A teacher was analyzing the relationship between students that received high scores on test and students that are involved in at least one extracurricular activity at school. The teacher surveyed all of their students. For
the students, 80% received high scores on tests, 60% were involved in at least one extracurricular activity, and
40% received high scores on tests and were involved in at least one extracurricular activity. Define events T
as a student that received high scores on tests and E represent a student is involved in at least one
extracurricular activity.
a) What is the probability a student receives high scores on tests and is not involved in at least one
extracurricular activity? Be sure to include a symbolic representation of the question.
b) What does P(E|T) represent in context? Find the value of P(E|T).

step-by-step explanation:

12: 00 p.m. to 7: 00 p.m. is a total of 7 hours.

4: 00 p.m. to 7: 00 p.m. is a total of 3 hours.

this means that from 4: 00 p.m to 7: 00 p.m. this represents 3/7 of what was lost from 12: 00 p.m. to 7: 00 p.m.

after knowing this, after doing 11,600 - 6,800 = 4,800

4,800 represents 3/7 of what was lost for 7 hours.

we then divide 4,800 by 3 which gets 1,600.

because we know that 1,600 represents 1/7 of how much water was lost, we just have to multiply by 7, which gets 11,200.   after adding 11,200 to how much water was left at 7: 00 p.m. which was 6,800. 11,200 + 6,800 = 18,000

this means that the pool originally had 18,000 gallons in the pool.

you can also check your work by doing 18,000 - 4(1600), which becomes           1800 - 6400 which gets you 11,600.

60

step-by-step explanation:

every triangle measures a total of 120 degrees. you have to find angle c. we know that isosceles triangles angles are equal. 60 degrees plus 60 degrees gives you 120.