Answer: The loser's card shows 6.
Explanation: Let's start by naming the first student A and the second student B.
Since the product of A and B are either 12, 15, or 18, let's list every single possibility, the first number being A's number and the second number being B's number.
1 12
1 15
1 18
2 6
2 9
3 4
3 5
3 6
4 3
5 3
6 2
6 3
9 2
12 1
15 1
18 1
Now, the information says that A doesn't know what B has, so we can immediately cross off all of the combinations that have the integer appearing once and once ONLY off, because if it happened once only, A would know of it straight away. Now, our sample space becomes much smaller.
1 12
1 15
1 18
2 6
2 9
3 4
3 5
3 6
6 2
6 3
Using this same logic, we know that we can cross off all of the digits that occur only once in B's column.
2 6
3 6
Now, A definitely knows what number B has because there is only one number left in B. Hence, we can conclude that the loser, B, has the integer 6.
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A number that is greater than 714,587 is 1,000,000
Given table
______
x y
______
2.4 9
7.2 28
7 24
8.3 35
3.1 9
7.2 30
9 32
_________
So, the coordinates on the graph (2.4, 9), (7.2, 28), (7, 24), (8.3, 35), (3.1 , 9), ( 7.2, 30), (9, 32).
The first graph represents the line of best fit.
The definition of line of best fit " A line of best fit is a straight line that best represents the data on a scatter plot. This line may pass through some of the points, none of the points, or all of the points.".
<h3>Note: Most of the points should be as closer as possible to the drawn line. </h3>
