1 in 4 adults are on a diet. in a random sample of 10 adults, what is the probability that the number on a diet is exactly 4
1 answer:
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Answer:
D
Step-by-step explanation:
We can solve this particular problem entirely by elimination. First, notice, that our inequality simply says the left side is <em>less than</em> the right, not <em>less than or equal to</em>. If it were less than or equal to the value on the right, it would include all of the points on the boundary line, and we'd indicate this with a solid line. In our situation, the left side is never <em>equal</em> to the right, so we'd use a dotted line to draw our boundary line. Only B and D fit the bill.
So between B and D, which one represents ? Well, setting the two sides equal to each other, we'd get the equation for a line. If (x, y) is a point on that line, then, what does mean when we say the side with y on it is less than the side with the x on it? It means we'd have to <em>decrease </em>the y value of a point on the line, which would give us a point <em>below </em>the line. So our graph has to show <em>every point below the line 4y + 8 = -3x</em>, and the only answer that represents this situation is D