They withdrew from it meaning it decreased?
<span>f(x)=(x^2 -2x)(3x-1) is a product and is most easily differentiated using the product rule:
f '(x) = (x^2 - 2x)(3) + (3x-1)(2x-2)
Now subst. 2 for x in this equation. We get:
f '(2) = (2^2 - 2(2))*3 + (3(2)-1)(2(2) -2), or
=3(4-4) + (6-1)(2) so f '(2) = 10 (answer)</span>
Answer:
a. y = 4x b. 48 feet
Step-by-step explanation:
y = mx + b
Plotted points found:
(5,20) (10,40)
Delta y/Delta x
(40-20)/(10-5)
20/5 = 4
Slope: 4
y = 4x + b
The y-intercept is when x = 0. In this case, the y-intercept is 0.
Equation: y = 4x
b.
y = 4(12)
y = 48 feet
3-4/.8=1.25
then use the probability z chart to get
10.56%
Answer:
or ![P(x\le 4\ or x> 10) = 0.5714](https://tex.z-dn.net/?f=P%28x%5Cle%204%5C%20or%20x%3E%2010%29%20%3D%200.5714)
Step-by-step explanation:
Given
![x = \{1,2,3,4,5,6,7,8,9,10,11,12,13,14\}](https://tex.z-dn.net/?f=x%20%3D%20%5C%7B1%2C2%2C3%2C4%2C5%2C6%2C7%2C8%2C9%2C10%2C11%2C12%2C13%2C14%5C%7D)
Required
Determine ![P(x\le 4\ or x> 10)](https://tex.z-dn.net/?f=P%28x%5Cle%204%5C%20or%20x%3E%2010%29)
Because the events are independent, the probability can be solved using:
![P(A\ or\ B) = P(A) + P(B)](https://tex.z-dn.net/?f=P%28A%5C%20or%5C%20B%29%20%3D%20P%28A%29%20%2B%20P%28B%29)
So, we have:
![P(x\le 4\ or x> 10) = P(x \le 4) + P(x > 10)](https://tex.z-dn.net/?f=P%28x%5Cle%204%5C%20or%20x%3E%2010%29%20%3D%20P%28x%20%5Cle%204%29%20%2B%20P%28x%20%3E%2010%29)
When
, we have: ![x = \{1,2,3,4\}](https://tex.z-dn.net/?f=x%20%3D%20%5C%7B1%2C2%2C3%2C4%5C%7D)
So:
![P(x \le 4) = \frac{4}{14}](https://tex.z-dn.net/?f=P%28x%20%5Cle%204%29%20%3D%20%5Cfrac%7B4%7D%7B14%7D)
Also:
When
, we have: ![x = \{11,12,13,14\}](https://tex.z-dn.net/?f=x%20%3D%20%5C%7B11%2C12%2C13%2C14%5C%7D)
So:
![P(x>10) =\frac{4}{14}](https://tex.z-dn.net/?f=P%28x%3E10%29%20%3D%5Cfrac%7B4%7D%7B14%7D)
becomes
![P(x\le 4\ or x> 10) = \frac{4}{14} + \frac{4}{14}](https://tex.z-dn.net/?f=P%28x%5Cle%204%5C%20or%20x%3E%2010%29%20%3D%20%5Cfrac%7B4%7D%7B14%7D%20%2B%20%5Cfrac%7B4%7D%7B14%7D)
![P(x\le 4\ or x> 10) = \frac{4+4}{14}](https://tex.z-dn.net/?f=P%28x%5Cle%204%5C%20or%20x%3E%2010%29%20%3D%20%5Cfrac%7B4%2B4%7D%7B14%7D)
![P(x\le 4\ or x> 10) = \frac{8}{14}](https://tex.z-dn.net/?f=P%28x%5Cle%204%5C%20or%20x%3E%2010%29%20%3D%20%5Cfrac%7B8%7D%7B14%7D)
![P(x\le 4\ or x> 10) = \frac{4}{7}](https://tex.z-dn.net/?f=P%28x%5Cle%204%5C%20or%20x%3E%2010%29%20%3D%20%5Cfrac%7B4%7D%7B7%7D)
![P(x\le 4\ or x> 10) = 0.5714](https://tex.z-dn.net/?f=P%28x%5Cle%204%5C%20or%20x%3E%2010%29%20%3D%200.5714)