At x=2, y=4
At x=4, y=16
So the total change in y from x=2 to x=4 is 16-4=12
And since average rate of change = total change in y divided by total change in x within the same period, therefore the answer is 12/2 = 6
Hope that helps. Let me know if you have any questions.
Answer:
-1
Step-by-step explanation:
First, we need to work out the left-hand side.
- find g(2) → g(2) = 2 - 1 which is 1
- next, find f(1) → f(1) = 1³ which is 1
Now, we can work out the right hand side.
- find f(-1) → f(-1) = -1³ which is -1
- then, find g(-1) → g(-1) = -1 - 1 = -2
Finally we can work out the full sum: 1 + -2 = -1.
Hope this helps!
State tax = 2% of $215 = 0.02 x $215 = $4.30
city tax = 1% of $215 = 0.01 x $215 = $2.15
retirement fund = 3% of $215 = 0.03 x $215 = $6.45
Total deductions = $15.16 + $29.33 + $4.30 + $2.15 + $6.45 = $57.39
Net income = $215 - $57.39 = $157.61
Answer:
b) We are 90% confident that the mean salary of all CEOs in the electronics industry falls in the interval $139,048 to $154,144.
Step-by-step explanation:
Confidence interval:
Confidence level of x%
We build from a sample.
Between a and b.
Intepretation: We are x% sure that the population mean is between a and b.
In this question:
90%
45 CEO's
Between ($139,048, $154,144).
So
We are 90% sure that the mean salary of all CEO's falls within this interval.
The correct answer is:
b) We are 90% confident that the mean salary of all CEOs in the electronics industry falls in the interval $139,048 to $154,144.
