4 years ago

Find an equation of the line that has a y intercept of -2 and is perpendicular to the graph of the line x - 2y = 5 ?

1 answer:

5 0

First, you'd get x-2y=5 into y=mx+b form. Which would be done like this:
-2y=-x+5 (subtract x in order to get it to the other side
-2y/-2=-x/-2+5/-2 (Divide everything by -2 in order to isolate y)
y=1/2x+-5/2
Once you're done with that, you just have to replace the y-intercept, and find the negative reciprocal of our slope (1/2), which would be -2
This then makes your answer
y=-2x-2

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In a random sample, 10 students were asked to compute the distance they travel one way to school to the nearest tenth of a mile.

elixir [45]

Answer:

Mean = 3.12, Variance = 3.324, Standard deviation = 1.8232

Step-by-step explanation:

Total number of students = 10 students.

Given data, 1.1, 5.2, 3.6, 5.0, 4.8, 1.8, 2.2, 5.2, 1.5, 0.8

To find the mean, at first we have to take the sum of all given data and then divide with the number of students.

Let the data is X, = 1.1, + 5.2, + 3.6, + 5.0, + 4.8, + 1.8, + 2.2, + 5.2, + 1.5, + 0.8 = 31.2

Mean = 31.2 / 10 = 3.12

$\text{Standard deviation, S} = \sqrt{\frac{\sum x^{2} - \left [ (\sum x)^{2}/n \right ]}{n-1}} \\S = 1.8232 \\\rm The \ Variance = S^{2} = 3.324$