Indicate the answer choice that best completes the statement or answers the question.
2 answers:
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Answer:
The probability that the next mattress sold is either king or queen-size is P=0.8.
Step-by-step explanation:
We have 3 types of matress: queen size (Q), king size (K) and twin size (T).
We will treat the probability as the proportion (or relative frequency) of sales of each type of matress.
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:
We also know that three times as many king-size mattresses are sold as twin-size mattresses. We can express that as:
Finally, we know that the sum of probablities has to be 1, or 100%.
We can solve this by sustitution:
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:
An aritmetic sequence is like this
where a1=first term and d=common difference
geometric is
where a1=first term and r=common ratio
can it be both aritmetic and geometric
hmm, that means that the starting terms should be the same
therfor we need to solve
what values of d and r make all natural numbers of n true?
are there values that make all natural numbers for n true?
when n=1, then d(1-1)=0 and r^(1-1)=1, so already they are not equal
the answer is no, a sequence cannot be both aritmetic and geometric
geometric is
can it be both aritmetic and geometric
hmm, that means that the starting terms should be the same
therfor we need to solve
what values of d and r make all natural numbers of n true?
are there values that make all natural numbers for n true?
when n=1, then d(1-1)=0 and r^(1-1)=1, so already they are not equal
the answer is no, a sequence cannot be both aritmetic and geometric