The distance between the post office and the park on a map is 3.75 inches. Each quarter inch on the map represents 0.5 miles. Th
2 answers:
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Answer:
The coordinates are and
.
Step-by-step explanation:
First, we have to derive an expression for translation under the assumption that each point of XYZ experiments the same translation. Vectorially speaking, translation from X to X' is defined by:
(1)
Where is the vector translation.
If we know that and
, then the vector translation is:
Then, we determine the coordinates for Y' and Z':
The coordinates are and
.
Answer:
The selections are dependent.
Yes, they can be treated as independent (less than 5% of the population).
Step-by-step explanation:
Since the selections are made without replacement, each selection affects the outcome of the next selection and, therefore, the selections are dependent.
Although they are dependent, the selections can be treated as independent if the sample size is no more than 5% of the total population. In this case, the sample size is 1235 adults out of a population of 15,958,866 adults. The percentage represented by the sample is:
Thus the selections can be treated as independent for the purposes of calculations.