D. City officials are interested in knowing whether there is an association between the air quality and the
percent cloudiness on a given day. For each quality reading above, the respective percent of cloudiness
is 25, 50, 30, 80, 90, 100, 70, and 40.
i.
If the average cloudiness for this sample is 60.625 with a standard deviation of 28.3395, which variable
is more dispersed, air quality of cloudiness? Use coefficient of variation.
ii.
Calculate the covariance and the correlation coefficients. Use a table to show your calculations.
iii.
What is the association between air quality and cloudiness?

∠1≅∠2 by the alternate exterior angles theorem.

step-by-step explanation:

given, a ∥ b and ∠1 ≅ ∠3 .we have to prove that e ∥ f

we know that ∠1≅∠3 and that a || b because they are given. we see that by the alternate exterior angles theorem. therefore, ∠2≅∠3 by the transitive property. so, we can conclude that e || f by the converse alternate exterior angles theorem.

we have to fill the missing statement.

transitivity property states that if a = b and b = c, then a = c.

now, given ∠1≅∠3 and by transitivity property ∠2≅∠3 .

hence, to apply transitivity property one angle must be common which is not in result after applying this property which is ∠1.

the only options in which ∠1 is present are ∠1 and ∠2, ∠1 and ∠4

∠1 and ∠4 is not possible ∵ after applying transitivity we didn't get ∠4.

hence, the missing statement is ∠1≅∠2.

so, ∠1≅∠2 by the alternate exterior angles theorem.

take it another