The answer is A. And don’t believe in link it’s virus
Answer:
7. <35
8.<5
9.>50
Step-by-step explanation:
simple mathematics
For any inscribed quadrilateral, the opposite angles add to 180
(angle PMN) + (angle NOP) = 180
(8x-24) + (4x) = 180
12x-24 = 180
12x-24+24 = 180+24 ..... add 24 to both sides
12x = 204
12x/12 = 204/12 ..... divide both sides by 12
x = 17
angle NOP = 4x
angle NOP = 4*17
<h3>
angle NOP = 68 degrees</h3>
Step-by-step explanation:
The mean and standard deviation are:
μ = p
σ = √(pq/n)
Given p = 0.12, q = 0.88, and n = 200:
μ = 0.12
σ = √(0.12 × 0.88 / 200)
σ = 0.023
Since the sample is large, it can be approximated with a normal distribution. Find the z-score:
z = (x − μ) / σ
z = (0.14 − 0.12) / 0.023
z = 0.87
Use a calculator or table to find the probability:
P(Z > 0.87) = 1 − 0.8078
P(Z > 0.87) = 0.1922
Let a, ß be the roots of x² + 2ax + b =0.......[1]
⇒a + ß = -2a and aß = b
By hypothesis
la-ß | ≤ 2m
⇒ (a-ß)² ≤ 4m²
⇒ (a+ß)²-4aß < 4m²
⇒ 4a²-4b ≤ 4m²
⇒a² - b ≤ m²......(2)
And discriminant of (1) is >0
⇒4a²-4b> 0
⇒ b <a²...... (3)
From (2) and (3)
a² > b≥ (a² - m²)
b = [a² - m², a²)
