Problem 1
y + (y/a) = b
a*( y + (y/a) ) = a*b ... multiply both sides by 'a'
ay + a(y/a) = ab ... distribute
ay + y = ab
(a+1)y = ab .... factor
y(a+1) = ab
y = ab/(a+1) ... divide both sides by (a+1)
<h3>Answer: y = ab/(a+1)</h3>
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Problem 2
z - a = z/b
b(z - a) = b(z/b) .... multiply both sides by b
b(z - a) = z
bz - ab = z ... distribute
bz - ab+ab = z+ab ... add ab to both sides
bz = z+ab
bz-z = z+ab-z ... subtract z from both sides
bz-z = ab
z(b-1) = ab .... factor
z = ab/(b-1) .... divide both sides by (b-1)
<h3>Answer: z = ab/(b-1) </h3>
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Notes:
To clear out the fractions, I multiplied both sides by the denominator value.
The restriction that 'a' cannot equal -1, back in problem 1, is to avoid having the denominator (a+1) be equal to zero. We cannot divide by zero. A similar situation happens with problem 2 as well.
The answer is representativeness heuristic. This is used when making decisions about the likelihood of an occasion under doubt. It is unique of a group of heuristics (simple rules leading decision or decision-making) suggested by psychologists Amos Tversky and Daniel Kahneman in the 1970s.
Answer:
Standard Deviation = 5.928
Step-by-step explanation:
a) Data:
Days Hours spent (Mean - Hour)²
1 5 61.356
2 7 34.024
3 11 3.360
4 14 1.362
5 18 26.698
6 22 84.034
6 days 77 hours, 210.834
mean
77/6 = 12.833 and 210.83/6 = 35.139
Therefore, the square root of 35.139 = 5.928
b) The standard deviation of 5.928 shows how the hours students spend outside of class on class work varies from the mean of the total hours they spend outside of class on class work.
3.35 is bigger then 3.345
