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Rashid [163]
3 years ago
13

Find the value of x in the triangle shown below. Choose 1 answer:

Mathematics
1 answer:
Ad libitum [116K]3 years ago
7 0

For the triangle, x is 12 units long.

Step-by-step explanation:

Step 1:

According to the Pythagorean theorem, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

The hypotenuse is the side which is the longest in the triangle and is always opposite the right angle.

In the given triangle, the hypotenuse is 13 units long. The other two sides measure 5 units and x units.

Step 2:

By substituting the known values, we get

13^{2} = 5^{2} + x^{2} .

x^{2} = 169 - 25 = 144.

x = 12.

Rounding this off to the nearest hundred, we get that x is 12 units long.

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. The estimate regression equation for a model involving two independent variables and 10 observations follows.y = 29.1270 + 0.5
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Answer:

b) y = 289.815 when x_1 = 180 \text{ and } x_2 = 310

Step-by-step explanation:

We are given the following information in the question:

y = 29.1270 + 0.5906x_1 + 0.4980x_2

where y is the dependent variable,

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The multiple regression equation is of the form:

y = b_0 + b_1x_1 + b_2x_2

where,

b_0: is the intercept of the equation and is the value of dependent variable when all the independent variable are zero.

b_1: It is the slope coefficient of the independent variable x_1.

b_2: It is the slope coefficient of the independent variable x_2.

  • The regression coefficient in multiple regression is the slope of the linear relationship between the dependent and the part of a predictor variable that is independent of all other predictor variables.

Comparing the equations, we get:

b_1 = 0.5906\\b_2 = 0.4980

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