Answer:
It seems the question is incomplete as the two data sets implied from the question are not visible.
However, two data sets having identical measures of center have a difference.
Step-by-step explanation:
Let's consider these two data sets:
2, 2, 3, 5, 6, 6 and 1, 1, 1, 1, 1, 19
Both were contrived.
The most reliable among the measures of center is the mean. The mean of each is calculated by summing the data and dividing by the number of elements. In both sets, the mean is 4.
The data in the first set seem to be concentrated around the mean indeed. But for the second data set, one of them, 19, is obviously very far from the others and the mean. We need another measure to describe this: standard deviation.
Its formula is:
represents each data, 
is the mean and 
is the number of items. 
is the deviation from the mean of each data item.
For the first data set, 
For the second data set,
The low value of 
for the first set indicates that the items are all closer to the mean than for the second set.
Variance is the square of the standard deviation. It could also be used.
Answers:
- Exponential and increasing
- Exponential and decreasing
- Linear and decreasing
- Linear and increasing
- Exponential and increasing
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Explanation:
Problems 1, 2, and 5 are exponential functions of the form 
where b is the base of the exponent and 'a' is the starting term (when x=0).
If 0 < b < 1, then the exponential function decreases or decays. Perhaps a classic example would be to study how a certain element decays into something else. The exponential curve goes downhill when moving to the right.
If b > 1, then we have exponential growth or increase. Population models could be one example; though keep in mind that there is a carrying capacity at some point. The exponential curve goes uphill when moving to the right.
In problems 1 and 5, we have b = 2 and b = 1.1 respectively. We can see b > 1 leads to exponential growth. I recommend making either a graph or table of values to see what's going on.
Meanwhile, problem 2 has b = 0.8 to represent exponential decay of 20%. It loses 20% of its value each time x increases by 1.
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Problems 3 and 4 are linear functions of the form y = mx+b
m = slope
b = y intercept
This b value is not to be confused with the previously mentioned b value used with exponential functions. They're two different things. Unfortunately letters tend to get reused.
If m is positive, then the linear function is said to be increasing. The line goes uphill when moving to the right.
On the other hand if m is negative, then we go downhill while moving to the right. This line is decreasing.
Problem 3 has a negative slope, so it is decreasing. Problem 4 has a positive slope which is increasing.
8 are left handed bc 20% of its 40 is 0.2×40 =8
Answer:
23
Step-by-step explanation:
If it's lower than 5 keep it and go
Above 5 climb one number higher
Answer:
dh = 3 *dV / 130
Step-by-step explanation:
Given:
- volume of punch in bottle = 65 ounce
- volume of punch = v
- increase in height of punch level on dispenser = 1.5 in
Find:
- The change in height of punch in the dispenser in inches, Δh, in terms of the change in the volume of punch in the dispenser in ounces, Δv.
Solution:
We will assume a linear relationship between the increase in punch level dispenser and the increase in volume of dispenser.
h(v) = m*v + h
Where, m is change of height with respect to volume. Hence,
m = dh / dV = 1.5 / 65 = 3 / 130 in / ounce
Hence,
dh = 3 *dV / 130
