Find the mode of the data set: 12, 14, 15, 20, 20, 26.
Correct answer(s):
- 20
Subject
Advanced Mathematics
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Quizzes in Advanced Mathematics
Simplify using exponent laws: 5^2 × 5^3.
Correct answer(s):
- 5^5
In a class of 53 students, 15 study only Algebra, 16 study only Geometry, and 6 study both. How many study Algebra or Geometry?
Correct answer(s):
- 37
Multiply the matrix [[-4, 6], [7, 1]] by 3.
Correct answer(s):
- [[-12, 18], [21, 3]]
If f(x) = -2x + 4, find f(4).
Correct answer(s):
- -4
A fair 4-section spinner and a fair 3-section spinner are spun once. What is the probability of getting one chosen section on each spinner?
Correct answer(s):
- 1/12
Solve for x: 8x + 6 = -42.
Correct answer(s):
- -6
Solve the inequality: 6x – 7 > 17.
Correct answer(s):
- x > 4
Simplify using exponent laws: 3^8 × 3^1.
Correct answer(s):
- 3^9
Write 3.1e-05 in scientific notation.
Correct answer(s):
- 3.1 × 10^-5
Find the mean of the data set: 3, 4, 6, 14, 15.
Correct answer(s):
- 42/5
Solve for x: 5x + 17 = 22.
Correct answer(s):
- 1
Write 0.045 in scientific notation.
Correct answer(s):
- 4.5 × 10^-2
A student can choose from 3 shirts, 3 pants, and 4 pairs of shoes. How many different outfits are possible?
Correct answer(s):
- 36
If U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12} and A = {1, 3, 4, 5, 12}, what is A′?
Correct answer(s):
- {2, 6, 7, 8, 9, 10, 11}
If f(x) = -2x + 7, find f(4).
Correct answer(s):
- -1
If f(x) = -3x + 6, find f(-2).
Correct answer(s):
- 12
Solve the system: 2x + 3y = -4 and 1x – 2y = -9.
Correct answer(s):
- x = -5, y = 2
Write 9400 in scientific notation.
Correct answer(s):
- 9.4 × 10^3
Solve for x: 5x – 5 = -35.
Correct answer(s):
- -6