A bag contains 5 white marbles and 30 blue marbles. If a representative sample contains 2 white marbles, then how many blue mar
1 answer:
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Answer:
The required probability is,
Step-by-step explanation:
Of 24 employees at a local supermarket, 13 work as cashiers and 11 stock shelves. If 4 employees are selected at random to work overtime, then
P( all 4 are cashiers) =
Answer:
Step-by-step explanation:
The probability of success (getting heads) on one roll DOESNT affect other rolls, so we need to find probability of getting a head in a roll.
Probability is defined as the number of favorable outcomes divided by the total number of outcomes.
<em>Here, favorable outcome is getting a head. So, on one roll, getting a head is 1. Also, the total number of outcomes is either a head or a tail. So total number of outcomes is 2.</em>
Thus,
P(Heads) = 1/2
Answer:
the rate of change of the water depth when the water depth is 10 ft is;
Step-by-step explanation:
Given that:
the inverted conical water tank with a height of 20 ft and a radius of 8 ft is drained through a hole in the vertex (bottom) at a rate of 4 ft^3/sec.
We are meant to find the rate of change of the water depth when the water depth is 10 ft.
The diagrammatic expression below clearly interprets the question.
From the image below, assuming h = the depth of the tank at a time t and r = radius of the cone shaped at a time t
Then the similar triangles ΔOCD and ΔOAB is as follows:
( similar triangle property)
h = 2.5r
The volume of the water in the tank is represented by the equation:
The rate of change of the water depth is :
Since the water is drained through a hole in the vertex (bottom) at a rate of 4 ft^3/sec
Then,
Therefore,
the rate of change of the water at depth h = 10 ft is:
Thus, the rate of change of the water depth when the water depth is 10 ft is;
