The answer is 15/100 x 45 =6.75 minutes <span />
Answer:
slope: -3/5
y-intercept: (0, 4)
slope-intercept form: y = -3/5x + 4
Step-by-step explanation:
<h3><u>
Finding the slope</u></h3>
To find the slope of this line, you would take two points from the table and substitute their coordinates into the slope formula.
Slope formula:
I'm going to use the points (0, 4) and (5, 1). You can really use any point from the table. Substitute these points into the formula to find the slope.
(0, 4), (5, 1) →
This means the slope of the line is -3/5.
<h3><u>Finding the y-intercept</u></h3>
The y-intercept will always have the value of x be 0 (so the point is solely on the y-axis), so by looking at the table we can see that the y-intercept is at (0, 4).
<h3><u>Finding the slope-intercept form</u></h3>
Since we have the slope and a point of the line, we must use point-slope form to find the equation of the line in slope-intercept form. Substitute in the point (0, 4) --you could use any point from the table-- and the slope -3/5 into the point-slope form equation.
point-slope form: y - y1 = m(x - x1) --you'll be substituting the point coordinates and slope into y1, x1, and m.
y - (4) = -3/5(x - (0))
Simplify.
y - 4 = -3/5x
Add 4 to both sides.
y = -3/5x + 4 is the equation of the line in slope-intercept form (you have both the slope and the y-intercept in this form).
Answer:
Range = 13
Variance = 10.22
Standard deviation = 3.20
Since this data is time-series therefore, the measures of variation do not reveal anything about the pattern of hurricanes over time.
Step-by-step explanation:
We are given the number of hurricanes that occurred in each year in a certain region.
8 9 8 7 9 15 5 6 8 4 12 7 8 2
Range:
The range of the data set is found by
Range = Maximum value - minimum value
The maximum value in the data set is 15
The minimum value in the data set is 2
Range = 15 - 2
Range = 13
Variance:
To find the variance, first compute the mean of the data set.
Mean = Sum/n
Mean = (8+9+8+7+9+15+5+6+8+4+12+7+8+2)/14
Mean = 108/14
Mean = 7.714
The variance is given by
σ² = (x - mean)²/(n - 1)
σ² = (8 - 7.714)² + (9 - 7.714)²+ (8 - 7.714)² + (7 - 7.714)² + (9 - 7.714)² + (15 - 7.714)² + (5 - 7.714)² + (6 - 7.714)² + (8 - 7.714)² + (4 - 7.714)² + (12 - 7.714)² + (7 - 7.714)² + (8 - 7.714)² + (2 - 7.714)²/(14 - 1)
σ² = 10.22
Standard deviation:
The standard deviation of the data set is given by
σ² = √σ
σ² = √10.22
σ² = 3.20
Since this data is time-series therefore, the measures of variation do not reveal anything about the pattern of hurricanes over time.
Answer:
Ammegurung
Step-by-step explanation:
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