Angles are 18° and 72°
Step-by-step explanation:
- Step 1: Find the two complementary angles in the ratio 1:4. Let the angles be 1x and 4x.
x + 4x = 90° (∵ they are complementary)
5x = 90
∴ x = 90/5 = 18
⇒ Angles are 18° and 4x = 72°
Answer:
Angles 3 and 7 are not alternate interior.
5 is not equal to 7 because of the substitution property
Given:
mean, μ = 11 lb
Std. deviation, σ = 2.1
Let x = the weight that separates the top 5% of the crop.
The z-score is
z = (x - μ)/σ
= (x - 11)/2.1
From standard z-table for normal distribution,
P(z=1.645) = 0.95
Therefore
(x - 11)/2.1 = 1.645
x - 11 = 1.645/2.1 = 0.7833
x = 11.783
Answer: 11.8 lb (nearest tenth)
