For this case we have that the expression in its exact form is the same, that is:
If it is expressed in decimal form we have:
If we want equivalent expressions, we must first mention the following property of powers and roots:
![\sqrt [n] {a ^ m} = a ^ {\frac {m} {n}}](https://tex.z-dn.net/?f=%5Csqrt%20%5Bn%5D%20%7Ba%20%5E%20m%7D%20%3D%20a%20%5E%20%7B%5Cfrac%20%7Bm%7D%20%7Bn%7D%7D)
Then, we can rewrite the expression as:
Answer:
1. Irrational
2. Irrational
3. Rational
4. Rational
Answer:
a) 18 grapefruits
b) 6 grapefruits
Step-by-step explanation:
a) n = 14.4 / 0.80 = 18 grapefruits
b) n = (14.4 / 3) / 0.8 = 6 grapefruits
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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