3), 1,6, 7/5(1,4), -1 e 0
