Answer: Choice C) 5
-----------------------------------------------------------------
-----------------------------------------------------------------
Explanation:
Step 1) Draw a vertical line through -1 on the x axis. This vertical line crosses through the point (-1,-5) which is a point on the hyperbola.
Step 2) Draw a vertical line through 1 on the x axis. This line crosses the hyperbola at (1,5).
Step 3) Find the slope of the line through the two points (-1,-5) and (1,5) using the slope formula
m = (y2 - y1)/(x2 - x1)
m = (5 - (-5))/(1 - (-1))
m = (5 + 5)/(1 + 1)
m = 10/2
m = 5
The slope of the line is 5. This is the same as saying the average rate of change is 5. The average rate of change is over the interval [-1,1] which is the same as the interval -1 <= x <= 1
Note: writing "<=" without quotes means "less than or equal to".
The area of a trapezoid is:
So let's plug numbers in:
Answer:
20π ft
Step-by-step explanation:
Formula: C=2πr, where C is the circumference and r is the radius.
r=10 ft.
C=2*π*10
=20π ft.
Answer:
A. Miguel has the greatest spread.
B. Considering the middle 50% of the training time, the person with the least spread is Adam.
C. Miguel is inconsistent with the time set for training compared to that of Adam.
Step-by-step explanation:
The spread of a data shows the range of the data.
Using the range to determine the spread of the given data:
A. The range of the two persons can be determined by:
Range = highest value - lowest value
So that:
Adam's range = 106 - 91
= 15
Miguel's range = 105 - 86
= 19
Comparing the range of the two, Miguel has the greatest spread.
B. Considering the middle 50% of the training time;
Adam - 103 105 104 106 100
Miguel - 88 86 89 93 105
Adam's 50% range = 106 - 100
= 6
Miguel's 50% range = 105 - 86
= 19
Considering the middle 50% of the training time, the person with the least spread is Adam.
C. The answers to parts 2(a) and 2(b) shows that; there is a wide variation (much inconsistency) in the time that Miguel spend during training, but a minimum variation in the time spent by Adam during training.
