Part 3 Last part Jim Homework Algebra

Answers:

11.  D) There appears to be an association between the variables. Since the teams with animal mascots win 74% of their games played and those with another type of mascot only win 49% of their games, the large difference suggests an association.12. A) 913. D) There appears to be an association. Since there is a difference in percentages for modern and classical styles for the type of art.14. D) 59%15. A) 60%

Explanations:

11. If the columns were identical (or nearly so) then that would suggest there isn't any association. However, the columns are different so it's likely we have association going on. Changing the mascot type appears to have an effect on whether the team wins or loses. In other words, the variables appear to be dependent.12. Let x be the missing value in the table. Solve the proportion x/18 = 27/54 and you should get x = 9. If 9 goes in that table, then it will produce identical row relative frequencies (and identical column relative frequencies as well) which would then lead us to conclude that there probably isn't any association between the variables.13. This is similar to problem 11. The columns being different percentages shows that changing the art style changes the make up of the sculptures and paintings. 14.  There are 37+54 = 91 people who prefer the beach (instead of skiing). Of this total, 54 are away from the coast. So roughly 54/91 = 0.59 = 59% of the beach-goers are away from the coast.15. Same idea as the previous problem. We have 24+36 = 60 people who like to ski, and 36 people are away from the coast. So 36/60 = 0.60 = 60% of the skiers are away from the coast.

Answer: question no. 1 -a. yes, the sides are in the ratio 2 : 5.question no. 2 -b. 59°question no. 3 -c. angles x and y are remote interior angles.question no. 4 -d. 90°, 45° and 45°question no. 5 -b. mn and qrstep-by-step explanation: question no. 1 -rs : xu = 3 : 7.5 = 2 : 5rt : x? = 6.4 : 16 = 2 : 5st : u? = 6 : 15 = 2 : 5as the ratios of all sides are equivalent, the triangles must be congruent and the sides must be proportional.therefore, the answer is: a. yes, the sides are in the ratio 2 : 5.question no. 2 -in the second diagram, angle b is the only letter not shown. therefore, the number must be equivalent to angle b.if we substitute the value of angle b as being 22° in the first diagram, we can now use the angle sum of a triangle to obtain the value of angle a.angle sum of a triangle = 180°therefore: let angle a = aa + 99 + 22 = 180a = 180 - 99 - 22a = 59°therefore, the answer is: b. 59°question no. 3 -angles x and y don't share the vertex of the triangle with the exterior angle w. remote interior angles don't share a vertex of a triangle with an exterior angle. this means that angles x and y are remote interior angles.therefore, the answer is: c. angles x and y are remote interior angles.question no. 4 -the sum of all interior angles of a triangle must be equivalent to 180°.90°, 45° and 45° are the only set of angle measures that are equivalent to 180°.therefore, the answer is: d. 90°, 45° and 45°question no. 5 -the only pair of sides stated in the options which are corresponding are mn and qr.therefore, the answer is: b. mn and qr.