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2 years ago

Find the coordinate of the point P that divides the directed line segment from A to B in the given ratio. Round the

Mathematics

1 answer:

ivann1987 [24]2 years ago

4 0

Answer:

P(1, -5)

Step-by-step explanation:

The segment must be divided into two parts in the ratio of 3:4.

That means the segment length to one part to the other part are in the ratio 7:3:4.

We find the distance in x and in y between the points, and we divide the horizontal and vertical distances in the same ratio.

Horizontal distance:

From x = 7 to x = -7, the distance is 14.

We need to divide a distance of 14 into two segments with the ratio of 3:4.

7x:3x:4x

14:3x:4x

14 = 3x + 4x

14 = 7x

The change in x = 2

7x:3x:4x

14:6:8

The distance in x from A is 6.

7 - 6 = 1

The x-coordinate is 1

Vertical distance:

From x = -8 to x = -1, the distance is 7.

We can easily conclude that to divide 7 into two parts with a ratio of 3:4, the parts will measure 3 and 4.

The change in y = 3

The distance in y from A is 3.

-8 + 3 = -5

The y-coordinate is -5

Answer: P(1, -5)

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3 years ago

Which is the equation of the given line (4,3) (4,-2)

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3 years ago

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Adult men have heights with a mean of 69. 0 inches and a standard deviation of 2. 8 inches. find the z-score of a man who is 71.

Anarel [89]

The value of the z score is 1.03.

According to the statement

we have given that the value of mean and standard deviation and we have to find the value of the z score.

So, For this purpose we know that the

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And the given values are:

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And the value of x is 71.9 inches.

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substitute the values in it then

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z = 1.03

So, The value of the z score is 1.03.

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10 months ago

Why is the grid in Example 1 a good way to<br> represent a percent?

Tems11 [23]

Answer:

percent means <u>per hundred </u>

Between the 100 squares, 60 of them are shaded

so you do 60/100

it's kind of like correcting tests, you have 100 questions, you got 80 of them right so its going to be 80/100

when you calculate percentage, you do the fraction x 100

so it's 60/100 = 0.6 x100 = 60%

hope that answers your question

Don't hesitate to leave a comment if you are confused about something

Step-by-step explanation:

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3 years ago

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Using 50 observations, the following regression output is obtained from estimating y = β0 + β1x + β2d1 + β3d2 + ε. Coefficients

pickupchik [31]

Answer:

The answer is "789.03 and 806.16".

Step-by-step explanation:

$y\^ \ \ = -0.45 + 3.78(x) -11.88(d_1) + 5.25(d_2)$

For point a:

Calculating the value for $y\^ \ \ x = 212,\ \ d_1 = 1, and \ \ d_2 = 0$

$y\^ = -0.45 + 3.78(212) -11.88(1) + 5.25(0)$

$= -0.45 + 801.36 -11.88 + 0\\\\= 789.03$

For point b:

Calculating the value of $y\^ \ \ for \ \ x = 212, \ \ d_1 = 0, and \ \ d_2 = 1$

$y\^ = -0.45 + 3.78(212) -11.88(0) + 5.25(1)$

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3 years ago