The mean of the data set is 42.
<h3>What is Mean?</h3>
The arithmetic mean is found by adding the numbers and dividing the sum by the number of numbers in the list.
Given:
20, 32, 34, 36, 40, 42, 44, 48, 55, 65
Mean = 20+32+ 34+ 36+ 40+ 42+ 44+ 48+ 55+ 65/10
Mean = 416 / 10
Mean = 41.6
Mean = 42
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Answer:
1) ∫₀¹ 2π x (x − x²) dx
4) ∫₀¹ π ((√y)² − y²) dy
Step-by-step explanation:
The solid formed is a hollow, upside down cone. We can either use washer method or shell method to find the volume.
If we use washer method, the thickness of the washers is dy. The outside radius is R = x₂ = √y, and the inside radius is r = x₁ = y.
Therefore, the volume of each washer is:
dV = π (R² − r²) t
dV = π ((√y)² − y²) dy
The total volume is the sum of all washers from y=0 to y=1.
V = ∫ dV
V = ∫₀¹ π ((√y)² − y²) dy
If we use shell method, the thickness of each shell is dx. The radius of each shell is r = x. The height of each shell is h = y₂ − y₁ = x − x².
Therefore, the volume of each shell is:
dV = 2π r h t
dV = 2π x (x − x²) dx
The total volume is the sum of all shells from x=0 to x=1.
V = ∫ dV
V = ∫₀¹ 2π x (x − x²) dx
Answer:
Step-by-step explanation:
The answer is $11.55 for the week.
1) Since 1 watt is 0.001 kilowatts, 1500 watts is 1.5 kilowatts.
2) Multiply that by 7 for the week and that equals 10.5.
3) It takes her 10 minutes each day, so it takes 70 minutes per week, that is also 1.1 hours.
4) Multiply 10.5 kilowatts by 1.1 hours and you get 11.55.
5) The answer is $11.55 per week to dry Lisa's hair.
Answer:
X = -5
Step-by-step explanation:
Not really much to do.
1. Divide by -3 on both sides to get x by itself.
Answer:
it seems as if there are no numbers . try putting something in there.
Step-by-step explanation: