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>
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Define x :
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Let Cheryl be x years old.
Cheryl = x
Lisa = x + 6
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In two years time:
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Cheryl = x + 2
Lisa = x + 8
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Lisa will be twice as old as Cheryl :
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x + 8 = 2(x + 2)
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Solve x :
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x + 8 = 2(x + 2)
x + 8 = 2x + 4
x = 4
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Find their age :
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Cheryl = x = 4
Lisa = x + 6 = 4 + 6 = 10
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Answer: Lisa is 10 years old now.
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So if you want to fit the y-intercepts or "b", on the y-axis you should go by 25's [0, 25, 50, 75, 100...]
If the x-axis <u>does not have to</u> follow the same pattern (25's), you should go by 5's [0, 5, 10, 15, 20...]
y = 7x + 50
y = 2x + 175
First I would plot the y-intercepts for each equation, then plot a few points with x = 5, 10, 15 Then draw a straight line.
The point where the two lines meet/cross paths is your solution. It should be (25, 225) The x-axis is the number of miles, and the y-axis is the total cost. So Truck driver A and B would arrive/be at the same place/meet in 25 miles at the same cost of $225
a) The answer will be 456976 because you multiply 26 and 4.
b) The answer will be 358800 bacause you multiply 26*25*24*23