If you would like to know the interquartile range from the following set of numbers, you can find this using the following steps:
<span>The interquartile range is the difference between the third and the first quartiles.
</span>
Lower quartile: 27
Upper quartile: 64
<span>Interquartile range: upper quartile - lower quartile = 64 - 27 = 37
</span>
The correct result would be B. 37.
Answer:
The volume of the solid is 19.
unit³
Step-by-step explanation:
The given function is y = x³
The solid is created by revolving R about the line y = 1
We have that when y = 1, x = 1
Taking the end point as x = 2, we have the volume given by the washer method as follows;
![V = \pi \cdot \int\limits^a_b {\left( [f(x)]^2 - [g(x)]^2 \right)} \, dx](https://tex.z-dn.net/?f=V%20%3D%20%5Cpi%20%5Ccdot%20%5Cint%5Climits%5Ea_b%20%7B%5Cleft%28%20%5Bf%28x%29%5D%5E2%20-%20%5Bg%28x%29%5D%5E2%20%5Cright%29%7D%20%5C%2C%20dx)
Where;
a = 1, and b = 2, we have;
g(x) = 1
![V = \pi \cdot \int\limits^{2}_1 {\left( [x^3]^2 - [1]^2 \right)} \, dx = \pi \cdot \left[\dfrac{x^7}{7} + x \right]_1^{2} = \pi \cdot \left[\dfrac{2^7}{7} +2 -\left( \dfrac{1^7}{7} + 1\right)\right] =19\dfrac{1}{7}](https://tex.z-dn.net/?f=V%20%3D%20%5Cpi%20%5Ccdot%20%5Cint%5Climits%5E%7B2%7D_1%20%7B%5Cleft%28%20%5Bx%5E3%5D%5E2%20-%20%5B1%5D%5E2%20%5Cright%29%7D%20%5C%2C%20dx%20%20%3D%20%5Cpi%20%5Ccdot%20%5Cleft%5B%5Cdfrac%7Bx%5E7%7D%7B7%7D%20%2B%20x%20%5Cright%5D_1%5E%7B2%7D%20%3D%20%5Cpi%20%5Ccdot%20%5Cleft%5B%5Cdfrac%7B2%5E7%7D%7B7%7D%20%2B2%20-%5Cleft%28%20%5Cdfrac%7B1%5E7%7D%7B7%7D%20%2B%201%5Cright%29%5Cright%5D%20%3D19%5Cdfrac%7B1%7D%7B7%7D)
The volume of the solid, V = 
unit³ = 19. unit³
Answer:
J = -2
Step-by-step explanation:
You must isolate the variable by dividing each side by factors that dont contain the variable.
So J would equal -2
Answer:
23
Step-by-step explanation:
First subtract 7 and 4.
7-4=3
6-3=3
________
7+3+6+3+4
7+3=10
10+6=16
16+3=19
19+4=23
(Ignore the 3 inside the shape)
If you would like to know how far did Mackenzie run in one hour, you can calculate this using the following steps:
26 1/5 = 131/5 miles ... 5 4/5 = 29/5 hoursx miles = ? ... 1 hour
131/5 * 1 = 29/5 * x131/5 = 29/5 * xx = 131/5 * 5/29x = 131/29x = 4 15/29 miles
The correct result would be 4 15/29 miles.
Hope this helps :D
