Answer:
154.92
Step-by-step explanation:
2014/13=154.92
The predicted number of wins for a team that averages 1.5 goals per game will be 17 according to the regression model.
From the table given, the linear regression model for the data can be expressed as :
- y = 14.02x - 3.64 ; where ;
- y = Predicted number of wins ;
- x = average number of goals per match ;
- slope = 14.02 ;
- Intercept = - 3.64
<u>The Number of wins for a team which averages 1.5 goals per match can be calculated thus</u> :
Average goals per match, x = 1.5
Substitute x = 1.5 into the equation :
y = 14.02(1.5) - 3.64
y = 17.39
y = 17 (nearest whole number)
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ANSWER
D.

EXPLANATION
The given function is

Comparing to the general form of a trigonometric sine function,


The amplitude is absolute value of A


The period is given by



is a shift to the right of 4 units.
and

is an upward shift of 9 units
Therefore the phase shift is (4,9).
The correct answer is D
Answer: (x, y) = (-x, -y)
Step-by-step explanation:
To solve this, you can match the coordinates of points on the triangles and choose the correct answer from there.
The highest point on the triangle, S, has coordinates of (3, 5).
The reflected triangle's point S has coordinates of (-3, -5).
Point Q on the triangle has coordinates of (1, 0)
Point Q on the reflected triangle has coordinates of (-1, 0).
Matching these two points and their reflections to the answers, the only answer that fulfills both points correctly is (x, y) = (-x, -y).