Answer:
f(x) = 3x⁴ -
- 17x + 
Step-by-step explanation:
To find f'(x), we will follow the steps below:
We will start by integrating both-side of the equation
∫f'(x) = ∫(12x^3 - 2x^2 - 17)dx
f(x) = 3x⁴ -
- 17x + C
Then we go ahead and find C
f(1) = 8
so we will replace x by 1 in the above equation and solve for c
f(1) = 3(1)⁴ -
- 17(1) + C
8 = 3 -
- 17 + C
C =8 - 3 + 17 + 
C = 22 + 
C =
C = 
f(x) = 3x⁴ -
- 17x + 
Answer:
The 80% confidence interval for the mean number of words a third grader can read per minute is between 40.4 wpm and 40.8 wpm.
Step-by-step explanation:
We have that to find our
level, that is the subtraction of 1 by the confidence interval divided by 2. So:

Now, we have to find z in the Ztable as such z has a pvalue of
.
So it is z with a pvalue of
, so 
Now, find M as such

In which
is the standard deviation of the population and n is the size of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 40.6 - 0.2 = 40.4 words per minute.
The upper end of the interval is the sample mean added to M. So it is 40.6 + 0.2 = 40.8 words per minute.
The 80% confidence interval for the mean number of words a third grader can read per minute is between 40.4 wpm and 40.8 wpm.
For this problem your equation will be x+(x+1)+(x+2)=537
Multiply and Simplify:
x+x+1+x+2=537
3x+3=537
Subtract 3 from both sides:
3x+3-3=537-3
3x=534
Divide both sides by 3:
3x/3=537/3
x=179
179 is the middle number so: 178+179+180=537
180 is the third number.
The answer is 40, take 21 from the last equation solved and add 8 to it then add 11
Answer:
She bought six first class tickets.
Step-by-step explanation:
360 × 4 = 1,440
1140 × 6 = 6,840
1,440 + 6,840 = 8,280
hope this helps :)