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b could be the logarithm of a rational number to the base a. For example,
will be irrational, but π^b = 4, a rational number
The value of x in the given equation is 0.03
<u>Step-by-step explanation:</u>
The given equation is that
<u>The steps to be followed to solve the equation are :</u>
Add the like terms together to reduce the equation in a simplified form.
Here, there are two x terms and they must be reduced to a single term.
For this, add the both terms together so that the equation is simplified into one x term and a constant term.
⇒
⇒
To eliminate the constant term on the left side of the equation, add 0.1245 on both sides.
⇒
⇒
Now, the equation is further simplified by dividing 4.15 on both sides,
⇒
⇒
Therefore, the value of x is 0.03
Standard deviation = 3.3
The data point = 178
The mean = 184.7
<h2>Further Explanation</h2>To calculate the Z-score of a bag containing 178 peanuts, we should use the formula to calculating a z-score.
The formula for calculating a Z-score is as follows
This also implies
therefore, the correct answer is -2.03
A z-score determine the number of standard deviation from the mean a data point is.
some important factors about z-score include:
- if it is a positive z-score, it indicates the data point is above average
- if it is a negative Z-score, it indicates the data point is below average
- if the z-score is close to 0, it then means the data point is close to average
- if the z-score is above 3 or below -3, it is considered to be unusual
Learn More about Z-score at:
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