A mattress store sells only king, queen and twin-size mattresses. Sales records at the store indicate that the number of queen-size mattresses sold is one-fourth the number of king and twin-size mattresses combined. Records also indicate that three times as many king-size mattresses are sold as twin-size mattresses. Calculate the probability that the next mattress sold is either king or queen-size.
Answers
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:
Final answer:
The probability that the next mattress sold is either king or queen-size is 1.
Explanation:
To calculate the probability of the next mattress sold being either king or queen-size, we need to consider the information given. Let's assign variables to represent the number of king, queen, and twin-size mattresses sold. Let K represent the number of king-size mattresses, Q represent the number of queen-size mattresses, and T represent the number of twin-size mattresses.
From the first piece of information, we know that Q = (K + T)/4 since the number of queen-size mattresses sold is one-fourth the number of king and twin-size mattresses combined.
From the second piece of information, we know that K = 3T since three times as many king-size mattresses are sold as twin-size mattresses.
We can substitute the second equation into the first equation to eliminate K and solve for Q in terms of T. We get Q = (3T + T)/4 = 4T/4 = T.
Therefore, the probability of the next mattress sold being either king or queen-size is the combined probability of selling a king or queen-size mattress. This is the probability of selling a king-size mattress plus the probability of selling a queen-size mattress. Considering T as the total number of mattresses sold, the probability is P(K or Q) = (3T/4T) + (T/4T) = 4T/4T = 1.
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Answers
Term
variable
Definition
a numerical factor of a term that has a
variable
a letter or symbol used to represent an
unknown quantity
a term without a variable
coefficient
constant
Definition
Term
a numerical factor of a term
that has a variable
variable
coefficient
a letter or symbol used to
represent an unknown quantity
a term without a variable
constant
Answers
Answer:
the correct ansewer is C
Step-by-step explanation:
i took the unit test on edge the other guy is wrong
98.6
98.7
98.5
98.0
98.2
98.0
99.0
98.0
98.8
The mean is °F.
(Round to the nearest hundredth as needed.)
Answers
The mean is the average median is the middle value of the data set while the mode is the highest frequency number thus mean median and mode are 98.39,98.35 and 98 respectively.
What are the mode and median?
Mode is the highest frequency number while the median is the middle value of a data set after writing in either an increasing or decreasing manner.
The increasing order of the given dataset,
98.0,98.0,98.0,98.1,98.2,98.5,98.6,98.7,98.8,99.0
Mean →
(98.0+98.0+98.0+98.1+98.2+98.5+98.6+98.7+98.8+99.0 )/10
⇒ 98.39
Median →
(98.2+98.5)/2 = 98.35
Mode →
The highest frequency of 98.
Hence "The mean is the average median is the middle value of the data set while the mode is the highest frequency number thus mean median and mode are 98.39,98.35 and 98 respectively".
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Answer:
Mean: 98.49
Median: 98.35
Mode: 98
Answers
Answer:
m= 1/2
b= (0,6)
Step-by-step explanation:
Slope is rise over run
The y intercept is when x=o or just look at the vertical line
Answers
Answers
Answer:
0
Step-by-step explanation:
Hope this helps