Answer:
She is paid $6.25.hour at the concession and $8.50 as a lifeguard.
Step-by-step explanation:
We know:
18 hours as a lifeguard
12 hours at concession
Total earned = $228
18L + 12C = 228
Then:
24 hours as a lifeguard
8 hours at concession
Total earned = $254
24L + 8C = 254
Move one equation around to get one variable by itself: in this case we can solve for L:
18L + 12C = 228
18L = 228 - 12C
L = (228/18) - (12/18)C
Plug in for L:
24((228/18) - (12/18)C) + 8C = 254
Solve for C:
C = 6.25
Now that we know C, plug in value for C and solve for L:
18L + 12(6.25) = 228
L = 8.5
So she is paid $6.25.hour at the concession and $8.50 as a lifeguard.
Answer:
a)
Mean = sum of all numbers in dataset / total number in dataset
Mean = 8130/15 = 542
Median:
The median is also the number that is halfway into the set.
For median, we need to sort the data and then find the middle number which in our case is 546. Below is the sorted data
486 516 523 523 529 534 538 546 548 551 552 558 566 574 586
Standard Deviation (SD). Here X represents dataset and N= count of numbers in data
As per the SD formula, which is Sqrt ( sum (X_i - Meanx(X))/(N-1))
SD= 25.082
2) Formula for coefficient of skewness using Pearson's method (using median) is,
SK = 3* ( Mean (X) - Median(X))/(Standard Deviation) = 3*(542-546)/25.082 = -0.325
3) coefficient of skewness using the software method is also same which is -0.325
24% of the cars were travelling above the speed limit.
Step-by-step explanation:
Given,
Total cars monitored = 25
Cars traveling above the speed limit = 6
Percent of cars traveling above speed limit = 
Percent of cars = 
24% of the cars were travelling above the speed limit.
Keywords: percentage, division
Learn more about division at:
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