Answer:
<em>The probability that it is grape juice, given that the juice is not sugar free is </em><em>0.769 or 76.9%</em>
Step-by-step explanation:
A cooler has 12 apple juices and 15 grape juices. So total 27 juices are there.
Out of 12 apple juices, 9 of the apple juices are sugar free, so 3 are not sugar free.
Out of 15 grape juices, 5 of the grape juices are sugar free, so 10 are not sugar free. So,
Putting the values,
Given:
The graph of a quadratic function passes through the points (5,31) (3,11) (0,11).
To find:
The equation of the quadratic function.
Solution:
A quadratic function is defined as:
...(i)
It is passes through the point (0,11). So, substitute in (i).
Putting in (i), we get
...(ii)
The quadratic function passes through the point (5,31). So, substitute in (ii).
Divide both sides by 5.
...(iii)
The quadratic function passes through the point (3,11). So, substitute in (ii).
Divide both sides by 3.
...(iv)
Subtracting (iv) from (iii), we get
Putting in (iv), we get
Putting in (ii), we get
Therefore, the required quadratic equation is .