What is the volume of a cone with the same radius and height as the cylinder?
Answers
Answer:44 cm3
Step-by-step explanation:
I took the test
Answer:
B. 44 pi cm sqaured
Step-by-step explanation:
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The standard deviation of the given data is 17.1
What is standard deviation?
Standard deviation meaning in statistics is a measure of how much the data points vary from the mean or average. It is calculated as the square root of the variance, which is the average of the squared deviations of each data point from the mean.
Given is a data set, we need to find the standard deviation of the data set,
S = 25, 40, 35, 25, 40, 60, 75
Finding the mean =
(25+40+35+25+40+60+75)/7 = 42.86
Finding the variance =
(25-42.86)² = 319
(40-42.86)² = 8.2
(35-42.86)² = 61.8
(25-42.86)² = 319
(40-42.86)² = 8.2
(60-42.86)² = 293.8
(75-42.86)² = 1033
(319+8.2+61.8+319+8.2+293.8+1033)/7=291.9
Therefore, the standard deviation =
√291.9 = 17.1
Hence, the standard deviation of the given data is 17.1
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Answer:
17.1
Step-by-step explanation:
1. Find the Mean
(25+40+35+25+40+60+75)/7 = 42.9
2.For each number, subtract the Mean and square the result.
(25-42.86)^2=319
(40-42.86)^2=8.2
(35-42.86)^2=61.8
(25-42.86)^2=319
(40-42.86)^2=8.2
(60-42.86)^2=293.8
(75-42.86)^2=1033
3. Find the Mean of those squared differences.
(319+8.2+61.8+319+8.2+293.8+1033)/7=291.9
4.Take the square root of that and this is what you want.
square root of 291.9 = 17.1
Answers
Answer:
Note from question, Let K be any integer. Integer = 1
θ = πk
θ = 3.142 * 1
θ = 3.142 in three decimal places
θ = sin⁻¹ (2/3) + 2kπ
θ = sin⁻¹0.667 + 2*1*3.142
θ = 0.718 + 6.284
θ = 7.002 in three decimal places
∴ 7.002 , 3.142
Step-by-step explanation:
Considering the equation
3 tan(θ) sin(θ) − 2 tan(θ) = 0
The objective is to solve the equation.
First solve the equation in one period.
3 tan(θ) sin(θ) − 2 tan(θ) = 0
( 3sinθ − 2 ) tanθ = 0
Therefore, 3sinθ − 2 = 0 also tanθ = 0
=> sinθ = 2/3 , tanθ = 0
Pick the right equation.
tanθ = 0
θ = tan⁻¹ 0
θ = 0
Using the unit circle, the period of tangent functions is π
Then the general solution of the equation is θ = 0 + πk ==> θ = πk
Pick the left equation.
3sinθ − 2 = 0
3sinθ = 2
sinθ = 2/3
θ = sin⁻¹ (2/3)
As the sine function has period 2π
Then the general solution is θ = sin⁻¹ (2/3) + 2kπ
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Answers
add 36+26+30+28=120
then divide 120 by 4, and you get 30
30 is your average