What is the length (magnitude) of vector (-4,2)
1 answer:
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Answer:
0.0668 or 6.68%
Step-by-step explanation:
Mean time (μ)= 46 minutes
Standard deviation (σ) = 6 minutes
The z-score for any given time X is determined by:
For X = 37:
A z-score of -1.5 corresponds to the 6.68th percentile of a normal distribution. The probability that it will take less than 37 minutes to complete the test is
The probability is 0.0668 or 6.68%
Let's create a table, and use arbitrary values of x between -3 and 3 (if the solution is not in this interval, we can use another one later). If we call:
We want to find the x's for with f(x) = 0
This is the table:
And now we can evaluate f(x) in each value of x to complete the table:
The table is:
If we use this values and plot them in the cartesian plane.
We get:
And now if we plot a line that connects the points, we get the graph of the quadratic equation:
Since the problem ask us to find the value of x for which f(x) = 0, we can see both in the table and in the graph that this value is x = 2
