Answer:
slope is 3
Step-by-step explanation:
Slope = 
change in y = (13-7), (19-13), (25-19), (31-25)
change in y = 6
Change in x = (4-2), (6-4), (8-6), (10-8)
Change in x = 2
Therefore slope = 
Slope = 3
Answer:
The standard deviation of number of hours worked per week for these workers is 3.91.
Step-by-step explanation:
Problems of normally distributed samples can be solved using the z-score formula.
In a set with mean
and standard deviation
, the zscore of a measure X is given by

After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X. Subtracting 1 by the pvalue, we This p-value is the probability that the value of the measure is greater than X.
In this problem we have that:
The average number of hours worked per week is 43.4, so
.
Suppose 12% of these workers work more than 48 hours. Based on this percentage, what is the standard deviation of number of hours worked per week for these workers.
This means that the Z score of
has a pvalue of 0.88. This is Z between 1.17 and 1.18. So we use
.





The standard deviation of number of hours worked per week for these workers is 3.91.
Answer:

Step-by-step explanation:
=3x^4/x^16
bring "x^4" to the bottom to subtract it with x^16
3/x^16*x^-4
3/x^12
hope this helps!
Answer:
Please use " ^ " for exponentiation: x^2 + 2x + 8 ≤ 0.
Let's solve this by completing the square:
x^2 + 2x + 8 ≤ 0 => x^2 + 2x + 1^2 - 1^2 + 8 ≤ 0. Continuing this rewrite:
(x + 1)^2 + 7 ≤ 0
Taking the sqrt of both sides: (x + 1)^2 = i*sqrt(7)
Then the solutions are x = -1 + i√7 and x = -1 - i√7
There's something really wrong here. I've graphed your function, x^2 + 2x + 8, and can see from the graph that there are no real roots, but only complex roots. Please double-check to ensure that you've copied down this problem correctly.
Answer: $6,000
Step-by-step explanation: If set up correctly, the value of the car at the end of 2006 times 0.6 (because the car is losing 0.4 of its value, so it keeps 0.6 of its value) should get you the value of the car at the end of 2007.
The equation should look like this:
(value of the car at the end of 2006) x 0.6 = (value of the car at the end of 2007)
Then you substitute: (value at the end of 2006) x 0.6 = 3600
Then divide: (value at the end of 2006) = 0.6 ÷ 3600
Then substitute again: (value at the end of 2006) = 6,000
Hope this helped you! Feel free to ask me any questions!