Astreet light is at the top of a 15 ft. tall pole. a man 5.3 ft. tall walks away from the pole with a speed of 5 feet/sec. along a straight path. how fast is the tip of his shadow moving when he is 36 feet from the pole?

-22

times both sides by 2, times () by 8, add alile terms, move terms, add alike and caculate divide both sides by 3

22.83 repeating

step-by-step explanation:

137 ÷ 6 is 22.8333333 therefore we understand that 3 is repeating.

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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;