How many cubic feet of water can a 18 inch by 19 inch by 36 inch aquarium hold?
2 answers:
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Answer: a. Mean = 0.696364
b. Median = 0.64
c. Midrange = 0.895
d. There is no Mode
e. 2. The maximun data value is the most relevant statistic, because it is closest to the limit of 1.6W/kg and that cell should be avoided.
Step-by-step explanation:
a) Mean is an average number of the data set, calculated by the sum of all the value divided by the quantity of the set:
mean =
mean = 0.696364
b) Median is the middle number in the list of numbers. In this case, since there are 11 elements in the set, the middle number is:
sorted numbers of the data set:
0.22 0.24 0.29 0.35 0.54 0.64 0.75 0.81 1.02 1.23 1.57
median = 0.64
c) Midrange is another type of average number. It is calculated as:
midrange =
midrange =
midrange = 0.895
d) Mode is the number that appears most often in the list of numbers. For this data set, each number appears only one time, so there is no mode.
Mode = 0
e) According to the question, cell phone radiation is dangerous when it is higher than 1.6W/kg. The cell phone with the maximum data value (1.57 W/kg) should be avoided, since it is too close to the limit described.
So, the measures of center are not the most important statistic to be observed but the maximum data value.
Answer:
a) Demand function:
b) The rebate should be of $200, so the sale price becomes $300 per unit.
c) The rebate should be of $150, so the sale price becomes $350 per unit.
Step-by-step explanation:
a) In this case, we have a known point of the demand function (1000 units sold at $500), and the slope of a linear function (increase by 100 units fora decrease in $10).
We can express the demand function (linear) as:
To calculate the slope m, we use:
To calculate b, we use the known point and the calculated slope:
Then the demand function is:
b) The revenue can be expressed as:
To maximize, we can derive and equal to zero
The rebate should be of $200, so the sale price becomes $300 per unit.
c) If we take into account the cost, we have that
To maximize, we can derive and equal to zero
The rebate should be of $150, so the sale price becomes $350 per unit.