Answer:
The hourly wage is $8.55 per hour
Step-by-step explanation:
Step 1: Determine the expression for the gross pay
Total gross pay=(Unit rate per hour×number of hours(≤40))+(Overtime rate×number of overtime hours)
where;
Total gross pay=$380.48
Unit rate per hour=x
Number of hours=40 hours
Overtime rate=x×(1 1/2)=1.5 x
Number of overtime hours=3 hours
Step 2: Replace to solve for hourly wage
380.48=(x×40)+(1.5 x)×3
40 x+4.5 x=380.48
44.5 x=380.48
x=380.48/44.5
x=8.55
The hourly wage is $8.55 per hour
Answer:
Part a)
Mean: 13155.6
Mode:None
Median: 12700
Step-by-step explanation:
12700 : 1
15478: 2
12675: 3
11850: 4
13075: 5
Mean :

Mode:
All values are distinct, therefore there is no mode. A mode is value which occurs most frequently.
Median:
Arrange the values in ascending order:
11850 , 12675, 12700, 12075, 15478
The mid value is median: 12700
Part b)
It depends upon the data. In this question the best way to predict how many miles Gina will drive in the next years is by using Median of the data.
The reason is that there is a potential outlier in the data i.e 15478. In case of outlier median tends to give better predictions.
Answer:
4. (6,0)
Step-by-step explanation:
Plug the points into the equation.
6+3(0)=6
6+0=6
6=6
In a typical 30-60-90 triangle (which happens to be a right triangle, by the way), the sides, in increasing order, would be multiples of 1, sqrt(3) and 2.
Here, sqrt(3) is the longer leg (it's longer than 1).
Thus, the ratio of the length of the longer leg to the length of the hypotenuse
is sqrt(3)
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