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Answer:
10, 12, 14, 16
Step-by-step explanation:
Given: Four consecutive even integers such that seven times the first exceeds their sum by 18.
Lets assume the first number be "x".
As it is even integers
∴ Second consecutive number will be
Third consecutive number will be
Fourth consecutive number will be
Now, as given seven times the first exceeds their sum by 18.
∴
solving the equation to find the number.
⇒
Opening parenthesis
⇒
subtracting both side by 4x
⇒
Dividing both side by 3
∴ x= 10.
Hence, subtituting the value x to find four consecutive even integers.
First number is 10
Second consecutive number will be = 12
Third consecutive number will be = 14
Fourth consecutive number will be = 16
∴ Four consecutive even integers are 10,12,14,16.
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: