Answer:
*Assuming that the question should read '8 years less than 3 times Danielle's age'*
Equation: 3a - 8 = 34, where 'a' = Danielle's age
Danielle's age (a) = 14
Step-by-step explanation:
Using key words and phrases from the problem, we can find Danielle's age by setting up an equation to solve for 'a'.
Since Danielle's aunt is '8 years less than 3 times Danielle's age' her aunt's age can be written as: 3a - 8. We also know her aunt is 34. So, the equation becomes:
3a - 8 = 34
Add 8 to both sides: 3a - 8 + 8 = 34 + 8 or 3a = 42
Divide both sides by 3: 3a/3 = 42/3
Solve for a: a = 14, so Danielle's age is 14 years old.
Add 8 to 46. Then divide 54/8 to get 6.75 and t=6.75
Answer:
If the committee must consist at least one student, the probability is 99.96%
Step-by-step explanation:
Given;
number of teachers = 5
number of students = 20
Total number of committee members = 25
Possible outcome of all the members in the 4 committee = 25C₄ ways
= 12650
If the committee must consist at least one student, then the possible outcome;
= Total possible outcome - committee with no student
= 25C₄ ways - 5C₄ ways (all committee members are teachers)
= 12650 - 5
= 12645
The probability that the committee will consist at least one student;
= 12645 / 12650
= 0.9996
= 99.96%
Therefore, if the committee must consist at least one student, the probability is 99.96%
