A bag has 4 red, 2 blue, and 1 green marbles. What is the probability of choosing a red marble?
Correct answer(s):
- 4/7
Subject
Mathematics
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Simplify using exponent laws: 7^8 ÷ 7^4.
Correct answer(s):
- 7^4
Find the mean of the data set: 4, 12, 16, 27, 29.
Correct answer(s):
- 88/5
Simplify √99 as much as possible.
Correct answer(s):
- 3√11
Solve for x: 12x + 18 = 162.
Correct answer(s):
- 12
A student can choose from 2 shirts, 5 pants, and 2 pairs of shoes. How many different outfits are possible?
Correct answer(s):
- 20
Find the median of the data set: 3, 5, 6, 9, 13.
Correct answer(s):
- 6
Write 45000 in scientific notation.
Correct answer(s):
- 4.5 × 10^4
Add the matrices [[-3, 7], [2, 0]] and [[6, -2], [1, 2]].
Correct answer(s):
- [[3, 5], [3, 2]]
Write 0.0036 in scientific notation.
Correct answer(s):
- 3.6 × 10^-3
If f(x) = 6x – 2, find f(8).
Correct answer(s):
- 46
If U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12} and A = {1, 4, 6, 8, 9}, what is A′?
Correct answer(s):
- {2, 3, 5, 7, 10, 11, 12}
Add the matrices [[5, -3], [8, 6]] and [[1, 4], [-5, 5]].
Correct answer(s):
- [[6, 1], [3, 11]]
Simplify √147 as much as possible.
Correct answer(s):
- 7√3
If U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12} and A = {5, 7, 8, 10, 12}, what is A′?
Correct answer(s):
- {1, 2, 3, 4, 6, 9, 11}
Let A = {5, 8, 12, 13, 15} and B = {4, 6, 8, 12, 13}. What is A ∪ B?
Correct answer(s):
- {4, 5, 6, 8, 12, 13, 15}
Find the slope of the line passing through (0, 1) and (2, 3).
Correct answer(s):
- 1
Find the slope of the line passing through (3, -3) and (5, -6).
Correct answer(s):
- -3/2
Solve the system: 2x + 3y = -2 and 1x – 1y = 9.
Correct answer(s):
- x = 5, y = -4
Find the median of the data set: 17, 21, 27, 36, 38.
Correct answer(s):
- 27