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Answer:
<h2>D (−4, 0)</h2>Step-by-step explanation:
The image attached shows all given coordinates. There you can observe that point D must be placed at (-4, 0) to enclose a rectangle.
We can also demonstrate this by finding that sides AD and BC are congruent.
<h3>Side AD.</h3>As you can observe, sides AD and BC are congruent. Therefore, point D must be at (-4,0), to enclose a rectangle.
The "explanation" for the problem has a typo in it. There are 11 possible ice cream/yogurt flavors to choose from, regardless of whether any are low-fat, so the total number of ways of choosing any 2 from the selection is
In particular we want to count the number of ways of picking 1 ice cream and 1 yogurt flavor from the low-fat variety. There are 6 total choices that are not low-fat of which we choose 0, 3 choices of low-fat ice cream of which we choose 1, and 2 choices of low-fat yogurt of which we also choose 1. In terms of the binomial coefficient, this is
So the probability of getting such a combination is
.
In particular we want to count the number of ways of picking 1 ice cream and 1 yogurt flavor from the low-fat variety. There are 6 total choices that are not low-fat of which we choose 0, 3 choices of low-fat ice cream of which we choose 1, and 2 choices of low-fat yogurt of which we also choose 1. In terms of the binomial coefficient, this is
So the probability of getting such a combination is