Answer:
1. Second option. Value of the first column is less than the second column's value
2. Right by 4 units
3. (-1, -6)
4. Function 1 and 2 have the same maximum
5. 15
Step-by-step explanation:
1. look at the photo
2. look at the photo
3. look at the photo
4. I used the formula -b/2a to find the x-value of the vertex. I got 0 (there is no b) and then I subbed it into the function and y = 9. Hence the vertex of the first function is (0,9) which is the same as the second function
5. The vertex of the f(x) is (-3, -3) and the vertex of g(x) is (3, 12). To find the difference you would do 12 - (-3), which would become 12 + 3 = 15
Answer:
R - chart
Step-by-step explanation:
Range chart (R chart) is a control chart used for processes with two or more subgroups to determine if a process is stable or not. It monitors the mean and range of a normally distributed variable simultaneously collected at regular intervals during a given time. It is used when measuring small subgroups between two and ten at regular intervals from a process. Iy is a;so used for constant subgroups.
Answer:
Step-by-step explanation:
Given
---- the average
-- standard deviation
Required
The 1st to 3rd quartile
Since the distribution is normal, then:
i.e.
So, we have:
Rewrite Median as Q2
To solve for Q1 and Q3, we use the following formula
Multiply both sides by 2
Substitute
Also, we have:
----- quadrants are equidistant
Rewrite as:
Substitute:
Make Q3 the subject
Substitute in
Collect like terms
Divide by 2
Substitute in
Divide the 1st equation by 2:
Divide the 2nd equation by 3:
Therefore, when we subtract the exact the 1st equation by the 2nd equation:
Substituting back into the 2nd equation will give:
If you would like to know the value of x in the solution to the system of equations, you can find this using the following steps:
6x + 3y = 13
3x - y = 4 ... y = 3x - 4
___________
<span>6x + 3y = 13
</span>6x + 3 * (3x - 4) = 13
6x + 9x - 12 = 13
15x = 13 + 12
15x = 25
x = 25/15
x = 5/3
The correct result would be 5/3.