Will give two boats start their journey from the same point a and travel along directions ac and ad, as shown below: abc is a right triangle with measure of angle abc equal to 90 degrees and length of ab equal to 200 feet. there is a point c on bd such that measure of angle acb is 60 degrees and measure of angle adc is 30 degrees. what is the distance, cd, between the boats? a. 230.9 ft b.284.3 ft c.115.5 ft d.173.2 ft

in triangle abc, we have

on substituting the given values, we get

now, in triangle abd, we have

therefore, the distance between the boats cd is given by

a is the correct option.

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;