Suppose you want to estimate the sales per customer for the next holiday season. Based on past seasons, the population standard deviation is $60. Based on a survey sample of 36 people, you estimate this season each customer will spend an average of $900. At 95% confidence, what is the margin of error

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step-by-step explanation: then we will answer

step-by-step explanation:

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we have three similar triangles, because each has a right angle and shares an angle.   let's write the angles in order: opposite to short leg, long leg, hypotenuse.

cab similar to bad similar to cbd

or as ratios,

ca: ab: cb = ba: ad: bd = cb: bd: cd

we also know

ac = ad + cd

(ad+cd): ab: cb = ba: ad: bd = cb: bd: cd

(ad+cd)/cb=cb/cd

we have cb=6, ad=5 and seek x=cd.

we reject the negative root and conclude x=4

answer: 4

m∠a is 90°

m∠b is 40°