Answer: 4 times
Step-by-step explanation:
Answer: 259/260 or 0.99615 (depending on which answer format your teacher wants)
There are 10 numbers in the set {0, 1, 2, ..., 9}. There are 26 letters in the set {A, B, C, ..., Z}. Multiply those values: 10*26 = 260. So there are 260 ways to pick a number followed by a letter. One example is 7P.
There is only one way Matthew can get the correct answer, and there are 260 - 1 = 259 ways to get the wrong answer. We divide 259 over 260 to get the probability of getting the incorrect answer, which is 259/260.
If you need this fraction in decimal form, then use a calculator to find that 259/260 = 0.99615 approximately
To find Margos's average at the end of seven months, subtract the average drop in points per month from her initial grade average.
To find Margos's average at the end of seven months, we need to subtract the average drop in points per month from her initial grade average. Since her average dropped by an average of five-eighths of a point per month, we can write this as a rational number expression: 92 - (5/8 * 7). To evaluate this expression, we first multiply 5/8 * 7 = 35/8. Then we subtract this from 92: 92 - 35/8. To subtract these fractions, we need a common denominator: 92/1 - 35/8 = 736/8 - 35/8 = (736 - 35)/8 = 701/8.
So Margos's final average after seven months is 701/8 or 87.625.
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