Answer:
Therefore the correct answer is A.) 84.88%
Step-by-step explanation:
i) λ = 2
ii) λ for three units = 2
3 = 6
iii) P(x ≥ 4) = 1 - P(x < 4) = 1 - {P(x = 0) + P(x = 1) + P(x = 2) + P(x = 3) }
= 1 - {
}
= 1 - (0.0025 + 0.0149 + 0.0446 + 0.0892)
= 0.8488
Therefore the correct answer is A.) 84.88%
Answer:
1 The ratio of the measure of the central angle to the measure of the entire circle is StartFraction 5 Over 2 pi EndFraction
3 The area of the sector is 250 units².
5 The area of the sector is more than half of the circle’s area
Step-by-step explanation:
Step 1: From the given equation, taking the Left Hand Side (LHS) of the equation
Step 2: Simplify the LHS to make it equal to the Right Hand Side (RHS)
LHS = sin^4x - cos^4x = (sin²x)² - (cos²x)²
= (sin²x - cos²x)(sin²x + cos²x)
= sin²x - (1 - sin²x) since sin²x + cos²x = 1
= 2 sin²x - 1
= RHS
Hence proved.