Steve Caples, a real estate appraiser in Lake Charles, Louisiana, has developed a regression model to help appraise residential housing in the Lake Charles Area. The model was developed using recently sold homes in a particular neighborhood. The price (y) of the house is based on the square footage (x) of the house. The model is:

Y=33,478+62.4X

The coefficient of correlation for the model is 0.63.

(a) Use the model to predict the selling price of a house that is 1,860 square feet.

(b) A house with 1,860 square feet recently sold for $165,000. Explain why this is not what the model predicted.

(c) If you were going to use multiple regression to develop an appraisal model, what other quanititative variables might be included in the model?

(d) What is the coefficient of determination for this model?

Answer:

14.0008 grams of 27% and 7.9992 grams of 52%

Step-by-step explanation:

We know that in the end we want 22 grams of 36.09% copper, meaning in the end we want 36.09% of the 22 grams to be copper. This means we can multiply 36.09% by 22 to see how much copper we want in the end.

To find out how much of each alloy to use, we can multiply the percentage of copper in the alloy be a variable x, which will be how much of that alloy we use. For the other alloy, we can multiply the percentage by (22-x) grams as we know in the end we want 22 grams and if x+y=22, than y would equal 22-x, and in this case this simplifies it to only use a single variable.

Now finally, making the equation we get 27x+52(22-x)=36.09(22). We can solve this and get 27x+1144-52x=793.98, then combine like terms and get -25x+1144=793.98. Next you have to subtract 1144 from both sides to get -25x=-350.02. Dividing both sides by -25 we get x=14.0008. This is how many grams of 27% copper was used. Now we can subtract this from 22 to get how much 52% copper was used, and we get 22-14.0008=7.9992 grams of 52% copper.

Answer:

The above statement is written as

[tex]x + 1 \times \frac{1}{2} of \: x[/tex]

of means multiplication

So the final answer is

[tex]x + \frac{3}{2} x[/tex]

Hope this helps you.

Vector A has components (5,6) and vector B has components (-12, 3). What is the direction of the vector C = 2A - B

Answer:

22.24° to the positive x-axis.

Given vectors:

A (5, 6)

B (-12, 3)

C = 2A - B             ------------(i)

First let's represent the two vectors in unit notation as follows;

A = 5 i + 6 j

B = -12 i + 3 j

Now substitute these vectors into equation (i) as follows;

C = 2(5 i + 6 j) - (-12 i + 3 j)

C = 2(5 i + 6 j) + (12 i - 3 j)

C = 10 i + 12 j + 12 i - 3 j                   [collect like terms]

C = 10 i + 12 i + 12 j - 3 j

C = 22 i + 9 j                         ----------------(ii)

The direction, θ, of vector C can be calculated as follows;

θ = tan⁻¹([tex]\frac{9}{22}[/tex])

θ = tan⁻¹(0.409)

θ = 22.24°

Since both the x and y components of vector C are positive, the direction of the vector is 22.24° to the positive x-axis.

Answer:

Common denominator - 42

Step-by-step explanation:

6 - 6, 12, 18, 24, 30, 36, 42

7 - 7, 14, 21, 28, 35, 42

Hope this helps! :)

Answer:

Null hypothesis: [tex]\mu_1= \mu_2[/tex]

Alternative hypothesis:[tex]\mu_1 =\neq \mu_2[/tex]

And for this case we assume that we have equal variances so that means:

[tex]\sigma =\sigma_1 =\sigma_2[/tex]

For this case the degrees of freedom are given by:

[tex] df= n_1 +n_2 -2[/tex]

And replacing we got:

[tex] df= 20+20 -2= 38[/tex]

And the best answer would be:

a. 38

Step-by-step explanation:

For this problem we want to test the following:

Null hypothesis: [tex]\mu_1= \mu_2[/tex]

Alternative hypothesis:[tex]\mu_1 =\neq \mu_2[/tex]

And for this case we assume that we have equal variances so that means:

[tex]\sigma =\sigma_1 =\sigma_2[/tex]

For this case the degrees of freedom are given by:

[tex] df= n_1 +n_2 -2[/tex]

And replacing we got:

[tex] df= 20+20 -2= 38[/tex]

And the best answer would be:

a. 38

Answer:

Step-by-step explanation:

2^2=1.75^2+3^2-2*3*1.75cos x

4=3.0625+9-10.5 cosx

10.5cos x=9-4+3.0625

10.5cosx=8.0625

cos x= 8.0625/10.5≈0.77

x≈40 degrees

Answer:  D) 40 degrees

Step-by-step explanation:

Let  A = θ

then a = 2       b = 3     c = 1.75

Use the Law of Cosines:

a² = b² + c² - 2bc · cos A

2² = 3² + 1.75² - 2(3)(1.75) · cos θ

4 = 9 + 3.0625 - 10.5 cos θ

4 = 12.0625 - 10.5 cos θ

-8.0625 = -10.5 cos θ

[tex]\dfrac{-8.0625}{-10.5}=\cos \theta\\\\\\\cos^{-1}\bigg(\dfrac{-8.0625}{-10.5}\bigg)=\theta\\\\\\\large\boxed{39.838=\theta}[/tex]

Answer:

Your answer is B. Tell me if you need graphics)

it would be C

My best assumption here is you misplaced x^2 in this function. Mostly what is done with the answer C is the function is being FACTORED, and broken down into its simplest form.

Answer:

least common denominator of the rational expressions below is x(x-7)(x+3)

Step-by-step explanation:

factotized form of denominators

x²-7x

=x(x-7)

x²-4x-21

=x²-7x+3x-21

=x(x-7)+3(x-7)

=(x+3)(x-7)

i hope this will help you :)

Answer:

least common denominator of the rational expressions below is x(x-7)(x+3)

Step-by-step explanation:

factotized form of denominators

x²-7x

=x(x-7)

x²-4x-21

=x²-7x+3x-21

=x(x-7)+3(x-7)

=(x+3)(x-7)

i hope this will help you :)

Answer:

23.14

Step-by-step explanation:

Solve for the area of the figure by dividing it up into parts.  You can divide into a half-circle and a triangle

Half-Circle

The diameter is 6.  This means that the radius is 3.  Use the formula for area of a circle.  Divide the answer by two since you only have a half-circle.

A = πr²

A = π(3)²

A = 9π

A = 28.274

28.274/2 = 14.137

Triangle

The base is 3 and the height 6.  Use the formula for area of a triangle.

A = 1/2bh

A = 1/2(6)(3)

A = 3(3)

A = 9

Add the two areas together.

14.137 + 9 = 23.137 ≈ 23.14

The area is 23.14.

Answer:

Step-by-step explanation:

The figure consists of a semi circle and a triangle

Area of the figure = Area of semi circle + Area of triangle

Area of semi circle is 1/2πr²

where r is the radius

radius = diameter/2

radius = 6/2 = 3

Area of semi circle is

1/2π(3)²

1/2×9π

14.14 sq. units

Area of a triangle is 1/2×b×h

h is the height

b is the base

h is 6

b is 3

Area of triangle is

1/2×3×6

9 sq. units

Area of figure is

14.14 + 9

= 23.14

Which is 23 sq. units to the nearest hundredth

Hope this helps you.

Answer:

Step-by-step explanation:

in x²+y²+2gx+2fy+c=0

center=(-g,-f)

radius=√((-g)²+(-f)²-c)

if center is not changed ,then c will change .

Here only coefficients of  E will change.

Answer:

hope it will help uh ...u will slowly get over it..

Answer:

log (3)           log (x)  

---------    +      ---------

    2                     2

Step-by-step explanation:

a. distribute to get → log (3)           log (x)  

                                  ---------    +      ---------

                                     2                     2

Hope this helped! :)

log√(3x) can be written in the expanded form as [tex]\frac{1}{2}[/tex] [log (3) + log (x)].

A logarithm is simply the opposite function of the exponentiation.

It is the exponent to which a number or value is raised to get some other number.

That is, if c = aˣ, then we can write it as x =logₐ c.

We know that,

√a can be written as (a) ^(1/2).

Similarly,

log√(3x) = log (3x)^(1/2)

Now, we have a rule for logarithms that, log aᵇ = b log a.

So,

log√(3x) = log (3x)^(1/2)

              = [tex]\frac{1}{2}[/tex] log (3x)

Using the multiplication rule of logarithms, log (ab) = log (a) + log(b),

              = [tex]\frac{1}{2}[/tex] [log (3) + log (x)]

Hence the expanded form is [tex]\frac{1}{2}[/tex] [log (3) + log (x)].

Learn more about Logarithms here :

https://brainly.com/question/29291192

#SPJ2

Answer

The additive inverse is

-x/-y

That is equal to x/y

hope this may help you