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sashaice [31]
3 years ago
11

1. Use the distributive property to simplify. 3 (a – 2c)

Mathematics
1 answer:
cluponka [151]3 years ago
5 0
3a-6c is ans as 3x2=6
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Listed below is data on profit and market capitalization for a sample of 15 different firms in U.S. Profit is the y variable and
MissTica

Answer:

Step-by-step explanation:

Hello!

You have two study variables:

Dependent variable

Y: Profit of the firm in the U.S.

Independent variable

X: Market capitalization of the firm

a.

See the scatterplot in the attachment.

Looking at the graphic it seems that there is a positive regression between the profit and the market capitalization, meaning that every time the market capitalization of the firm increases, the profit of this firm also increases. But not all the "firms" adjust linearly, so I wouldn't expect the regression to be powerful.

b.

The regression model is E(Yi)= α + βXi

Where the parameters of the model are α and β, these two parameters are to be estimated to estimate the regression equation. The estimator for α is a and the estimator for β is b:

a= Y[bar] - bX[bar]

b= [∑XY-(∑X*∑Y)/n]/[∑X²-(∑X)²/n]

I'll use a statistic software to calculate the estimated regression equation:

^Yi= a + bXi

^Yi= 325.89 + 0.07Xi

c.

You need to predict the value of Y (Profit) given a value of X= 70721.3 (million). To make this prediction you have to use the estimated equation:

^Yi= 325.89 + 0.07Xi

^Yi= 325.89 + 0.07(70721.3)= 5276.381

The predicted profit for a market capitalization value of 70,721.3 is 5276.381 million.

I hope this helps!

6 0
3 years ago
What Information does a Credit Card Statement give you? What information will
igomit [66]

Answer:

This will include your current balance and statement balance, the amount of credit you have available, any fees or interest you've been charged since the previous statement and the time period your statement covers. This section may also include figures related to your cash credit line.

Step-by-step explanation:

4 0
3 years ago
The water from a fire hose follows a path described by y equals 2.0 plus 0.9 x minus 0.10 x squared ​(units are in​ meters). If
Alecsey [184]

Answer:

The resultant velocity is 12.21 m/s.

Step-by-step explanation:

We are given that the water from a fire hose follows a path described by y equals 2.0 plus 0.9 x minus 0.10 x squared ​(units are in​ meters).

Also, v Subscript x is constant at 10.0 ​m/s.

The water from a fire hose follows a path described by the following equation below;

y=2.0 + 0.9x-0.10x^{2}

The velocity of the x component is constant at =  v_x=10.0 \text{ m/s}

and the point at which resultant velocity has to be calculated is (9.0,2.0).

Let the velocity of x and y component be represented as;

v_x=\frac{dx}{dt} \text{   and    }   v_y=\frac{dy}{dt}

Now, differentiating the above equation with respect to t, we get;

y=2.0 + 0.9x-0.10x^{2}

\frac{dy}{dt} =0 + 0.9\frac{dx}{dt} -(0.10\times 2)\frac{dx}{dt}

\frac{dy}{dt} = 0.9\frac{dx}{dt} -0.2\frac{dx}{dt}

v_y = 0.9v_x -0.2v_x

v_y = 0.7v_x

Now, putting v_x=10.0 \text{ m/s} in the above equation;

v_y = 0.7 \times 10.0 = 7 m/s

Now, the resultant velocity is given by = v=\sqrt{v_x^{2}+v_y^{2}  }

                            v=\sqrt{10^{2}+7^{2}  }

                               = \sqrt{149} = 12.21 m/s

5 0
3 years ago
Can anyone help me pls asap​
PIT_PIT [208]

Answer:

NA OLL SMART

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
A rectangular prism has a length of 1 1/4 centimeters, a width of 4 centimeters, and a height of 3 1/4 centimeters. What is the
Brut [27]
We know that

[volume of a prism]=length*<span>width*height
 </span><span>length=1 1/4 cm-------> (1*4+1)/4-------> 5/4 cm
</span><span>width = 4 cm
height=</span><span>3 1/4 cm---------> (3*4+1)/4------> 13/4 cm
</span>[volume of a prism]=(5/4)*4*13/4-----------> 65/4--------> 16.25 cm³

the answer is
the volume is 16.25 cm³  (16 1/4 cm³)
5 0
3 years ago
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