A hat contains four balls. The balls are numbered 2, 4, 4, and 7. One ball is randomly selected and
1 answer:
Answer:
- If the sum is 6, a small cone will be ordered.
- If the sum is 8 or 9, a medium cone will be ordered.
- If the sum is 11, a large cone will be ordered.
Step-by-step explanation:
The table below shows the possible outcomes from drawing two balls. We see the relative frequencies to be ...
6: 4
8: 2
9: 2
11: 4
To make a fair decision, we want the relative frequencies of the decision possibilities to be the same. If we combine sums 8 and 9 to one category (medium cone, for example), then 6, (8 or 9), and 11 will all have the same relative frequency: 4.
The appropriate "fair decision" choice is ...
6: small cone
8 or 9: medium cone
11: large cone
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As we have a line, the function will be given by the expression:
F(X) = AX + B
where
<em>A = ΔY/ΔX</em>
<em>B = where the line intersects the Y axis</em>
Looking at the graph we have already concluded that
B = - 3
A = ΔY/ΔX
A = (5 - 3)/(4 - 3) see attached picture
A = 2
So,
F(X) = AX + B
<h2>F(X) = 2X - 3</h2>