100 people are asked to identify their favorite flavor of ice cream. the results are given in the contingency table, classified by age (x)
perform a chi-squared test, at the 5% significance level, to determine whether flavor of ice cream is independent of age. state clearly the null and alternative hypotheses, the expected values and the number of degrees of freedom.

step-by-step explanation:

the shape,the size and the distance

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step-by-step explanation:

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

ca = ec

cpctc makes it so that corresponding parts of the triangle you proved to be equal are equal, the other options aren't part of the part of the triangles you proved to be equal.