Find the area of the rectangle
Pls hurry and answer!!​

For the regression equation and e the number of kilowatt-hours, in thousands, for a six-room house  is mathematically given as

Y = 1.33-0.667X and  5.3332

Generally, the equation for the  standard deviation  is mathematically given as

[tex]s[/tex]ₓ =[tex]\sqrt{\frac{\sum\(X-\=X)^2}{n-1} }[/tex]

= [tex]\sqrt{\frac{66.9}{10-1} }[/tex]

= 2.72

[tex]s_y[/tex] = [tex]\sqrt{\frac{36.4}{10-1} }[/tex]

= 2.01

therefore correlation coff

r = [tex]\frac{44.6}{(10-1)(2.72)(2.01)}[/tex]

r = 0.9038

In conclusion the regression equation is given

b = r_sy/sx

b = (0.9038)(2.01/2.72)

 = 0.667

intercept

a = 7.4-0.667(9.1)

a = 1.33

The regression equation is

Y = 1.33-0.667X

(b) number of kilowatts x = 6 house

Y = 1.33-0.667X

Y = 1.33-0.667(6)

 = 5.3332

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The equation of curve of best fit is y = -30.17x + 14.49. To find the curve of best fit, we would require two equations which are explained in details below.

Data;

The equation of straight line is y = ax + b

If we modify it to fit into this problem,

[tex]\sum y = na + b \sum X ... equ(i)\\\sum xy = a \sum x + b \sum x^2 ...equ(ii)[/tex]

Let's substitute the values into the equations and solve

[tex]\sum y = na + b \sum X ... equ(i)\\\sum xy = a \sum x + b \sum x^2 ...equ(ii)\\50.9 = 6*a + b*16 ...equ(i)\\24.6 = a*16 + b*35 ...equ(ii)\\50.9 = 6a + 16b ...equ(i)\\24.6 = 16a + 35b ...equ(ii)[/tex]

Let's solve both equation (i) and equation (ii)

[tex]50.9 = 6a + 16b...equ(i)\\24.6 = 16a + 35b ...equ(ii)\\a = -30.17, b = 14.49[/tex]

We can substitute the values of a and b into the equation

[tex]y = ax + b\\y = -30.17x + 14.49[/tex]

The equation of curve of best fit is y = -30.17x + 14.49

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Answer:

39,492...

Step-by-step explanation:

Wouldn't the minimum yearly budget of City B just be the sum of all the monthly expenses multiplied by 12?

Answer:

(5, 1 )

Step-by-step explanation:

3x + 3y = 18 → (1)

5x + 3y = 28 → (2)

subtract (1) from (2) term by term to eliminate y

(5x - 3x) + (3y - 3y) = 28 - 18

2x + 0 = 10

2x = 10 ( divide both sides by 2 )

x = 5

substitute x = 5 into either of the 2 equations and solve for y

substituting into (1)

3(5) + 3y = 18

15 + 3y = 18 ( subtract 15 from both sides )

3y = 3 ( divide both sides by 3 )

y = 1

solution is (5, 1 )

[tex]x=6-y[/tex]

[tex]x=\frac{28-3y}{5}[/tex]

Answer:

URMMM WHERE IS THE DIAGRAM...

The months where the difference in salinity of surface and bottom waters was the greatest was in April and September.

It should be noted that salinity simply means the accumulation of salt in land as well as water.

In this case, the months where the difference in salinity of surface and bottom waters was the greatest was in April and September.

This is because many events take place such as continuous flowing or river water into the sea, evaporation, and melting of ice.

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The journal entry to record payroll expenses is ​Salaries and Wages Expense: $23,400 debit; Salaries and Wages Payable: $6,350 credit.

In order to record the salaries and wages, the journal entry is to debit the Salaries and Wages Expense account. This is because money is leaving the company account.

The total deductions represent future payments. Thus it would be credited to the Salaries and Wages Payable account.

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Answer: C. Salaries and Wages Expense: $23,400 debit; Salaries and Wages Payable: $17,050

Step-by-step explanation:

By the definition of the polynomials, the expression  [tex]3.9x^3 - 4.1x^2 + 7.3[/tex] is the only polynomials.

Polynomials are those algebraic expressions that consist of variables, coefficients, and constants. The standard form of polynomials has mathematical operations such as addition, subtraction, and multiplication.

a. [tex]\pi x -\sqrt{3} +5y[/tex]

This expression consists of 2 variables so this is not a polynomial.

b. [tex]x^{2} y^{2} -4xy^{3} +12y[/tex]

This expression consists of 2 variables so this is not a polynomial.

c. [tex]\frac{4}{x} -4x^{2}[/tex]

Here variable x is in the denominator in term 4/x so this is not a polynomial.

d. [tex]3.9x^3 - 4.1x^2 + 7.3[/tex]

This expression satisfies all conditions of being a polynomial hence this is a polynomial.

e. [tex]\sqrt{x} -16[/tex]

Here the power of variable x is not an integer so it's not a polynomial.

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Answer:

A B E

Step-by-step explanation:

cuz i know

Answer:

C = 12.57 inches

Step-by-step explanation:

C=2πr

C=πd=π·4≈12.56637in

Answer:

6

Step-by-step explanation:

1st You have to find what percent is 7 for 28. (25%)

2nd You have to use that 25% in the 24. You have to find what is 25% of 24 (6)

There is your answer

Have a good day!

Answer:

The perimeter of the triangle is 30 units.

Step-by-step explanation:

So

[tex]x^2[/tex]= [tex]5^2\\[/tex]+[tex]12^2[/tex]

[tex]x^2[/tex]= 25+144

[tex]x^2[/tex]=169

[tex]x^2\\[/tex]=[tex]\sqrt 169[/tex]

[tex]x[/tex]=13

The greatest side / hypotenuse of the triangle = 13

The perimeter of a triangle = Sum of all sides

5+12+13

30 units

Answer:

452

Step-by-step explanation:

5424/12 is equal to 452

Each person pay $452.

What is Division method?

Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications.

For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.

Given that;

A group of 12 friends bought a boat costing $5,424.

Now,

Since. A group of 12 friends bought a boat costing $5,424.

Hence, The cost of each person pay = $5,424 / 12

                                                         = $452

Thus, Each person pay $452.

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#SPJ2

Answer: Explicit Rule: a_n=30,000 • 2^n-1

Recursive Rule: a_n = 2a_n-1; a_1 = 30,000

Step-by-step explanation: the explicit rule for a geometric sequence is a_n = a_1 • r^n-1 and the recursive rule is a_n= r • a_n -1.
a_1 is the first term of the sequence, which is this case is 30,000. R is the common ration, which is 2 since it doubles each time. Substitute those numbers into the formulas and that’s what you’ll get. Hope this helps. God bless you!!!

27 km²

[tex]SA=4\pi Jr^2[/tex]

  [tex]4\pi r^2_B=432[/tex]

      [tex]r^2_B=\frac{108}{\pi}[/tex]

      [tex]r_B=\frac{6\sqrt3}{\sqrt{50}}[/tex]

[tex]r_A=\frac{r_B}{4}=\frac{3\sqrt3}{2\sqrt\pi}[/tex]

[tex]S_0SA=4\pi Y\begin{matrix}2\\A\\\end{matrix}[/tex]

         [tex]=4\pi\bullet\frac{27}{4\pi}[/tex]

         [tex]=27\ km[/tex]

   [tex]Y_B:Y_A=4=1[/tex]

  [tex]SA_B:SA_A=16:1[/tex]

                 [tex]432\div 16=27\ km^2[/tex]

                          [tex]simple\ relation.[/tex]

I hope this helps you

:)

The equation represents the cost (in dollars) and shipping a package that weighs x pounds is y = 2(x - 1) + 6.

A Linear system is a system in which the degree of the variable in the equation is one. It may contain one, two, or more than two variables.

A shipping company charges $6 to ship a package that weighs up to 1 pound and $2 for each additional pound or portion of a pound.

Let x be the number of pounds and y be the total cost, then we have

y = 2(x - 1) + 6

This is the required equation that describes the condition.

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Answer:

Its A on edge, f(x)=6+2[x-1]

Step-by-step explanation:

, where x > 0

The annual yield on Frances’s stock approximately will be 0.0758. Then the correct option is A.

Algebra is the study of mathematical symbols and the rule involves manipulating these mathematical symbols.

Frances bought 144 shares of Dwyn horticulture for $7.73 apiece. her broker charged her a commission of $46.15 for the purchase.

Then the total amount spent by the company will be

→ 144 × $7.73 + $46.15 = $ 1159.27

If the yearly dividend on Dwyn horticulture is 61 cents per share, then the annual yield on Frances’s stock will be

[tex]\Rightarrow \dfrac{0.61 \times 144}{11592.27} \\\\\Rightarrow 0.07577[/tex]

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Answer:

your answer will be 13×14-34

148

Hope it helps.

Do comment if you have any query.

Answer:

[tex]\huge\boxed{\bf\: \frac{93}{20}=4.65}[/tex]

Step-by-step explanation:

[tex]3 \frac { 1 } { 4 } + 1 \frac { 2 } { 5 }[/tex]

Now,

[tex]3 \frac { 1 } { 4 } \\= \frac{4 * 3+1}{4}\\= \frac{13}{4}[/tex]

Then,

[tex]1 \frac { 2 } { 5 }\\= \frac{1* 5+2}{5} \\= \frac{7}{5}[/tex]

So,

[tex]3 \frac { 1 } { 4 } + 1 \frac { 2 } { 5 }\\= \frac{13}{4}+\frac{7}{5}\\ \\\mathrm{LCM = 20}\\\\= \frac{65}{20}+\frac{28}{20} \\=\boxed{\bf\: \frac{93}{20}=4.65}[/tex]

[tex]\rule{150pt}{2pt}[/tex]

Answer:

cant see the photo? but answer is 15

Step-by-step explanation:

Answer:

% Increase = Increase / Original Number × 100.

Step-by-step explanation:

Answer:

final value - original value / original value × 100

Answer:

to grow bacterial cultures

Answer:

y = 150x

Step-by-step explanation:

If y = savings and they save $150 each month then you can just multiply $150 by each month to get the total savings

Answer:

6 inches

Step-by-step explanation:

1 inch = 2.54 cm.

 1 cm = 1/2.54 inches.

14 cm = 14/2.54

14 cm, when rounded to nearest inch, results in around 6 inches.

Answer:

135 degree is the measure of angle A

Answer:

[tex]\huge\boxed{\bf\: p = -4}[/tex]

Step-by-step explanation:

p/4 + 8 = 7

Bring 8 to the left side of the equation.

p/4 = 7 - 8

p/4 = - 1

Bring 4 to the other side.

p = - 1 * 4

p = - 4

[tex]\rule{150pt}{2pt}[/tex]

Answer:

Step-by-step explanation:

To find the value of p, isolate it on one side of the equation.

p/4+8=7

First, you have to subtract by 8 from both sides.

p/4+8-8=7-8

Solve.

p/4=-1

Then, you multiply by 4 from both sides.

4p/4=4(-1)

Solve.

Multiply the numbers from left to right.

4(-1)=-4

[tex]\Longrightarrow: \boxed{\sf{p=-4}}[/tex]

I hope this helps! Let me know if you have any questions.

Answer:

no. so the first answer I got was 4.12 and the other 16

Step-by-step explanation:

4×(1+3%)

3%=0.03

0.03+1= 1.03

1.03*4= 4.12

4*(1+3)

1+3=4

4*4=16

I hope that helps you