4a = 2b-7
(4 x 3) = 2b-7
12 + 7 = 2b (As sign changes over an equals)
19 = 2b
19/2 = b
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Consider the prime factorization of 20!.
The LCM of 1, 2, ..., 20 must contain all the primes less than 20 in its factorization, so
where 
is some integer not divisible by any of these primes.
Compare the factorizations of the remaining divisors of 20!, and check off any whose factorizations are already contained in the product of primes above.
- missing a factor of 2
- ✓
- missing a factor of 2²
- missing a factor of 3
- ✓
- missing a factor of 2
- ✓
- ✓
- missing a factor of 2³
- missing a factor of 3
- missing a factor of 2
From the divisors marked "missing", we add the necessary missing factors to the factorization of 
, so that
Then the LCM of 1, 2, 3, …, 20 is
The probability of drawing a white marble followed by a yellow marble, without replacing the white marble is 0.091
<h3>How to determine the probability?</h3>
The distribution of the marbles is given as:
White = 3
Yellow = 4
Green = 5
Total = 12
The probability of selecting a white marble is:
P(White) = 3/12
Now, there are 11 marbles left.
The probability of selecting a yellow marble is:
P(Yellow) = 4/11
The required probability is:
P = 3/12 * 4/11
Evaluate
P = 0.091
Hence, the probability of drawing a white marble followed by a yellow marble, without replacing the white marble is 0.091
Read more about probability at:
brainly.com/question/251701
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