Answer:
Step-by-step explanation:
The LCD here is 10.
Multiplying numerator and denominator of (4*10^2) by 10 results in:
40*10^3
-------------
10
and rewriting (2x10^-1) with positive exponent in the denominator results in:
2
---------
10
So, before simplification, this difference comes out to be:
40000 - 2 39998 19999
----------------- = ---------------- or ------------
10 10 5
Working Principle: Stratified Random Sampling
nx = (Nx/N)*n
where:
nx = sample size for stratum x
Nx = population size for stratum x
N = total population size
n = total sample size
Given:
Nx = 100
N = 1000
n = 0.5*(1000) = 500
Required: Probability of Man to be selected
Solution:
nx = (Nx/N)*n
nx = (100/1000)*500 = 50 men
ny = (Nx/N)*n
ny = (100/1000)*500 = 50 women
Probability of Man to be selected = nx/(nx + ny)*100 = 50/(50+50)*100 = 50%
<em>ANSWER: 50%</em>
Volume of the cube with side 4p = 4p x 4p x 4p = 64p³
Volume of the cube with side 2q² = 2q² x 2q² x 2q² = 8q⁶
Total Volume = 64p³ + 8q⁶
Total Volume = (4p)³ + (2q²)³
Total Volume = (4p + 2q²)( ( 4p)² - (4p)(2q²) + (2q²)²)
Total Volume = (4p + 2q²)( 16p² - 8pq² + 4q⁴)
Answer: (4p + 2q²)( 16p² - 8pq² + 4q⁴)
Answer:
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Step-by-step explanation:
