Jerry conducted a survey to determine the favorite flavor of ice cream in the seventh grade. he surveyed 40 students and found that 1 out of 4 students like vanilla ice cream the most. if a random 7th grader was chosen from jerry’s school what is the likelihood the student would like vanilla ice cream? a. likely b. unlikely c. certain d. impossible

B. Unlikely

Step-by-step explanation:

Given : Jerry conducted a survey to determine the favorite flavor of ice cream in the seventh grade. he surveyed 40 students and found that 1 out of 4 students like vanilla ice cream the most.

To Find:  if a random 7th grader was chosen from Jerry’s school what is the likelihood the student would like vanilla ice cream?

Solution :

Since we are given that  1 out of 4 students like vanilla ice cream the most.

So, probability of liking vanilla is 1/4 = 0.25

Now,

Likely : When an event has a good chance of happening i.e. probability of event must be greater than 1/2 = 0.5

Unlikely : When an event does not has a good chance of happening i.e. probability of event must be smaller than 1/2 = 0.5

Certain : When an event will always happen i.e. probability must be 1

Impossible : When an event will never happen i.e. probability must be 0

Since  probability of liking vanilla is 1/4 = 0.25 less than 0.5

So, the likelihood is Unlikely according to definitions

So,  Unlikely is the likelihood the student would like vanilla ice cream

(sin 42)/31. = sinx)/37

sinx = 37 (sin42)/31

= 37× 0.66/31 = 0.787

x= 51.9

other angle opposite to y = 180-51.9-42

= 180- 93.9 =86.1

so

sin42)/31 = sin 86.1)/y

0.021 = 0.997 /y

y= 0.997/0.021 =47.47