Suppose that the height (in centimeters) of a candle is a linear function of the amount of time (in hours) it has been burning.
After 6 hours of burning, a candle has a height of 17.4 centimeters. After 23 hours of burning, its height is 7.2 centimeters. What is the height of the candle after 11 hours?
Assume that the rule connecting height of the candle to time is a linear one. If you do, then we have to find the equation of this line, and then use this equation to predict the height of the candle after 11 hours.
Two points on this line are (6,17.4) and (23, 7.2). The slope is thus 7.2-17.4 -6 m = --------------- = ----------- or -3/5. 23-6 10
Find the equation of the line. I'm going to use the slope-intercept formula:
y = mx + b => 7.2 = (-3/5)(23) + b. Solving for b, b = 21.
Now we know that y = (-3/5)x + 21
Let x=11 to predict the height of the candle at that time.
If the pool has 18 married and 22 not married, this means there are 40 people total this means there’s a 18/40 probability that people who are married will be chosen 18/40 = 2/5 There is a 22/40 probability people who are un married will be chosen 22/40 = 11/20
