X to the power of 2 equal 100 how to solve
2 answers:
Answer: {-10, +10}
Step-by-step explanation: A common mistake in this problem would be to say that if x² = 100, x must equal 10.
Remember however that before you do anything else you must set the equation equal to 0.
So our first step is to subtract 100 from both sides to get x² - 100 = 0. Next, factor the left side to get (x + 10)(x - 10) = 0.
So either x + 10 = 0 or x - 10 = 0.
Solving for x in each equation, we have x = -10 or x = +10.
So our answer is not just 10, it's -10 or +10.
I have also attached my work in the image provided.
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Answer:
($13,300,$46,900)
Step-by-step explanation:
We are given the following in he question:
Mean, μ = $30,100
Standard Deviation, σ = $5,600
Chebyshev's Theorem:
- According to theorem atleast
percent of data lies within 2 standard deviations of mean.
- For k = 3,
Thus, 89% of data lies within three standard deviation of mean.
Thus, we expect at least 89% of new car prices to fall within ($13,300,$46,900)