For this case what you should do is create the equation based on:
"She knows that the volume of the container is equal to one-third of the product, the square of the radius of the base of the container, and the height of the container"
We have then that the Volume is given by:
V = (1/3) * (r ^ 2) * (h)
where,
r: radius of the base.
h: height of the container.
answer
The volume of the container is calculated with the following equation:
V = (1/3) * (r ^ 2) * (h)
Answer
Social security tax amount = $3348
Medicare tax amount = $743
Step by step explanation
The amount earned by Marcus = $54000
Social security tax = 6.2% = 6.2/100 = 0.062
Social security tax amount = 54000*0.062
Social security tax amount = $3348
Medicare tax = 1.45% = 1.45/100 = 0.0145
Medicare tax amount = 54000*0.0145
Medicare tax amount = $743
Hope this will help you.
Answer:
a) The expected number of questions that are answered correctly by both A and B = 11 (7 + 4).
b) The Variance of the number of questions that are answered correctly by either A or B = 2.25.
Step-by-step explanation:
Number of questions in the examination = 10
Probability of A's answer being correct = 0.7
Probability of B's answer being correct = 0.4
The expected number of questions that are answered correctly by both A and B:
Probability of Expected
Correct Answer Value Variance
A 0.7 7 (0.7 * 10) 2.25
B 0.4 4 (0.4 * 10) 2.25
Total expected value = 11
Mean = 5.5 2.25
I would love to help but how can we help if we can not see the images ?
The area ratio is the square of the linear dimension ratio. So if the merry-go-round base is circular, the area contains the square of the radius. If a polygon, the base can be divided into triangles. The area of each triangle involves the product of the base length and the height, so since both have the same change of length, the product will square the scaling ratio.
Let’s say the ratio of corresponding lengths is x:1 then the ratio of the base areas is x²:1.
The question doesn’t provide any figures.
Let’s put some in as an example. Let the actual merry-go-round be circular with a diameter of 20 feet, while the model is one foot in diameter. So the ratio of the actual ride and it’s model is 20:1. The area of the base of the actual ride is 100π sq ft. The area of the base of the model is π/4 sq ft. We expect the ratio of these areas to be 20²=400. 100π/(π/4)=400.
