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A box contains 5 red counters, 5 black counters, and 3 green counters. If one counter is chosen without looking, what is the probability that it is green?
- 5 red counters
- 5 black counters
- 3 green counters
Choose the best answer.
Correct answer(s):
- 3/13
If f(x) = 6x – 2, find f(8).
Correct answer(s):
- 46
Write 0.0036 in scientific notation.
Correct answer(s):
- 3.6 × 10^-3
Add the matrices [[-3, 7], [2, 0]] and [[6, -2], [1, 2]].
Correct answer(s):
- [[3, 5], [3, 2]]
Write 45000 in scientific notation.
Correct answer(s):
- 4.5 × 10^4
Find the median of the data set: 3, 5, 6, 9, 13.
Correct answer(s):
- 6
A student can choose from 2 shirts, 5 pants, and 2 pairs of shoes. How many different outfits are possible?
Correct answer(s):
- 20
Solve for x: 12x + 18 = 162.
Correct answer(s):
- 12
Simplify √99 as much as possible.
Correct answer(s):
- 3√11
Find the mean of the data set: 4, 12, 16, 27, 29.
Correct answer(s):
- 88/5
Simplify using exponent laws: 7^8 ÷ 7^4.
Correct answer(s):
- 7^4
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
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}
Add the matrices [[5, -3], [8, 6]] and [[1, 4], [-5, 5]].
Correct answer(s):
- [[6, 1], [3, 11]]
A student can choose from 2 shirts, 5 pants, and 1 pairs of shoes. How many different outfits are possible?
Correct answer(s):
- 10
Find the mean of the data set: 4, 5, 22, 27, 35.
Correct answer(s):
- 93/5
Solve for x: 3x + 14 = 47.
Correct answer(s):
- 11
Find the slope of the line passing through (-6, -6) and (-4, -1).
Correct answer(s):
- 5/2
Factorize: x² + 12x + 35.
Correct answer(s):
- (x + 7)(x + 5)
Write 9.1e+08 in scientific notation.
Correct answer(s):
- 9.1 × 10^8