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Dimas [21]
3 years ago
15

Which of these is a prime number 1,11,21,51 ?

Mathematics
2 answers:
kow [346]3 years ago
8 0
11,,21,51 are all  prime numbers
avanturin [10]3 years ago
5 0
A prime number has exactly 2 different factors, 1 and itself.

11 is divisible only by 1 and 11.
11 is prime.

21 and 51 have a least three factors. They are not prime.
1 has only 1 factor. 1 is not prime.
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Step-by-step explanation:

We have 3 types of matress: queen size (Q), king size (K) and twin size (T).

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We know that the number of queen-size mattresses sold is one-fourth the number of king and twin-size mattresses combined. This can be expressed as:

P_Q=\dfrac{P_K+P_T}{4}\\\\\\4P_Q-P_K-P_T=0

We also know that three times as many king-size mattresses are sold as twin-size mattresses. We can express that as:

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Finally, we know that the sum of probablities has to be 1, or 100%.

P_Q+P_K+P_T=1

We can solve this by sustitution:

P_K=3P_T\\\\4P_Q=P_K+P_T=3P_T+P_T=4P_T\\\\P_Q=P_T\\\\\\P_Q+P_K+P_T=1\\\\P_T+3P_T+P_T=1\\\\5P_T=1\\\\P_T=0.2\\\\\\P_Q=P_T=0.2\\\\P_K=3P_T=3\cdot0.2=0.6

Now we know the probabilities of each of the matress types.

The probability that the next matress sold is either king or queen-size is:

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