Answer: $27.5
Step-by-step explanation:
From the question, we are informed that employee works 40 hours and earns $1,100, to calculate the amount that the employee earn per hour will be:
Amount earned = $1100
Number of hours worked = 40 hours
Amount earned per hour = $1100/40 = $27.5
X equals 80 degrees and y equals 130 degrees
Answer:
(x, y) = (2, 5)
Step-by-step explanation:
I find it easier to solve equations like this by solving for x' = 1/x and y' = 1/y. The equations then become ...
3x' -y' = 13/10
x' +2y' = 9/10
Adding twice the first equation to the second, we get ...
2(3x' -y') +(x' +2y') = 2(13/10) +(9/10)
7x' = 35/10 . . . . . . simplify
x' = 5/10 = 1/2 . . . . divide by 7
Using the first equation to find y', we have ...
y' = 3x' -13/10 = 3(5/10) -13/10 = 2/10 = 1/5
So, the solution is ...
x = 1/x' = 1/(1/2) = 2
y = 1/y' = 1/(1/5) = 5
(x, y) = (2, 5)
_____
The attached graph shows the original equations. There are two points of intersection of the curves, one at (0, 0). Of course, both equations are undefined at that point, so each graph will have a "hole" there.
Answer:
with a .95 probability, the sample mean will provide a margin of error 0.196
Step-by-step explanation:
margin of error (ME) from the mean can be calculated using the formula
ME=
where
- z is the corresponding statistic in the .95 confidence level (1.96)
- s is the population standard deviation (1 min.)
- N is the sample size (100)
ME=
=0.196
95% confidence interval for check-out time would be 3 ±0.196 min
The variables x and y vary inversely. When y is 5 x is 3, so when y is 15 x is 9.