We have a negative relationship between number of drinks consumed and number of marks in a driving test. One individual scores 3
1 answer:
Answer:
Driver 1 score: 9
Driver 2 score: 3
Step-by-step explanation:
We are given the following in the question:
The number of marks scored on a driving test are y(x) is a dependent variable and the number of drinks taken by the driver is the independent variable(x).
Slope, m = -3
y-intercept,c = 18
Then, we can write the regression equation as:
Driver 1 consumed 3 drinks.
We put x = 3 in the regression equation.
Thus, the predicted driving 1 score for driver 1 is
Driver 1 predicted score is 9.
Driver 2 consumed 5 drinks.
We put x = 5 in the regression equation.
Thus, the predicted driving 2 score for driver 2 is
Driver 2 predicted score is 3.
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Using cross multiplication:
Convert a mixed number to a fraction:
Answer:
a). Yes. Area will be less than 100 square in.
b). Area of octagon = 82 in²
Step-by-step explanation:
From the picture attached,
a). Octagon is inscribed in a square having one side = 10 inches.
Since, octagon is obtained by cutting off the four equal corners of the square,
Area of octagon will be less than the area of the square.
Area of square = (side)²
= 10²
= 100 in²
Therefore, area of octagon will be less than 100 in²
b). Since, corner cut off from the square are equal in shape and area,
Area of one corner (right angle triangle) =
=
= 4.5 in²
Area of 4 corners = 4.5 × 4 = 18 in²
Area of octagon = Area of square - Area of 4 corners removed
= 100 - 18
= 82 in²
