÷Answer:
Standard Deviation = 176.5
Step-by-step explanation:
To calculate the standard deviation, calculate the mean score for the 4 standard deviation scores:
mean, m = Σx ÷ n
where Σx represents summation of each value = 162 + 153 + 317 + 413
= 1045
n = number of samples to be considered = 4
mean, m = 1045 ÷4
= 261.25
To calculate the standard deviation, use the formula below
SD =
where x = each value from the week lead time
m = mean = 261.25
n = the size = 4
The Standard deviation formula can be simplified further
when x = 162
= 49.625
when x = 153
= 23.125
when x = 317
= 27.875
when x = 413
= 75.875
Note that the above 4 equations can be lumped up into one giant equation by applying a big square root function instead of breaking it down
SD = 49.625 + 23.125 + 27.875 + 75.875
SD = 176.5
If n is Tim's age now:
n+7=3(n-19)
n+7=3n-57
n+64=3n
64=2n
n=32
Not sure if you needed to solve it, but I hope this helps anyway! :)
Answer:
27,736.5
Step-by-step explanation:
18,491 / (2/3)
When dividing by a fraction
flip it over and multiply
18,491 * 3/2
55,473/2
27,736.5
Answer:
<em>Point P has coordinates (7,9) (last choice)</em>
Step-by-step explanation:
We are given the endpoints A(2,4) B(8,10) and the point P lying on the segment AB with the condition that P partitions it in the ratio 5:1.
This means the distances AP, PB and AB follow the conditions:
AP+PB=AB
We can work with each coordinate separately. Suppose P has coordinates (x,y), thus:
Adding 5x and subtracting:
Dividing by 6:
Substituting:
x=7
Now for the y-axis:
Substituting:
y=9
Point P has coordinates (7,9) (last choice)