The school store has 1200 pencils in stock and sells an average of 25 pencils per day. The manager reorders when the the number
2 answers:
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Answer:
C. V = two-thirds (27)
Step-by-step explanation:
Given
Solid Shapes: Cylinder and Sphere
Volume of Cylinder = 27π ft³
Required
Volume of the sphere.
From the question,
<u>We have that</u>
1. The volume of the sphere is the same as the volume of the cylinder
2. The height of the sphere is the same as the height of the cylinder.
From (2) above;
This means that the height of the cylinder equals the diameter of the sphere.
Let h represent the height of the sphere and d represent the diameter of sphere.
Mathematical, d = h
Recall that radius, r =
Substitute h for d in the above expression
. ----- (take note of this)
Calculating the volume of a cylinder.
V = πr²h
Recall that V = 27; This gives us
27 = πr²h
Divide both sides by h
-------------------
Calculating the volume of a sphere
Expand the above expression
Substitute
Recall that
So,
V = two-third (27)
Answer:
Step-by-step explanation:
GIVEN: Suppose that in a certain county of voters are registered as Democrats,
as Republicans,
as Green party, and the rest are considered Independents. You conduct a poll by calling registered voters in the county at random.
TO FIND: Probability that the first call will be to either a Democrat or a Republican.
SOLUTION:
Lets total population of county be .
voters registered as Democrats
voters registered as Republicans
voters registered as Green party
Probability that first call will be to Democrats
Probability that first call will be to Republican
probability that the first call will be to either a Democrat or a Republican
Hence the probability that the first call will be to either a Democrat or a Republican is