Answer:
The sample standard deviation of the 14 measurements is 3.93
Step-by-step explanation:
The standard deviation = √(variance)
The standard deviation is the square root of variance. And variance is an average of the squared deviations from the mean.
Mathematically,
Standard deviation = σ = √[Σ(x - xbar)²/N]
x = each variable
xbar = mean
N = number of variables
For 12 variables,
N = 12
σ = 4.25
xbar = 38
Σ(x - xbar)² = sum of the square of all deviations; let it be equal to D
4.25 = √[Σ(x - xbar)²/12]
4.25 =√(D/12)
4.25² = D/12
D = 216.75.
For 14 measurements,
N = 14
The mean is going to still be 38, because the two new measurements are each 38.
xbar = 38
And the new additions to the sum of deviations, will be (38 - 38)² twice, that is, 0.
Standard deviation for 14 measurements
Standard deviation = σ = √[Σ(x - xbar)²/N]
σ = √(216.75/14) = 3.93
<u>Answer:</u>
$165.60 overtime money only
$736 regular time only
added together (gross income)
$901.60
<u>Step-by-step explanation:</u>
- 46hrs
- 18.40 an hr
- hrs <em>over</em> 40 = overtime= *1.5
To figure out if there is any overtime here, we <em>subtract</em>.
46-40= 6hrs of overtime
To figure out the amount of cash gained for regular time, we <em>multiply.</em>
40*18.40 = 736
----------------
We need to know how much money is paid per overtime hour.
18.40*1.5 = 27.60
To figure out the amount of cash gained during overtime, we <em>multiply.</em>
6*27.60 = 165.60
<em>add</em> for gross income (total earnings)
165.60+736 = 901.60
Answer:
-3
Step-by-step explanation:
