All cone-shaped cups have the same height in 8 inches. They just differ in their diameters. To solve for the volume of the regular and jumbo sizes, let's use the formula for the volume of cone
V = (1/3)*pi*(r^2)*h
r is just the half of the diameter, h is the height which is equal to 8
Regular size:
V = (1/3)*pi*((4/2)^2)*8
V = 33.5 cube inches
Jumbo size:
V = (1/3)*pi*((8/2)^2)*8
V = 134.0 cube inches
Answer:
12
Step-by-step explanation:
Parenthesis first:
5-4+1
5-4=1+1=2
18÷3×2
Divide:
18÷3×2
Multiply:
6×2=12
Answer:
1.2 times or 20%
Step-by-step explanation:
Given the function ; f(x) = 830(1.2)^x
This is an exponential function ;
Recall the general form of an exponential function ; f(x) = ab^x ;
Where a = Initial value ; b = growth rate
Hence, b = 1.2
Also, b = 1 + r
1.2 = 1 + r
r = 1.2 - 1
r = 0.2
r = 0.2 * 100% = 20%
Explanation
The question indicates we should use a logistic model to estimate the number of plants after 5 months.
This can be done using the formula below;

Workings
Step 1: We would need to get the value of A using the carrying capacity and initial plants that started growing in the yard.
This gives;

Step 2: Substitute the value of A into the formula.

Step 3: Find the value of the constant k
Kindly recall that we are told that the plants increase by 80% after each month. Therefore, after one month we would have;

We can then have that after t= 1month

Step 4: Substitute -k back into the initial formula.

The above model is can be used to find the population at any time in the future.
Therefore after 5 months, we can estimate the model to be;

Answer: The estimated number of plants after 5 months is 130 plants.
Answer:
See explanation
Step-by-step explanation:
Given
randomly selecting a male
randomly selecting someone with blue eyes
Solving (a): Interpret P(M|B)
The above implies conditional probability
The interpretation is: the probability of selecting a male provided that a person with blue eyes has been selected
Solving (b): is (a) the same as P(B|M)
No, they are not the same.
The interpretation of P(B|M) is: the probability of selecting a person with blue eyes provided that a male has been selected