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Answer:
Stefan spend $120 originally.
Stefan made $72 by selling bicycle and helmet to Jim.
Step-by-step explanation:
Given:
Cost of bicycle = $175
Cost of Helmet = $17
Percent of total cost of Jim = 160% of original cost of Stefan
We need to find the Amount Stefan spend originally and money he made by selling the bicycle and helmet to Jim.
Solution:
Let the Amount Stefan spend originally be 'x'.
Total Cost of Jim is equal to sum of Cost of bicycle and Cost of Helmet.
framing in equation form we get;
Total Cost of Jim =
Now we know that;
Total Cost of Jim is equal to 160% of Amount Stefan spend originally.
framing in equation form we get;
Dividing both side by 1.6 we get;
Hence Stefan spend $120 originally.
Now we can say that;
Money Stefan made is equal to Money Stefan spend originally minus Total Cost of Jim.
framing in equation form we get;
Money Stefan made =
Hence Stefan made $72 by selling bicycle and helmet to Jim.
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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