Bradford Electric Illuminating Company is studying the relationship between kilowatt-hours (thousands) used and the number of rooms in a private single-family residence. A random sample of 10 homes yielded the following. Number of Kilowatt-Hours Number of Kilowatt-Hours Rooms (thousands) Rooms (thousands) 12 9 8 6 9 7 10 8 14 10 10 10 6 5 5 4 10 8 7 7 a. Determine the regression equation. B. Determine the number of kilowatt-hours, in thousands, for a six-room house
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
What is the number of kilowatt-hours, in thousands, for a six-room house?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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Which statement compares the absolute value of -1/2 and 2/5
Answer:
i have no idea
Step-by-step explanation:
Determine a series of transformations that would map polygon ABCDE onto polygon A'B'C'D'E'?
Answer:
Dilate by a scale factor of 0.5 with the origin as the center of dilation.
Rotate 90° clockwise about the origin
Step-by-step explanation:
Polygon ABCD:
A = (-2, 4)B = (-8, 2)C = (-4, 8)D = (-2, 6)Dilate by a scale factor of 0.5 with the origin as the center of dilation (pink polygon on attached diagram).
This means multiply the x and y values of the points by 0.5:
A → (-1, 2)
B → (-4, 1)
C → (-2, 4)
D → (-1, 3)
Rotate 90° clockwise about the origin: (x, y) → (-y, x)
A' = (-2, 1)
B' = (-1, 4)
C' = (-4, 2)
D' = (-3, 1)
So the transformations are:
Dilate by a scale factor of 0.5 with the origin as the center of dilation.Rotate 90° clockwise about the origin.6. A festival is renting out booths to vendors for $55 for one day. There are 65 vendors and the festival occurs on Friday, Saturday, and Sunday. If the vendors participate on all the days, how much money will be collected by the festival from the vendors?
Answer: $10,725
Step-by-step explanation:
First, we'll find the money for all the vendors on one day.
65 * $55 = $3,575
Next, Friday [1], Saturday [2], and Sunday [3] is three (3) days. We will multiply $3,575 by 3.
$3,575 * 3 = $10,725
$10,725 will be collected from by the festival from the vendors.
Sphere B is the image of sphere A after dilation by a scale factor of 44. If the surface area of sphere B is 432 km^2, find the surface area of sphere A, the preimage.
27 km²
Step-by-step explanation:[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]
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In the circle below, find the measure of arc ED. Only input the number for
the answer. *
A
B
52°
C
E
D
Answer:
arc ed is 38 degrees
Step-by-step explanation:
dc is 90
bc is 52
ad is 180
90 + 52 = 142
180 - 142 = 38
ab (38) is the same as ed
ab = ed
ed = 38
Answer:
142
Step-by-step explanation:
the whole circle is 360 degrees.
90+52=142
180-142=38
AB=38 is the same as DE.
90+52+38+38=218
360-218=142.
NAME:
6. This equation is the conversion formula to change the units for measuring
temperature from degrees Fahrenheit to degrees Celsius.
C = (F-32)
Which expression best describes the variables C and E?
A C varies inversely to F
B. C is dependent on F.
Fis dependent on C.
D. Fvaries inversely to C.
7. At a farmer's market, strawberries are priced at 4pounds for $8.
what point can be used to create a right triangle the āb as its hypotenuse
Triangle DHI is translated to the left 6 units and up 5 units up. What are the new coordinates for point D'?
Question 19 options:
(3, -2)
(-1, 2)
(-2, 3)
(-3, 2)
Answer:
c=(-2,3)
Step-by-step explanation:
hope u get it right
Solve the system of equations by elimination:
2 - 5y = 1
2x + 5y = 17
Answer:
X = 8 And y = 1/5
Step-by-step explanation:
add equaction i and education ii,
2 -5y = 1
2x +5y = 17
------------------
2+2x = 18
or, 2x = 18 - 2
or X = 16/2
or X = 8
Again from equation i,
2 - 5y = 1
or, -5y = 1 - 2
or, -5y = -1
or, y = -1/-5 (cut the subtraction sign)
or, y = 1/5
Pls explain how u got ur answer need asapp
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?
I need help please, You survey a random sample of 75 students at DPMS. Of those students, 30 said their favorite type of music is rap. Out of 1600 students at DPMS, predict the number of students whose favorite type of music is rap.
The predicted number of students is an illustration of ratios
Of the 1600 students, 640 are expected to have a rap as their favorite type of music
How to predict the number of students?The given parameter can be represented using the following ratio:
Ratio = Rap : Total Students
So, we have:
30 : 75 = Rap : 1600
Express as fraction
30/75 = Rap/1600
Multiply both sides by 1600
Rap = 640
Hence, 640 of the 1600 students are expected to have a rap as their favorite type of music
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Restaurants often slip takeout menus under Eli's apartment door. So far, Eli has collected 28 menus, including 7 for Italian food. Considering this data, how many of the next 24 menus slipped under Eli's door should you expect to be from Italian restaurants?
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!
In general, what does it mean for a transformation to be a rigid motion? Explain.
Answer:
A rigid motion is when an object is moved from one location to another and the size and shape of the object have not changed. Two figures are congruent if and only if there exists a rigid motion that sets up a correspondence of one figure as the image of the other.
Hope u like it
Which image below is an equilateral triangle?
Triangle A
Triangle B
Triangle C
Triangle D
Answer:
A
Step-by-step explanation:
The definition of an equilateral triangle is one that has equal angles and equal sides. Of all of the pictures, Triangle A is the only one to have equal length sides.
Makes the equation 6x – 14 + 3(2x – 1) = 5 – 2(x – 10) true? *
Bodmas 6x+14= 9x -14×1x=14-10=4 x=10
Please help me with this quick!
Answer:
y = -4x+7 is the equation simplified and answer choice A is the right answer.
Step-by-step explanation:
Your equation: y - 6 = -4(x+1)
Your Objective: You need to simplify the original equation and find another equation that is equivalent to the original equation.
Let's focus on the -4(x+1) side first.
This needs to have the distributive property applied.
Take -4 and multiply it by x and 1.
You should have -4x+1
Your equation now:
y - 6 = -4x+1
We want y to be by itself.
So add 6 to both sides.
y = -4x+1+6
Use PEMDAS
y = -4x+7
The first answer choice "A" is correct.
You had 90 books on your shelf. You decided to donate 20%. How many books were donated? How many do you have left?
1. 30 donated and 88 left
2. 24 donated and 72 left
3. 18 donated and 64 left
4. 18 donated and 72 left
The sets of numbers 3, 4, 5 and 8, 15, 17 are Pythagorean triples. Use what you know about the Pythagorean Theorem and explain or show why they are Pythagorean triples. Be sure to show your work for each set of triples! (5 points)
8 packets of candy costs rs 340? What is the cost of 15 packets of candy?
Answer:
637.5 or 637.50
Step-by-step explanation:
what is negative 2 - 2/3?
Answer:
-2.66666666667
or just
-2.67
Step-by-step explanation:
Question 2 of 10
A payroll register lists the total current period earnings as $23,400. It lists the total withholdings and deductions as $6,350. What does the journal entry to record payroll expenses list as the debits and credits for Salaries and Wages Expense and Salaries and Wages Payable?
A.
Salaries and Wages Expense: $23,400 credit; Salaries and Wages Payable: $17,050 debit
B.
Salaries and Wages Expense: $23,400 debit; Salaries and Wages Payable: $6,350 credit
C.
Salaries and Wages Expense: $23,400 debit; Salaries and Wages Payable: $17,050 credit
D.
Salaries and Wages Expense: $23,400 credit; Salaries and Wages Payable: $6,350 debit
The journal entry to record payroll expenses is Salaries and Wages Expense: $23,400 debit; Salaries and Wages Payable: $6,350 credit.
What is the journal entry?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:
What is the difference between a positive and negative correlation???
SHORT ANSWER
Answer:
For example, when two stocks move in the same direction, the correlation coefficient is positive. Conversely, when two stocks move in opposite directions, the correlation coefficient is negative. -- Credit Investopedia
Step-by-step explanation:
The sum of two polynomials is 10a2b2 – 8a2b 6ab2 – 4ab 2. if one addend is –5a2b2 12a2b – 5, what is the other addend? 15a2b2 – 20a2b 6ab2 – 4ab 7 5a2b2 – 20a2b2 7 5a2b2 4a2b2 6ab – 4ab – 3 –15a2b2 20a2b2 – 6ab 4ab – 7
The other polynomial addend, when the sum of two polynomials is 10a2b2 – 8a2b 6ab2 – 4ab is 15a²b²- 20a²b + 6ab² - 4ab + 7.
What is polynomial?Polynomial equations is the expression in which the highest power of the unknown variable is n (n is real number).
The sum of two polynomials is,
[tex]10a^2b^2 - 8a^2b+ 6ab^2 - 4ab+2[/tex]
The one polynomial addend is,
[tex]-5a^2b^2 +12a^2b - 5[/tex]
Let suppose the other polynomial addend is f(a,b). Thus,
[tex](-5a^2b^2 +12a^2b - 5)+f(a,b)=(10a^2b^2 - 8a^2b+ 6ab^2 - 4ab+2)[/tex]
Isolate the second polynomial as,
[tex]f(a,b)=(10a^2b^2 - 8a^2b+ 6ab^2 - 4ab+2)-(-5a^2b^2 +12a^2b - 5)\\f(a,b)=10a^2b^2 - 8a^2b+ 6ab^2 - 4ab+2+5a^2b^2 -12a^2b + 5[/tex]
Arrange the like terms as,
[tex]f(a,b)=10a^2b^2+5a^2b^2 - 8a^2b -12a^2b+ 6ab^2 - 4ab + 2+5\\f(a,b)=15a^2b^2- 20a^2b + 6ab^2 - 4ab + 7[/tex]
Hence, the other polynomial addend, when the sum of two polynomials is 10a2b2 – 8a2b 6ab2 – 4ab is 15a²b²- 20a²b + 6ab² - 4ab + 7.
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What is the measure of angle 5 if the measure of angle 2 is 45° and the measurement of angle 3 is 60°.
Answer:
cant see the photo? but answer is 15
Step-by-step explanation:
Please help me answer question one. I have a lot of work geometry work that I need done.
60,582,876+85,632,895
Answer:
answer 100%100 is 146215771
formula for percent increase
Answer:
% Increase = Increase / Original Number × 100.
Step-by-step explanation:
Answer:
final value - original value / original value × 100
What is the perimeter of a 5 by 12 triangle?
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
Can you answer them for me in a simple way so I can finish learning for my test who ever does it I appreciate there hard work ?
Thank you
Answer:
13:192 in2
Step-by-step explanation
with the pythagoras theorem you can find the base =6
base x height /2= area =24
two triangles=24.2 =48
square one side =12
area=12.12=144
area of the shape = 144+48=192
Using the pythagorean theorem, we can calculate the base of the right triangle to be 6 (1 triangle)
-> The triangle's base length is 12.
So, the square's length is also 12.
We can now calculate the area of the figure : 12 x 12 + 12 x 8 : 2 = 192 in2