the mean of the commute time to work for a resident of a certain city is 28.8 minutes. assume the standard deviation of the comm
1 answer:
Answer:
The minimum percentage of the commuters in the city has a commute time within 2 standard deviations of the mean is 75%.
Step-by-step explanation:
We have no information about the shape of the distribution, so we use Chebyshev's Theorem to solve this question.
Chebyshev Theorem
At least 75% of the measures are within 2 standard deviations of the mean.
At least 89% of the measures are within 3 standard deviations of the mean.
An in general terms, the percentage of measures within k standard deviations of the mean is given by .
Applying the Theorem
The minimum percentage of the commuters in the city has a commute time within 2 standard deviations of the mean is 75%.
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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:
Answer:
No
Step-by-step explanation:
No
Because a linear function is the form as
the highest exponent is one
and the graph is a line in the case of
is a parabola, not a line
Solution:
<u>A few changes were made:</u>
- 4 as 4.00.
- 0.3 as 0.30
<u>New equation:</u>
- 4 + 0.3 + 0.09 = 4.00 + 0.30 + 0.09
<u>Solving the equation:</u>
- 4.00 + 0.30 + 0.09
- => 4.39 (Refer to image for work)
Correct option is B.
