Solve each equation. Record your work and check your solution. a. 5(x-2)+(-9)= -7(1-x)
1 answer:
The solution for equation is x = -6
<em><u>Solution:</u></em>
<em><u>Given equation is:</u></em>
We have to solve the equation
According to Bodmas rule, if an expression contains brackets ((), {}, []) we have to first solve or simplify the bracket followed by of (powers and roots etc.), then division, multiplication, addition and subtraction from left to right
Therefore, solve for brackets in given equation
Solve for terms in left hand side of equation
Move the variables to one side and constants to other side
Thus the solution for equation is x = -6
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Answer:
The observation would be considered unusual because it is farther than three standard deviations from the mean.
Step-by-step explanation:
Problems of normally distributed samples are solved using the z-score formula.
In a set with mean and standard deviation
, the zscore of a measure X is given by:
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
When Z has an absolute value higher than 2, the observation is considered unusual.
In this problem, we have that:
So the correct answer is:
The observation would be considered unusual because it is farther than three standard deviations from the mean.