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The length of a photograph is 6 inches less than little twice the width. The photograph is mounted in a frame that is 3 inches w
ide on all sides. If the area of the framed picture is 270 square inches, find the dimensions of the unframed photograph.
1 answer:
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Correct question:
A food company sells salmon to various customers. The mean weight of the salmon is 44 lb with a standard deviation of 3 lbs. The company ships them to restaurants in boxes of 9 salmon, to grocery stores in cartons of 16 salmon, and to discount outlet stores in pallets of 64 salmon. To forecast costs, the shipping department needs to estimate the standard deviation of the mean weight of the salmon in each type of shipment. Complete parts (a) and (b) below.
a. Find the standard deviations of the mean weight of the salmon in each type of shipment.
b. The distribution of the salmon weights turns out to be skewed to the high end. Would the distribution of shipping weights be better characterized by a Normal model for the boxes or pallets?
Answer:
Given:
Mean, u = 44
Sd = 3
The company ships in boxes of 9, cartons of 16 and pallets of 64.
a) For the standard deviations of the mean weight of the salmon in each type of shipment, lets use the formula:
i) For the standard deviation of the mean weight of salmon in boxes of 9, we have:
The standard deviation = 1
ii) For the standard deviation of the mean weight of salmon in cartons of 16, we have:
Standard deviation = 0.75
iii) For the standard deviation of the mean weight of salmon in pellets of 64, we have:
Standard deviation = 0.375
b) The distribution of shipping weights would be better characterized by a Normal model for the pallets, because regardless of the underlying distribution, the sampling distribution of the mean approaches the Normal model as the sample increases.
Answer:
Step-by-step explanation:
The domain of a function is all of the values that can be under that specific function. In this case, we're asking what values of
allow
to exist.
In order for square roots to exist, the quantity under the square root must be greater than or equal to , because you can't take the square root of a negative number. Therefore, we can write the following inequality to solve for
:
Solving this inequality, we get:
(Subtract
from both sides of the inequality to isolate
)
(Multiply both sides of the inequality by
to get rid of
's coefficient)
Hope this helps!