Answer: ≅ 1.708333
Sorry I made a mistake before But now it's correct :)
Step-by-step explanation:
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Polynomial that represents a difference in cubes.
x³ - 64 = 0
x³ = 64
∛x³ = ∛64
x = 4
Correct Steps for factoring the polynomial 5x³ - 40
5(x³ - 8)
5((x)³ - (2)³)
5(x - 2)(x² + 2x + 4)
To check:
5(x - 2)(x² + 2x + 4)
(5x - 10) (x² + 2x + 4)
5x(x² + 2x + 4) - 10(x² + 2x + 4)
5x³ + 10x² + 20x - 10x² - 20x - 40
5x³ + 10x² - 10x² + 20x - 20x - 40
5x³ - 40
Answer:
y = - 6x - 2
Step-by-step explanation:
The given line is
where k is the missing constant from the given equation( this has no effect on the solution in anyway)
We solve for y to get;
The slope of this line after comparing to
y=mx+c is
The negative reciprocal is m=-6
The equation of the required line that passes through (-5,4) is given by
We multiply through by 6 to get:
We expand to get;
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Answer:
2.35%
Step-by-step explanation:
First, calculate the difference between mean and the months in the problem:
first month :59 – 26 = 33
second motnh: 59 – 37 = 22
Since standard deviation is 11 months, for the first month is a difference of 3 standard deviation and for the second is 2 standard deviation.
the 68-95-99.7% rule establish that:
1 standard deviation means a 68% of total area under the normal distribution. On one side is half = 34%.
2 standard deviations means a 95% of total area under the normal distribution. On one side is half = 47.5%.
3 standard deviation means a 99.7% of total area under the normal distribution. On one side is half = 49.85%.
The difference between 3 and 2 standard deviation is
49.85 – 47.5 = 2.35%
The answer is 2.35% of cars that remain in service between 26 and 37 months
