Answer:

Step-by-step explanation:
Given


Required
The area of the shaded sector
This is calculated as:

This gives




Answer:
<h2>B. 468</h2>
Step-by-step explanation:
We have

If |r| < 1, then the formula of a sum of an infinite geometric sequence is:

Substitute:

Answer:
542
Step-by-step explanation:
We are required to find the sample size at 98% confidence interval in this question
E = 0.04
P* = 20% = 0.20
n = p* x (1-p)(Zα/2÷E)²
α = 1 - 0.98
= 0.02
To get Critical value
= 0.02/2 = 0.01
The critical value at 0.01 is 2.33
Inserting values into formula:
O.2 x 0.8(2.33/0.04)²
= 0.8 x 0.2 x 58.25²
= 542.89
The value of n must be an integer therefore the answer is 542.
Answer:
- 4x² + 6xy - y²
Step-by-step explanation:
8x² + 3xy + 4y² - 12x² + 3xy - 5y² ← collect like terms
= (8x² - 12x² ) + (3xy + 3xy) + (4y² - 5y²)
= - 4x² + 6xy - y²