Answer:
The remainder is -2.
Step-by-step explanation:
According to the Polynomial Remainder Theorem, if we divide a polynomial P(x) by a binomial (<em>x</em> - <em>a</em>), then the remainder of the operation will be given by P(a).
Our polynomial is:

And we want to find the remainder when it's divided by the binomial:

We can rewrite our divisor as (<em>x</em> - (-1)). Hence, <em>a</em> = -1.
Then by the PRT, the remainder will be:

The remainder is -2.
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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5. terms are separated by + and - signs
Answer:
$190.35
Step-by-step explanation:
180 ⋅ 0.0575 = 10.35
Add 180 to 10.35
$190.35
(I could be wrong. Sorry if I am)
Hope I helped :)
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Answer:
B
Step-by-step explanation:
Probability of getting 9 or 11 = 2 /6 =1/3
Probability of getting tails in coin = 1/ 2
Probability of getting 9 or 11 AND tails in coin toss = 1/2 * 1/3
= 1/6