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LiRa [457]
4 years ago
10

(1 pt)

Mathematics
1 answer:
Tema [17]4 years ago
7 0
The correct answer is choice D, or (-3, 2). We can tell because if we plot out the points, we go left 3, down 3 for (-3, -3), then right 7, down 3 for (7, -3), then right 7, up 2 for (7, 2), therefore the remaining point would have to be left -3, up 2, which is shown in choice D.
Hope that helped =)
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Find the distance from point A(−14, 5) to the line −x+2y = 14.
Ad libitum [116K]

Answer:

The distance from point A to given line is: 2√5 or 4.472 units

Step-by-step explanation:

Given equation of line is:

-x+2y= 14

And the point is:

A = (x_1,y_1) = (-14,5)

The standard form of equation of line is:

Ax+By+C = 0

Converting the given equation into standard form

-x+2y-14=0

The distance of a point (x1,y1) from a line is given by the formula:

d = \frac{|Ax_1+By_1+C}{\sqrt{A^2+B^2}}

In the given details,

A = -1, B = 2, C = -14

x1 = -14, y1 = 5

Putting the values in the formula

d = \frac{|(-1)(-14)+(2)(5)-14|}{\sqrt{(-1)^2+(2)^2}}\\d = \frac{14+10-14}{\sqrt{1+4}}\\d = \frac{10}{\sqrt{5}}\\d = \frac{5*2}{\sqrt{5}}\\d = \frac{\sqrt{5}*\sqrt{5}*2}{\sqrt{5}}\\d = 2\sqrt{5}\\d = 4.472\ units

Hence,

The distance from point A to given line is: 2√5 or 4.472 units

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3 years ago
A manufacturer knows that their items have a normally distributed length, with a mean of 13.2 inches, and standard deviation of
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Answer:

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Step-by-step explanation:

Given

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and

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We have to find z-score for the given value 13.4 first

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We have to find the area to the left of given z-score

The area to the left is 0.5358

So, the probability of choosing an item with length less than 13.4 is 0.5358 ..

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