P(t) = 40(2)^(kt)
<span>when t=10, (1990), N = 55 </span>
<span>55 = 40(2)^(10k) </span>
<span>1.25 = 2^(10k) </span>
<span>take the ln of both sides, hope you remember your log rules </span>
<span>10k = ln 1.25/ln 2 </span>
<span>10k = .32193 </span>
<span>k = .032193 </span>
<span>so P(t) = 40(2)^(.032193t) </span>
<span>in 2000, t = 20 </span>
<span>P(20) = 40(2)^(.032193(20)) </span>
<span>= 62.5 million </span>
<span>for the formula </span>
<span>P(t) = a(2)^(t/d), d = the doubling time </span>
<span>so changing .032193t to t/d </span>
<span>= .032193t </span>
<span>= t/31.06 </span>
<span>so the doubling time is 31.06 </span>
<span>another way would be to set </span>
<span>80 = 40(2)^(.032193t) </span>
<span>2 = (2)^(.032193t) </span>
<span>.032193t = ln 2/ln 2 = 1 </span>
<span>t = 31.06</span>
The MOST accurate definition of standard deviation is the mean absolute deviation of the sum of the squared deviation from the average. Option 4
<h3>Definition of standard deviation</h3>
Standard deviation can be defined as a statistic tool that measures the dispersion of a dataset in relation to its mean and is calculated as the square root of the available variance of the set.
It is calculated as the square root of the given variance.
Thus, the MOST accurate definition of standard deviation is the mean absolute deviation of the sum of the squared deviation from the average.
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Answer:
y = 3x - 25
Step-by-step explanation:
<h3>a. slope =
</h3><h3>b. slope = m = positive = positive correlation = two sets of data increase together</h3><h3>Further explanation</h3>
Scatter plot shows the relationship between data
We can use Regression to make lines on the chart or you can also make lines with the principle as close as possible to all points
Regression
Because data is in the form of numbers from the hand span length and height of each of students. not displayed clearly, then we make a line directly by making points on the graph above and below the line as much as possible to be balanced
We specify 2 points that are crossed by a line, for example:
(6.45) and (8.60)
slope (m) = change in y / change in x
Slope has a positive value, and shows a positive correlation where the tendency of the number rises simultaneously, or can be concluded:
<em>tall students will have the long hand span length too</em>
<h3>
Learn more</h3>
Line equation
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Keywords : line equation, slope, regression, the hand span length and height, graph, Scatter plot
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