Whats the inverse for F(x) = 2x^2
1 answer:
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Answer:
<em>Learning Objective</em>: Use the mean and range to <u>compare</u> the spread and averages.
a) Sarah Mean = 70.9, Katie Mean = 78.9
b) Sarah Range = 15, Katie Range = 25
c) Sentences
- The <u>mean</u> shows, on average, Sarah was 8 seconds quicker than Katie.
- The <u>range</u> shows that Sarah was more consistent with her times. Katie had a larger spread of times which shows she was less consistent.
Step-by-step explanation:
Given:
Sarah's Data Set:
- 79, 70, 68, 75, 69, 64, 69, 75, 64, 76
Katie's Data Set:
- 79, 79, 76, 81, 89, 76, 64, 85, 82, 78
To Find:
- The mean and range of both data sets separately.
Work:
The mean of a data set is commonly known as the average. You find the mean by taking the sum of all the data values and dividing that sum by the total number of data values. The formula for the mean of a population is .
The formula for the mean of a sample is .
Both of these formulas use the same mathematical process: find the sum of the data values and divide by the total. For the data values given above, the solution is:
Therefore, the mean of Sarah's data set is 70.9.
For Katie's Data Set, .
Therefore, the mean of Katie's data set is 78.9.
To fill in the summary, we have to use the data we just calculated.
That summary can be found in the answer section.
Answer:
Step-by-step explanation:
Function representing the bacterial growth has been given as,
a). Here 1200 represents the initial number of bacteria taken for the study (1).
b). 1.8 represents the growth factor by which the population of the bacteria is multiplying.
c). Second study is modeled by the function given as,
Here, initial population of bacteria = 1000
Difference in 1200 and 1000 in two studies means → Second study was conducted on 1000 bacteria while in study (1) number of bacteria were 1200.