A(-3, 4) Translate the triangle. Then enter the new coordinates. A'([?], [?] B'([1,01) C'([],[) B(0, 1) C(-4,1) < 6,-4>
1 answer:
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9514 1404 393
Answer:
342 mm²
Step-by-step explanation:
The triangle shown has a base of 9 mm and a height of 76 mm. Its area is ...
A = 1/2bh
A = (1/2)(9 mm)(76 mm) = 342 mm²
The triangle shown has an area of 342 mm².
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<em>Additional comment</em>
The other leg of the right triangle with one leg 76 mm and hypotenuse 100 mm will be about 65 mm. The base shown is 9 mm, so any triangle with the dimensions shown will be a fairly skinny obtuse triangle, not the acute triangle in the picture. (This makes us suspect an error: the 9 mm dimension maybe should be 90 mm.)
Answer:
The average number of service calls in a 15-minute period is of 14, with a standard deviation of 3.74.
Step-by-step explanation:
In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:
In which
x is the number of sucesses
e = 2.71828 is the Euler number
is the mean in the given interval. The variance is the same as the mean.
Average rate of 56 calls per hour:
This means that , in which n is the number of hours.
Find the average and standard deviation of the number of service calls in a 15-minute period.
15 minute is one fourth of a hour, which means that . So
The variance is also 14, which means that the standard deviation is
The average number of service calls in a 15-minute period is of 14, with a standard deviation of 3.74.