Answer:
The vertex is:
Step-by-step explanation:
First solve the equation for the variable y
Add 4y on both sides of the equation
Notice that now the equation has the general form of a parabola
In this case
Add and subtract
on the right side of the equation
Factor the expression that is inside the parentheses
Divide both sides of the equality between 4
For an equation of the form
the vertex is: (h, k)
In this case
the vertex is:
Answer:
48 and 4
Step-by-step explanation:
If we assume that to be the random variable that proceed the normal distribution with mean
and a standard deviation
Given that:
mean =48
standard deviation = 16
sample size = 16
The population mean is same as the population mean in sampling distribution that is 48.
The standard deviation of the sampling distribution is therefore calculated as:
standard deviation =
standard deviation =
standard deviation =
standard deviation = 4
Thus; the mean and the standard deviation of the sampling distribution is 48 and 4
Answer and Step-by-step explanation:
Variance is the measurement of the spread bewteen the numbers of the data set and can be calculated by the formula:
σ² = ∑(x - ⁻x)² / n
1) With the data, find its mean (⁻x) by adding all the values and dividing the sum by total number of elements the data has;
2) Subtract each value of the data to the mean;
3) Square the result of the subtractions;
4) Add the squares;
5) Divide the sum by the total number of elements of the set;
6) The result is the Variance (σ²);
Standard Deviation is the measure of how far the values of the data set are from the mean and it is the square root of Variance:
σ =
So, to calculate standard deviation, you just take the square root of the variance.