Which of the number(s) below are potential roots of the function?
1 answer:
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Susannah's data are illustration of measure of central tendencies
<u>(a) The mean</u>
To calculate the mean, she needs to divide the total number of turkey sandwiches sold, by the number of days.
The total is:
The number of days is:
So, the mean is:
Hence, the mean number of turkey sandwiches sold is 99.4
<u>(b) The median</u>
To calculate the median, she needs to arrange the data in ascending or descending order, then select the middle item.
In ascending order, we have: 73, 85, 88, 88, 99, 129, 134
The middle item is 88
So:
Hence, the median number of turkey sandwiches sold is 88
<u>(c) The mode</u>
This is the data that occurs most.
From the dataset, 88 appears twice (more than others).
So:
Hence, the mode number of turkey sandwiches sold is 88
<u>(d) The range</u>
This is the difference between the highest and least data
From the dataset,
The highest is 134, and the least is 73
So:
Hence, the range of turkey sandwiches sold is 61
The measure that would be most helpful is the median, because it is not affected by outliers.
Read more about measures of central tendencies at:
Answer:
Domain of the function is { x : x∈R, x>0 } or (0,∞).
Step-by-step explanation:
It is given that the dimensions of a rectangular piece of cardboard are
Length = 14 inch
Width = 10 inch
The box will be constructed by cutting out equal squares of side x at each corner and then folding up the sides. So the dimensions of the box are
Length = 14-2x inch
Breadth = 10- 2x inch
Height = x inch
The volume of cuboid box is
The volume function of the box is
The volume function is V=(14-2x)(10-2x)x.
It is a polynomial function and domain of a polynomial function is all real numbers.
Here, x represents the height of the box. So, value of x must be a positive real number.
Domain of the function is
Domain = { x : x∈R, x>0 }
It can be written as (0,∞).
Therefore, domain of the function is { x : x∈R, x>0 } or (0,∞).