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miss Akunina [59]

2 years ago

12

Select the correct answer. Which equation, when solved, gives 8 for the value of x?

1 answer:

Rus_ich [418]2 years ago

8 0

The 3rd equation, as if you solve for x as shown, you will end up with equation x=8.

$\frac{5}{4}x-\frac{3}{2}x=-4+2$

$\frac{5}{4}x-\frac{6}{4}x=-2$

$-\frac{1}{4}x=-2$

$x=8$

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Sami took six quizzes in science class. The grades for the quizzes are 86, 92, 79, 96, 80, and 95. What is the median grade?

mart [117]

Answer:

The median grade would be 89

Step-by-step explanation:

To find the median, first put the numbers all in ascending order.

79, 80, 86, 92, 95, 96

Now isolate the middle term or terms. Since there is an even amount of numbers, we pick the two in the middle. To find the median, we take an average of those terms.

(86 + 92)/2 = 89

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Is rectangle EFGH the result of a dilation of rectangle ABCD with a center of dilation at the origin? Why or why not?

katrin [286]

Answer:

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Step-by-step explanation:

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2 years ago

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

beks73 [17]

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,

$x_1, x_2$ are the independent variable.

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:

$b_1 = 0.5906\\b_2 = 0.4980$

This means holding $x_2$ constant, a change of one in $x_1$ is associated with a change of 0.5906 in the dependent variable.

This means holding $x_1$ constant, a change of 1 in $x_2$ is associated with a change of 0.4980 in the dependent variable.

b) We have to estimate the value of y

$y = 29.1270 + 0.5906(180) + 0.4980(310) = 289.815$

3 0

2 years ago

Ron had 20 apples.he used 2/5 of the apples to make pies.

alexandr402 [8]

Do 20/5 and get 4. So 4 is 1/5 of 20 apples so add another and Ron would have used 8 apples to make pies!!!!!!!!!!!

5 0

2 years ago

Identify the surface whose equation is given. rho2(sin2(φ) sin2(θ) + cos2(φ)) = 49

Paha777 [63]

Answer:

The surface is a cylindrical surface with radius 7 units

Step-by-step explanation:

The equation is properly written as:

$\rho^{2} (sin^{2} \phi sin^{2} \theta + cos^{2} \phi) = 49$

The above equation takes the form $y^{2} + z^{2} = r^{2}$

Where $y^{2} = \rho^{2} sin^{2} \phi sin^{2} \theta$

$y = \rho sin \phi sin \theta$

and $z^{2} = \rho^{2}cos^{2} \phi$

$z = \rho cos \phi$

$r^{2} = 49$

r = 7 units

The surface is a cylindrical surface with radius 7 units

4 0

2 years ago