Complete the real-world situation that could be modeled by the equation 140 - 8x = 180 - 12x . Xavier has $140 in his lunch acco
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<u>Given</u>:
The distance (in kilometers) Dora hiked is modeled as a function of time.
We need to determine the average rate of change in distance hiked, measured in kilometers per hour, between 8:30 am to 1:30 pm.
<u>Average rate of change:</u>
Let us write the time and the distance hiked in coordinates for the time 8:30 am and 1:30 pm.
Thus, the coordinates are (8.30, 4) and (1,12)
The average rate of change can be determined using the formula,
Substituting the points (8.30, 4) and (1.30,12), we get;
Rounding off to the nearest whole number, we get;
Therefore, the average rate of change is -1.
Answer: Ron's z-score is <u>+1.2</u>.
B. 1.2 standard deviation above the mean .
Step-by-step explanation:
Let X deontes the scores of the final exam
Given : Ms. Meyer's statistics class follow a normal distribution with Mean = 82
standard deviation =5.1
Formula :
Ron scored 88 on the final.
So, put x=88
Ron's z-score is <u>+1.2</u>.
Also, 88= 86+(1.2 x 5.1) = Mean +1.2 x (standard deviation)
i.e. This means that Ron's final score is<u> 1.2 standard deviation above the mean </u>.