cameronbeaugh
22.08.2019 •
Mathematics
Use the graph to complete the following. the probability that a boxer weighs between 60 and 80 pounds is %
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Ответ:
95%
Step-by-step explanation:
The Empirical rule, also the 68–95–99.7 rule, states that for a population that is approximately normal or symmetrical, nearly all of the data values will lie within three standard deviations of the mean;
68% of data values will fall within one standard deviation from the mean
95% of data values will fall within two standard deviation from the mean
99.7% of data values will fall within three standard deviation from the mean
From the graph given, we note that the weights 60 and 80 pounds fall within two standard deviations from the mean;
70 ± (2*5) = 70 ± 10 = (60, 80)
70 is the mean, 5 the standard deviation and 2 the number of standard deviations from the mean. From the Empirical rule we can conclude that the probability that a boxer weighs between 60 and 80 pounds is 95%
Ответ:
Step-by-step explanation:
Part A. Using five rectangles.
I will use the left end-point approximation.
1. Divide the interval [0,20] into five equal subintervals
Δx = (20 - 0)/5 = 4
The intervals are:
[0,4], [4,8], [8,12], [12,16], [16,20]
2. Evaluate the function at the left end-points and calculate the areas
Fig. 1 shows the graph with five rectangles.
Part B. Using 10 rectangles
1. Divide the interval [0,20] into 10 equal subintervals
Δx = (20 - 0)/10 = 2
The intervals are:
[0,2], [2,4], [4,6], [6,8], [8,10], [10,12], [12,14], [14,16], [16,18], [18,20]
2. Evaluate the function at the left end-points and calculate the areas
Fig. 2 shows the graph with 10 rectangles.
Part C. The limit as n ⟶ ∞
Integrate the function.