Answer:
z = 1/2
Step-by-step explanation:
Step 1: Write equation
22z + 6 - 10 = 6z + 4
Step 2: Solve for <em>z</em>
- Combine like terms: 22z - 4 = 6z + 4
- Subtract 6z on both sides: 16z - 4 = 4
- Add 4 to both sides: 16z = 8
- Divide both sides by 16: z = 8/16
- Simplify: z = 1/2
Step 3: Check
<em>Plug in z to verify it's a solution.</em>
22(1/2) + 6 - 10 = 6(1/2) + 4
11 - 4 = 3 + 4
7 = 7
Answer:
x = -4/45
Step-by-step explanation:
180x=2(30÷3)+17-5•11+2÷1
We need to simplify the right hand side. The first step is the parentheses
180x=2(10)+17-5•11+2÷1
Then multiply and divide, working left to right from the equals sign.
180x=20+17-5•11+2÷1
180x=20+17-55+2÷1
180x=20+17-55+2
Now we add and subtract working left to right from the equals sign.
180x=37-55+2
180x =-18+2
180x = -16
Divide each side by 180
180x/180 = -16/180
x = -4/45
The value of the quotient will result in a positive integer compared to the original two integers that started off as a negative integer
Answer:
d) Squared differences between actual and predicted Y values.
Step-by-step explanation:
Regression is called "least squares" regression line. The line takes the form = a + b*X where a and b are both constants. Value of Y and X is specific value of independent variable.Such formula could be used to generate values of given value X.
For example,
suppose a = 10 and b = 7. If X is 10, then predicted value for Y of 45 (from 10 + 5*7). It turns out that with any two variables X and Y. In other words, there exists one formula that will produce the best, or most accurate predictions for Y given X. Any other equation would not fit as well and would predict Y with more error. That equation is called the least squares regression equation.
It minimize the squared difference between actual and predicted value.
W = unknown number
7w - 8 = 3 (product of 7 and a number, w, subtract 8) is 3
7w = 11
w = 11/7