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1 answer:
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Answer:
x =
Step-by-step explanation:
3x+6 = 4x^2
4x^2 -3x -6 = 0
x =
The mean of a dataset is the sum of all data elements divided by the count of the elements.
The location of the 6th score relative to the mean is 5 points below the mean
Let:
<em> Mean</em>
<em> 5 scores</em>
<em> 6th scores</em>
Given that:
The 5 scores that are 1 above the mean implies that:
The mean of a dataset is calculated using:
So, we have:
Open brackets
Multiply both sides by 6
Make b the subject
This means that the 6th score is 5 points below the mean
Read more about mean at:
Answer:
<em>The value 60 represents the speed of the vehicle the counselor is driving.</em>
Step-by-step explanation:
<u>Linear Function</u>
The linear relationship between two variables d and t can be written in the form
Where m is the slope (or rate of change of d with respect to t) and b is the y-intercept or the point where the graph of the line crosses the y-axis
The function provided in our problem is
Where d is the distance in miles the counselor still needs to drive after t hours. Rearranging the expression:
Comparing with the general form of the line we can say m=-60, b=130. The value of -60 is the slope or the rate of change of d with respect to t. Since we are dealing with d as a function of time, that value represents the speed of the vehicle the counselor is driving. It's negative because the distance left to drive decreases as the time increases