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andrey2020 [161]
3 years ago
8

There are 10 true/false questions on a test. you do not know the answer to 4 of the questions, so you guess what is the probabil

ity that you will get all 4 answers right?
please explain how you got your answer :(
Mathematics
1 answer:
ra1l [238]3 years ago
7 0

Answer:

  1/16

Step-by-step explanation:

Of the 16 ways you can answer the 4 questions, only one of those ways has all answers correct.

Each question can be answered 2 ways, and the answer to each one is independent of the answer to any other. So, there are 2·2·2·2 = 2^4 = 16 ways to answer the 4 questions.

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Let's begin by calling Sarah's age now as X. As Ralph is 3 times as old as Sarah, X times 3 = 3X. Hence, Ralph's age is 3X. In six years, Ralph will be twice as old as Sarah. To calculate six years from now, add 6 to X for Sarah, and 6 to 3X for Ralph. As Ralph is twice as old as Sarah and we want to find the difference between the ages to calculate X, multiply X+6 by 2. You'll get 2X+12. Therefore, 2X+12=3X+6. Deduct 6 from 3X+6 as we want to isolate the variable. Because you did that to one side, you have to deduct 6 from 2X+12. Hence, now you have 2X+6=3X. X=6. Ralph's age is 3X, so 6 times 3 is 18. Ralph is 18 years old. 
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