Answer:
C
Step-by-step explanation:
Step 1
7.7 - 2 = w - 2 + 2Step 2
LHS ⇒ 7.7 - 2 = 5.7RHS ⇒ w - 2 + 2 = w [-2 and 2 cancel out = 0]⇒ 5.7 = 2Mitch did not make a mistakeBradford 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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What is 14 inches rounded to the nearest inch?
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.
Please help me answer question one. I have a lot of work geometry work that I need done.
Which algebraic expressions are polynomials? check all that apply. pi x minus startroot 3 endroot 5 y x2y 2 – 4x3 12y startfraction 4 over x endfraction – x2 – 16 3.9x3 – 4.1x2 7.3
By the definition of the polynomials, the expression [tex]3.9x^3 - 4.1x^2 + 7.3[/tex] is the only polynomials.
What are 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
solve.
p/4 + 8 = 7
p= what?
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:
[tex]\boxed{\sf{p=-4}}[/tex]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]
Therefore, the final answer is p=-4.I hope this helps! Let me know if you have any questions.
A group of 12 friends bought a boat costing $5,424. Each of the friends paid an equal share of the cost. How much did each person pay?
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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What is the value of the expression 13x−34 when x=14?
Answer:
your answer will be 13×14-34
148
Solution:First, plug in the value of x:13(14)-34Now, multiply 13 times 14:182-34Now, subtract:148Hope it helps.
Do comment if you have any query.
What is the image of ( − 6 , 9 ) after a reflection over the y-axis?
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:
GEOMETRY QUESTIONS PLEASE HELP
What is the measure of /A?
Quadrilateral ABCD is inscribed in a circle.
What is the measure of angle A?
Answer:
135 degree is the measure of angle A
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!
Which sum is equal to 3 1/4+1 2/5?
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]
formula for percent increase
Answer:
% Increase = Increase / Original Number × 100.
Step-by-step explanation:
Answer:
final value - original value / original value × 100
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.
Mr. blue's first year salary is $30,000 and it doubles each year. what is the explicit rule for the sequence in simplified form?
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!!!
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?
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:
The diameter of a circle is 4 in. Find its circumference in terms of T.
Answer:
C = 12.57 inches
Step-by-step explanation:
C=2πr
C=πd=π·4≈12.56637in
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
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]
I hope this helps you
:)
Item 3 The Ferrells save $150 each month for their next summer vacation. Write an equation that they can use to find y, their savings, after x months.
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
3x + 3y = 18
5x + 3y = 28
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]
Given the following data points, calculate the curve of best fit. Show all steps.
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.
Equation of Straight LineData;
∑x = 16∑y = 50.9∑x^2 = 35∑xy = 24.6The 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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The average temperature of the top 5 meters in April is 22,500 cubic meters. 2. Typical seawater has a salinity of 35 psu (practical salinity units). In which month is the difference in salinity of surface and bottom waters the greatest
The months where the difference in salinity of surface and bottom waters was the greatest was in April and September.
What is salinity?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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5. Do 4 x (1 + 3%) and 4 x (1 + 3)' have the same answer? Explain.
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
Frances bought 144 shares of dwyn horticulture for $7.73 apiece. her broker charged her a commission of $46.15 for the purchase. if the yearly dividend on dwyn horticulture is 61 cents per share, what is the annual yield on frances’s stock? a. 0.0758 b. 0.0789 c. 0.0132 d. 0.0320
The annual yield on Frances’s stock approximately will be 0.0758. Then the correct option is A.
What is Algebra?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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what would a proof look like for this equation?
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. which equation represents the cost, in dollars, of shipping a package that weighs x pounds?
The equation represents the cost (in dollars) and shipping a package that weighs x pounds is y = 2(x - 1) + 6.
What is the linear system?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
value of YZC in the follow
Answer:
URMMM WHERE IS THE DIAGRAM...
scientists measure a bacteria sample in a petri dish
Answer:
to grow bacterial cultures