Answer: in 95% of races, his finishing time will be between 62 and 64 seconds.
Step-by-step explanation:
The empirical rule states that for a normal distribution, nearly all of the data will fall within three standard deviations of the mean . The empirical rule is further illustrated below
68% of data falls within the first standard deviation from the mean.
95% fall within two standard deviations.
99.7% fall within three standard deviations.
From the information given, the mean is 63 seconds and the standard deviation is 5 seconds.
2 standard deviations = 2 × 0.5 = 1
63 - 1 = 62 seconds
63 + 1 = 64 seconds
Therefore, in 95% of races, his finishing time will be between 62 and 64 seconds.
Answer:
Step-by-step explanation:
Given
Restrained Force 
Increase in Kinetic Energy 
Distance moved d=1.9 m
Work done by all the forces is equal to change in Kinetic Energy of Object i.e. by gravity force, Normal force and Applied Force
(b)In absence of applied force thus
work done by gravity will be equal to change in kinetic Energy
change in Kinetic Energy
Answer:
All you have to do is subtract 1500-785 in order to find the number of minutes left for him.
1500-785=715 more minutes left
Answer:
<h2>The slope m = -2</h2>
Step-by-step explanation:
The slope-intercept form of an equation of a line:
<em>m</em><em> - slope</em>
<em>b</em><em> - y-intercept</em>
<em />
We have the equation in the standard form:
Convert to the slope intercept form:
<em>subtract 6x from both sides</em>
<em>divide both sides by 3</em>
slope: <em>m = -2</em>
y-intercept: <em>b = 4</em>
For lines to be parallel, the slopes have to be the SAME.
For lines to be perpendicular, the slopes have to be the exact opposite. (opposite sign and number)
For example(perpendicular):
slope is 2
the perpendicular slope is -1/2
slope is -4/5
the perpendicular slope is 5/4
12. line a and b are perpendicular
13. Line a: y = 3/5x + 1
Line b: y = 3/5x - 2/5
Line c: y = 4/6 + 5/3x
line a and b are parallel
14. Line a: y = 3x + 6
Line b: y = 6 - 3x
Line c: y = 2/3x + 6
Neither, none of them are parallel or perpendicular
15. Line a: y = -2/3 + 4/3x
Line b: y = -1/4 - 3/4x
Line c: y = 5 + 3/4x
line a and b are perpendicular
