Answer:
Step-by-step explanation:
First we can determine the x value of our vertex via the equation:
Note that in general a quadratic equation is such that:
In this case a,b and c are the coefficients and so a=1, b=6 and c=13.
Therefore we can determine the x component of the vertex by plugging in the values known and so:
Now we can determine the y-component of our vertex by plugging in the x-component to the equation and so:
Therefore our vertex is (-3,4). Now in vertex our x component determines is the axis of symmetry so the equation for axis of symmetry is:
x=-3
Similarly, the y-component of our vertex is the minimum or maximum. In this case it is the minimum you can determine this because a is positive meaning that the parabola will point up, and so the equation for the minimum is:
y=4
The range of the formula is the smallest y-value meaning the minimum y=4 and all real numbers that are more than 4, mathematically:
Range = All real numbers greater than or equal to 4.
The data are bunched towards the higher values above the mean, but spread out to values below the mean. Therefore the median provides a better description of the center.
Here we have one large triangle with two smaller triangles drawn inside. The two smaller triangles are similar.
Thus, a/12 = 12/16, or a/12 = 3/4, or 4a=36, or a = 9.
Find b in the same way: b/20 = 9/12 (and so on).
These intervals are measured by the x-values. Additionally, intervals of increase and decrease are always express with parentheses in interval notation. Therefore, the decreasing interval is (-2, 0)U(1, 3) and the increasing interval is (0, 1).
Hope this helps!
Answer:
0.015 is the approximate probability that the mean salary of the 100 players was less than $3.0 million
Step-by-step explanation:
We are given the following information in the question:
Mean, μ =$3.26 million
Standard Deviation, σ = $1.2 million 100
We assume that the distribution of salaries is a bell shaped distribution that is a normal distribution.
Formula:
Standard error due to sampling =
P(mean salary of the 100 players was less than $3.0 million)
Calculating the value from the standard normal table we have,
0.015 is the approximate probability that the mean salary of the 100 players was less than $3.0 million
