Answer: 
Step-by-step explanation:
Given
The area is bounded by 
and x-axis from [0,2]
The volume generated for 
when rotated about the x-axis in the interval [a,b] is
Insert the values
![\Rightarrow V=\int_0^2\pi x^4dx\\\\\Rightarrow V=\pi \int_0^2x^4dx\\\\\Rightarrow V=\pi \left[ \dfrac{x^5}{5}\right]_0^2\\\\\Rightarrow V=\dfrac{2^5\pi }{5}\\\\\Rightarrow V=\dfrac{32\pi }{5}\ \text{unit}^3](https://tex.z-dn.net/?f=%5CRightarrow%20V%3D%5Cint_0%5E2%5Cpi%20x%5E4dx%5C%5C%5C%5C%5CRightarrow%20V%3D%5Cpi%20%5Cint_0%5E2x%5E4dx%5C%5C%5C%5C%5CRightarrow%20V%3D%5Cpi%20%5Cleft%5B%20%5Cdfrac%7Bx%5E5%7D%7B5%7D%5Cright%5D_0%5E2%5C%5C%5C%5C%5CRightarrow%20V%3D%5Cdfrac%7B2%5E5%5Cpi%20%7D%7B5%7D%5C%5C%5C%5C%5CRightarrow%20V%3D%5Cdfrac%7B32%5Cpi%20%7D%7B5%7D%5C%20%5Ctext%7Bunit%7D%5E3)
Answer: change decimals into fractions
Step-by-step explanation:
Answer:
A) Professor A failure proportion = 0.12 ; B) Average = 0.1 ; C) σ = 0.055
Step-by-step explanation:
1) Proportion of failures for Prof A : Failure / Total
= 12 / 100 = 0.12
2) Proportion of failures for Prof B : 1/ 100 = 0.01
Proportion of failures for Prof C : 11 / 100 = 0.11
Proportion of failures for Prof D = 16 / 11 = 0.16
Average proportional failure for all instructors :-
[ Prop (prof A) + Prop (prof B) + Prop (prof C) + Prop (prof D) ] / 4
(0.12 + 0.01+ 0.11 + 0.16 ) / 4 = 0.4 / 4 = 0.1
3) Standard Deviation (σ) = √ Σ (x - x')^2 / n , where x' = mean = 0.1
x x - x' (x - x')^2
0.12 0.02 0.0004
0.01 -0.09 0.0081
0.11 0.01 0.0001
0.16 0.06 <u>0.0036 </u>
<u>Σ = 0.0122</u>
σ = √ 0.0122/ 4 = √0.00305 = 0.055
Answer:
4
Step-by-step explanation:
The factors of 5 and 15 are 1, 5 and 1, 3, 5, 15 respectively.
How many factors does 15 have?
4 factors
Factors of 15 are the list of integers that can be evenly divided into 15. It has a total of 4 factors of which 15 is the biggest factor and the positive factors of 15 are 1, 3, 5, and 15.
Answer:
i did my calculations and according to my calculations it is B
