A researcher is interested in consumer preferences among three brands of yogurt. A sample of 90 people is obtained, and each individual is asked to taste each brand and then select his/her favorite. The resulting frequency data are as
follows:
Brand A
Brand B Brand C
37
21
32
Do the data indicate any significant preferences among the three brands? Test at the .05 level of significance.
State the null hypothesis (1 point), the expected frequency for each category (3 points), the value of chi-
square (4 points), the df (1 points), the critical value of chi-square (2 points), and the decision regarding
significance (1 points).

3/4 ÷ 3/4

step-by-step explanation:

basically divide any proper fraction with itself to fit the criteria.

so if we are using 3/4, then:

3/4 ÷ 3/4 = 1

so 1 is the quotient.

and the numerators for both these fractions is 3.   and if we divide the numerators:

3 ÷ 3 = 1

we see that quotient is equal to our original quotient as well.

i think it is everything has to equal 180 so, if i correct 4=c. 6=d. 8=a. 7=b. and the last question would be c. because they are parallel lines and they are congruent.

step-by-step explanation:

the reason everything has to equal to 180 is because that is how it works. i'm guessing that is its rule. 4 and 8 are congruent and parallel so, that would be 30+30 because they have the same number. it would equal 60. 6 and 7 are congruent and parallel so, that would be 30+30 because they have the same number. it would equal 60. 60+60 is 180. so, now you have your answer

54.864 meters

step-by-step explanation: