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 9 hours of burning, a candle has a height of 24.5 centimeters. after 23 hours of burning, its height is 17.5 centimeters. what is the height of the candle after 21 hours? centimeters

Suppose that the height (in centimeters) of a candle is a linear function of

the amount of time (in hours) it has been burning.

Let x be the amount of time in hours

Let y be the heoght of a candle in centimeters

The two points are then as (9,24.5) and (23,17.5).

Now plug in x=21, we get

Thus the height of the candle after 21 hours is 18.5 centimeters.

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step-by-step explanation:

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d. 24+-0.114

step-by-step explanation:

the question requires us to calculate the approximate 95% confidence interval for the mean number of ounces of ketchup per bottle in the sample given the following statistics;

sample mean = 24

standard deviation, σ = 0.4

sample size , n = 49

the confidence interval for a population mean is calculated using the formula;

sample mean ± z-score*(σ/sqrt(n))

the z-score associated with a 95% confidence interval, from the standard normal tables, is;

1.96

substituting these values into the formula;

24 ± 1.96*(0.4/7)

= 24 ± 0.112

from the alternatives given, choice d is closest to the above expression;