By definition, the volume of a cone is given by:
Where,
r: radius of the circular base
h: height of the cone
Let's define a variable:
x: diameter of the base
We have then that the radio is:
The height is:
Substituting values:
Rewriting:
Answer:
An expression that represents the volume of the cone, in cubic units is:
2 mg per 1 ml. divide everything by 4 to give you 0.5 mg / 0.25 ml
Answer:
It will take 9 years
Step-by-step explanation:
Let x = number of years
you're adding x to each age to get
Pams age after x years: 14+x
Dad's age after x years: 37+x
Since the question is "In how many years will pans dad be twice as old as she will be?", this means that the equation is then
2(14+x)=37+x
Now solve for x
2(14+x)=37+x
28+2x=37+x
2x=37+x-28
2x-x=37-28
x=37-28
x=9
So the solution is x=9
This means that it will take 9 years.
Answer:
correct
Step-by-step explanation:
Answer: Second Option
68%
Step-by-step explanation:
First we calculate the Z-scores
We know the mean and the standard deviation.
The mean is:
The standard deviation is:
The z-score formula is:
For x=24 the Z-score is:
For x=30 the Z-score is:
Then we look for the percentage of the data that is between deviations from the mean.
According to the empirical rule 68% of the data is less than 1 standard deviations of the mean. This means that 68% of pizzas are delivered between 24 and 30 minutes