The answer is <span><span>First, it is a Rational number. It is also a Real number. If you want one more set, it is a Complex number (if you have had that one yet!).
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15% = 0.15
8 = 0.15x
8/0.15 = x
x = 53.33 or 160/3
Since it's a sample size, we use x, as the mean and s= standard deviation
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Given: x =27, s = 2 and total sample = 32.
Probability that a recruit is at least 31 years old?
Let's calculate the Z score :
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X - x 31 - 27
Z = ----------- → Z = -------- → Z = 2 (now look up in the Z score table,
s 2
Area (Z=2) =0.9772 , but Z ≥ 2 (at least) , then :
Area (Z≥2) = Area (Z≤ - 2) = 0.0228
P(≥31)= 0.0228
Answer: 160 miles
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Explanation:
x = number of miles driven, y = cost
First plan: y = 0.08x + 61.98
Second plan: y = 0.13x + 53.98
Equate the two right hand sides of each equation; solve for x
0.13x + 53.98 = 0.08x + 61.98
0.13x - 0.08x = 61.98 - 53.98
0.05x = 8
x = 8/0.05
x = 160
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Extra Info: plugging x = 160 into each equation gives us...
y = 0.08x + 61.98 = 0.08*160+61.98 = 74.78
y = 0.13x + 53.98 = 0.13*160 + 53.98 = 74.78
Therefore, driving 160 miles for each plan yields the same cost $74.78, which helps us confirm we have the right answer.
Answer:
-15/41
Step-by-step explanation:
