Answer:
h = 9 cm.
Step-by-step explanation:
V = kBh where k is the constant of variation.
From the given info:
32 = k*16*6 = 96k
So k = 32/96 = 1/3.
So we have the equation of variation:
V = 1/3Bh
When V = 60 B = 20, so:
60 = 1/3 20h
20h = 60 * 3 = 180
h = 180 /20 = 9.
Answer:
The expression 35 - m is used to determine the number of gallons left in the tank after m minutes.Solution:Given that a tank containing 35 gallons of water is leaking at a rate of gallon per minute. Let "m" represent the number of minutes spent Number of gallons left in the tank = initial amount of water present – leaked amount of water
Number of gallons of water left = 35 gallons – number of minutes spent rate of leakage.
Number of gallons of water left = 35 gallons – m minutes 1 gallons per minute Hence, the required expression is 35 – m
<h3>
Answer: Independent</h3>
For two events A and B, if the occurrence of either event in no way affects the probability of the occurrence of the other event, then the two events are considered to be <u> independent </u> events.
=========================================================
Explanation:
Consider the idea of flipping a coin and rolling a dice. If these actions are separate (i.e. they don't bump into each other), then one object won't affect the other. Hence, one probability won't change the other. We consider these events to be independent.
In contrast, let's say we're pulling out cards from a deck. If we don't put the first card back, then the future probabilities of other cards will change. This is considered dependent.
This means that everybody answered the same number of items. This means that every data value is equal to the mean. This outcome permits us to say that the sample standard deviation of a data set is zero if and only if all of its values are same or identical.
Answer:
558 cm^3
Step-by-step explanation:
V cone = 1/3 pi r^2 h
We know it is 186 cm^3
186 =1/3 pi r^2 h
Multiply by 3
558 = pi r^2 h
V cylinder = pi r^2 h
From above we know that pi r^2 h is 558 , so the Volume of the cylinder is 558 cm^3