Answer:
sorry if wrong
Step-by-step explanation:
Probability and statistics are related areas of mathematics which concern themselves with analyzing the relative frequency of events. ... Probability deals with predicting the likelihood of future events, while statistics involves the analysis of the frequency of past events.
Answer:
.
Step-by-step explanation:
We have been given that a variable force of 
pounds moves an object along a straight line when it is x feet from the origin. We are asked to find the work done in moving the object from x = 1 ft to x = 10 ft.
We know that 
, where F represents force.
Now, we will integrate both sides of equation as:
Take the constant out:
Upon applying power rule of integrals, we will get:
![w =3\/[ \frac{x^{-2+1}}{-2+1} ]^{10}_1](https://tex.z-dn.net/?f=w%20%3D3%5C%2F%5B%20%5Cfrac%7Bx%5E%7B-2%2B1%7D%7D%7B-2%2B1%7D%20%5D%5E%7B10%7D_1)
![w =3[ \frac{x^{-1}}{-1} ]^{10}_1](https://tex.z-dn.net/?f=w%20%3D3%5B%20%5Cfrac%7Bx%5E%7B-1%7D%7D%7B-1%7D%20%5D%5E%7B10%7D_1)
![w =3[ -\frac{1}{x} ]^{10}_1](https://tex.z-dn.net/?f=w%20%3D3%5B%20-%5Cfrac%7B1%7D%7Bx%7D%20%5D%5E%7B10%7D_1)
![w =3[ -\frac{1}{10} -(-\frac{1}{1})]](https://tex.z-dn.net/?f=w%20%3D3%5B%20-%5Cfrac%7B1%7D%7B10%7D%20-%28-%5Cfrac%7B1%7D%7B1%7D%29%5D)
![w =3[ -\frac{1}{10}+\frac{10}{10})]](https://tex.z-dn.net/?f=w%20%3D3%5B%20-%5Cfrac%7B1%7D%7B10%7D%2B%5Cfrac%7B10%7D%7B10%7D%29%5D)
![w =3[\frac{9}{10}]](https://tex.z-dn.net/?f=w%20%3D3%5B%5Cfrac%7B9%7D%7B10%7D%5D)
Therefore, the work done by the object is .
Answer:
B
Step-by-step explanation:
Using the cosine ratio in the right triangle
cos x = 
= 
, then
x = 
( ) ≈ 57° ( to the nearest degree ) → B
Answer:
A(8)=32cm
B(9)=36cm
C(10)=40cm
Step-by-step explanation:
let 8:9:10=A:B:C
∑ratios=8+9+10=27
Have a great day!
Step-by-step explanation:
Answer:
$14.07
Step-by-step explanation:
100 - 15 = 85
You change this into a multiplier 0.85.
18 x 0.85 = 15.30
100 - 8 = 0.92
0.92 x 15.30 = 14.07
