All three friends want to purchase the same gaming system so they can play games together. The list price of the gaming system i
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The answers according to rows are:
- ROW 1 : diameter of base = 10, base area = 25π, volume of cylinder = 175π volume of cone =
π
- ROW 2 : base radius = 3, base area = 9π, height = 40/3, volume of cylinder = 120π
- ROW 3 : base radius = 6, base diameter = 12, height = 4, volume of cylinder = 144π
Mensuration is an aspect of geometry that deals with measurement of volumes and area.
Analysis:
Row 1
Diameter of base = 2 x radius = 2 x 5 = 10
Base area = π = π
= 25
Volume of cylinder = base area x height = 25π x 7 = 175π
Volume of cone = 1/3 x volume of cylinder = 175π/3
Row 2
Base radius = base diameter/2 = 6/2 = 3
Base area = π = π
= 9π
Volume of cone = 1/3 x base area x height
base area x height = 3 x volume of cone
base area x height = 3 x 40π
Height = 120π/9π = 40/3
Cylinder volume = 3 x cone volume = 3 x 40π = 120π
Row 3
Base area = π
36π = π
r2 =
r = 6
Base diameter = 2 x 6 = 12
Volume of cone = 1/3 x base area x height
48π = 1/3 x 36π x height
Height = 4
Cylinder volume = 3 x 48 = 144π
In conclusion,
ROW 1 : diameter of base = 10, base area = 25π, volume of cylinder = 175π
volume of cone = π
ROW 2 : base radius = 3, base area = 9π, height = 40/3, volume of cylinder = 120π
ROW 3 : base radius = 6, base diameter = 12, height = 4, volume of cylinder = 144π
Learn more about mensuration: brainly.com/question/18541562
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Answer:
Probability distribution for x:
Step-by-step explanation:
We can model the number of defective sets in the group of TV sets (variable x) as a binomial variable, with sample size=3 and probability of success p=2/7≈0.2857.
The probability of k defective sets in the group is:
So, we have this probabilty distribution for x:
Answer: a) degree and sign
b) end behavior: left side → +∞, right side → -∞
c) x-intercepts: x = -1.3, 0.3, 1.0
<u>Step-by-step explanation:</u>
end behavior can be determined by two things:
1) the degree of the polynomial:
- if the degree is an even number, then the end behavior will be the same for both the left and right sides.
- if the degree is an odd number, then the end behavior will be different for both the left and right sides.
2) the sign of the leading coefficient:
- If the leading coefficient is positive, then the end behavior of the right side goes to positive infinity
- If the leading coefficient is negative, then the end behavior of the right side goes to negative infinity
W(x) = -5x³ + 7x - 2
Degree: 3 (odd)
Leading Coefficient: negative
So, end behavior is: right side goes to negative infinity, right side goes to positive infinity.
See attachment for x-intercepts. <em>I set the x-axis to represent tenths </em>
