Answer:
94.39
Step-by-step explanation:
A
The velocity is found by differentiating the given cubic.
x'(t) = 2t^3 - 15t^2 + 24t This is the distance
x'(t) = 6t^2 - 20t + 24 This is the velocity (first derivative)
x"(t) = 12t - 20 This is the acceleration (second derivative)
x'(2) = 6(2)^2 - 20*2 + 24
x'(2) = 24 - 40 + 24
x'(2) = 48 - 40
x'(2) = 8 units per second.
x"(2) = 12(2) - 20
x"(2) = 24 - 20
x"(2) = 4 units per second^2
B
at t = 2 the acceleration is positive. That's a pretty good indication that the velocity is increasing.
C
When x(t) is minus, then the particle is moving left.
At t = 0 the object is not moving (x(t) = 0)
Any value less than 0 and the object is moving left. Try a couple of values.
x(-1) = 2(-1)^3 - 15(-1)^2 +24(-1) Whatever that is is minus.
t < 0 will make the object move left.
Answer:f= 2/3x+1/3
Step-by-step explanation:
divide both sides by 3 to get the answer
Answer:
A) 8%
Step-by-step explanation:
A confidence interval of proportions has an upper end and a lower end.
The margin of error is the difference between these points divided by two. Also, it is the upper end subtracted by the estimated proportion, or the estimated proportion subtracted by the lower end.
In this problem, we have that:
Upper end: 0.68
Lower end: 0.52
Margin of error
![M = \frac{0.68 - 0.52}{2} = 0.08](https://tex.z-dn.net/?f=M%20%3D%20%5Cfrac%7B0.68%20-%200.52%7D%7B2%7D%20%3D%200.08)
The margin of error is 8%.
So the correct answer is:
A) 8%