Answer:
Step-by-step explanation:
If a given variable varies inversely with another variable, an increase in the value of the given variable would cause a corresponding decrease in the value of the other variable. Also, a decrease in the value of the given variable would cause a corresponding increase in the value of the other variable.
If y varies inversely with x, we would introduce a cost of variation, k so that the expression becomes
y = k/x
When y = 0.25, x = 8
Substituting into the expression above, it becomes
0.25 = k/8
k = 0.25 × 8
k = 2
The inverse variation function is
y = 2/x
Answer: How do you find the rate of change of volume?
The rate of change in volume is dV/dt. The question is asking for the rate that the side length is changing. That would be ds/dt. If we take the derivative of both sides of V = s^3 with respect to time, we get dV/dt = d/dt[s^3].
Answer:y=-5/3x+2
Step-by-step explanation:
Answer:
Therefore, the probability is P=0.0084.
Step-by-step explanation:
We know that a multiple-choice test in which each question has 4 choices only one of which is correct. Assume that 9 questions are answered by guessing randomly.
Because we have 4 choices only one of which is correct, we get that p=0.25 and q=0.75.
We calculate the probability of getting exactly 6 correct answers.
n=9 and k=6.

Therefore, the probability is P=0.0084.