Answer:
i) is irrational and ii) is rational
Step-by-step explanation:
i) does not keep a consistent pattern. If it was .11011011011.... it would be a rational number, but since it keeps changing its pattern it would be considered irrational. ii) is rational because it has a consistent pattern that doesn't change.
Answer:
32x⁵ + 240x⁴ + 720x³ + 1080x² + 810x + 243
Step-by-step explanation:
(2x + 3)⁵
₅C₀ (2x)⁵ (3)⁰ + ₅C₁ (2x)⁴ (3)¹ + ₅C₂ (2x)³ (3)² + ₅C₃ (2x)² (3)³ + ₅C₄ (2x)¹ (3)⁴ + ₅C₅ (2x)⁰ (3)⁵
Use Pascal's triangle to find nCr.
1 (2x)⁵ (3)⁰ + 5 (2x)⁴ (3)¹ + 10 (2x)³ (3)² + 10 (2x)² (3)³ + 5 (2x)¹ (3)⁴ + 1 (2x)⁰ (3)⁵
(2x)⁵ + 15 (2x)⁴ + 90 (2x)³ + 270 (2x)² + 405 (2x)¹ + 243
32x⁵ + 240x⁴ + 720x³ + 1080x² + 810x + 243
Answer:
Step-by-step explanation:
15 can go into both 45 and 150 so you divide both into that
45/15 is 3
150/15=10
Answer:
A. 0.4880
Step-by-step explanation:
First, find the z-score:
z = (x − μ) / σ
z = (13.5 − 13.56) / 2.24
z = -0.03
Using a z-score table:
P(z < -0.03) = 0.4880
You basically just split it right down the middle. if the cost of something is lets say $75.58, then you would divide 75.58 by 2, which is $37.79
hope it helps!!
