To fond the area need to be grassed, find the area of the yard and subtract the area of the pool/patio.
(3x - 5)(4x - 10) =
12x^2 - 30x - 20x + 50 = 12x^2 - 50x + 50 Area of yard
(x + 8)(x - 2) =
x^2 - 2x + 8x - 16 = x^2 + 6x - 16 Area of pool/patio
12x^2 - 50x + 50
- ( x^2 + 6x - 16)
---------------------------
11x^2 - 56x + 66 ft^2 LETTER D
Answer:
residual is the difference between what is plotted in your scatter plot at a specific point, and what the regression equation predicts "should be plotted" at this specific point. If the scatter plot and the regression equation "agree" on a y-value (no difference), the residual will be zero.
definition
Residual = Observed y-value - Predicted y-value
A residual is the difference between the observed y-value (from scatter plot) and the predicted y-value (from regression equation line).
It is the vertical distance from the actual plotted point to the point on the regression line.
You can think of a residual as how far the data "fall" from the regression line
(sometimes referred to as "observed error").
Linear associations are the most popular statistical relationships since they are easy to read and interpret. We will spend the majority of our time working with linear relationships, and residuals can tell us when we have an appropriate linear model.
When you look at your scatter plot, and you are unsure if the shape (curve) you chose for your regression equation will create the best model, a residual plot will help you make a decision as to whether the model you chose will, or will not, be an appropriate linear model.
A residual plot is a scatter plot that shows the residuals on the vertical axis and the independent variable on the horizontal axis. The plot will help you to decide on whether a linear model is appropriate for your data.
Appropriate linear model: when plots are randomly placed, abov
The slope is 4/3
Explanation:
To find slope you use the slope formula, which is rise/run, and shown in the picture attached.
So when you use your coordinates you will get: 20 - 8
---------- Which gives you 12/9,
15 - 6 and then when you
simplify that you get 4/3
Answer: $4.52
Step-by-step explanation:
From the question, sales tax rate is $8.25 per $100, this means that for every $100 item sold, $8.25 will be paid as sales tax.
Sales tax for 54.80 = x
Step 2: write the equation as;
8.25 = $100
Sales tax for $1 item will be (divide both sides by 100
$8. 25/ 100 = $0.0825
Step 3: determine the sales tax on $1 item, that is if sales tax $1 item = $0.0825
Sales tax for $54.80 item will be 0.0825 x 54.80
= $4.52
The sales person is making 3% so, we would simply multiply $1400 by .03
1400*.03
=$42
They made $42 dollars on a $1400 sale, pretty lousy if you ask me.