Solving systems of equations by substitution y=4x and 6x-4y=-10
1 answer:
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Option D (The student should have used as the slope of the perpendicular line.) is correct.
Step-by-step explanation:
We need to identify the error that the student made in finding equation of the line that passes through (-8,5) and is perpendicular to y = 4x + 2
The slope of the required line would me -1/m because both lines are perpendicular.
So, slope of new line will be: -1/4
because the equation of slope-intercept form is: where m is the slope
Now, for finding equation the student used point slope form i.e
where y_1 and x_1 are the points and m is the slope.
Putting values:
x_1=-8, y_1=5 and m=-1/4
This is the correct solution.
The student made error by using the wrong slope he used 2 instead of -1/4
in the step
So, Option D (The student should have used as the slope of the perpendicular line.) is correct.
Keywords: Equation of line using Slope
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Answer: 0.025
Step-by-step explanation:
Given : A statistics professor plans classes so carefully that the lengths of her classes are uniformly distributed between the interval [48.0 minutes, 58.0 minutes].
The probability density function :-
Now, the probability that a given class period runs between 50.25 and 50.5 minutes is given by :-
Hence, the probability that a given class period runs between 50.25 and 50.5 minutes =0.025
Similarly , the probability of selecting a class that runs between 50.25 and 50.5 minutes = 0.025