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If x is the number of prime numbers between 0 and 100 and Y is the prime numbers between 90 and 100, then what is (y-2x) equal to?
a. 24
b. 25
c. 22
d. 47?
Most Upvoted Answer
If x is the number of prime numbers between 0 and 100 and Y is the pri...
Counting Prime Numbers
To solve the problem, we first need to determine the values of x and y.
Finding x: Prime Numbers between 0 and 100
- The prime numbers between 0 and 100 are:
- 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97
- Count these numbers:
- There are 25 prime numbers.
Thus, x = 25.
Finding y: Prime Numbers between 90 and 100
- The prime numbers in this range are:
- 91 (not prime), 92 (not prime), 93 (not prime), 94 (not prime), 95 (not prime), 96 (not prime), 97 (prime), 98 (not prime), 99 (not prime), 100 (not prime)
- The only prime number here is 97.
Thus, y = 1.
Calculating (y - 2x)
- Now we compute (y - 2x):
- Substitute the values: (1 - 2 * 25) = (1 - 50) = -49.
Conclusion
The final value of (y - 2x) is -49. None of the given options (a. 24, b. 25, c. 22, d. 47) are correct. If there's been an oversight, please double-check the range or context of the problem.
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If x is the number of prime numbers between 0 and 100 and Y is the prime numbers between 90 and 100, then what is (y-2x) equal to?a. 24b. 25c. 22d. 47?
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