Answer:
Ordinary Least Square (OLS) for the multiple regression model involves selecting parameters of a straight line function that will minimize the sum of the squares of the variance in the given dataset and those forecasted by the straight-line function.
Cheers
Solve 2x+2y=6 and 3x-2y=11
Answer:
x = 17/5
y = -2/5
Step-by-step explanation:
2x + 2y = 6
3x - 2y = 11
sum both equations results
5x + 0 = 17
x = 17/5
2x + 2y = 6
2*17/5 + 2y = 6
34/5 + 2y = 6
2y = 6 - 34/5
2y = 30/5 - 34/5
2y = -4/5
y = (-4/5)/2
y = -2/5
verify:
3x - 2y = 11
3*17/5 - 2*-2/5 = 11
51/5 + 4/5 = 55/5
51 + 4 = 55
HELP PLEASE 50 POINTS
A mechanic charges $125 plus $25 per hour of labor. The equation c=25n+125
describes the total she would charge for a service visit, where n represents the number of
hours of labor and c is the total cost. Graph the equation and using the graph, find how
much he charges when she works 3 hours.
Answer:
See Attachment for graph
Charges = $200 when number of she works for 3 hours
Step-by-step explanation:
Given
Charges = $25 per hour + $125 (c = 25n + 125)
Required
Graph the equation.
From the graph, determine c when n = 3
To plot the graph; first, we have to determine the points to use;
When n = 1
[tex]c = 25 * 1 + 125[/tex]
[tex]c = 25 + 125[/tex]
[tex]c = 150[/tex]
When n = 2
[tex]c = 25 * 2 + 125[/tex]
[tex]c = 50 + 125[/tex]
[tex]c = 175[/tex]
When n = 3
[tex]c = 25 * 3 + 125[/tex]
[tex]c = 75 + 125[/tex]
[tex]c = 200[/tex]
When n = 4
[tex]c = 25 * 4 + 125[/tex]
[tex]c = 100 + 125[/tex]
[tex]c = 225[/tex]
Plotting n on the x axis and c on the y axis; we have
c || n
1 || 150
2 || 175
3 || 200
4 || 225
(See attachment)
From the attachment;
When she works for 3 hour; This implies that n = 3
And c = $200 when n = 3
See Proof
[tex]c = 25n + 125[/tex]
Substitute 3 for n
[tex]c = 25 * 3 + 125[/tex]
[tex]c = 75 + 125[/tex]
[tex]c = 200[/tex]
When ________ angles made by two lines and a transversal are supplementary, the lines are parallel. Question 20 options: A) corresponding B) same side interior C) alternate exterior D) alternate interior
Answer:
B) same side interior
Step-by-step explanation:
Supplementary angles are angles that can add up to the sum of angles on a straight line, [tex]180^{0}[/tex]. While a transversal in a line that passes through two parallel lines at two points.
If two lines are parallel to each other and a transversal through the lines, the sum of either same side interior angles would be supplementary.
The correct option for the given question is B, same side interior.
Answer:
B
Step-by-step explanation:
(SAT Prep) Find the value of x.
Answer:
The value of x is 30°
Step-by-step explanation:
We are given that the outer angle of the parallelogram is 60 degrees. Therefore it's respective inner angle will be 180 - 60 = 120 degrees. And, by properties of a parallelogram, the angle opposite to this angle will be 120 degrees as well.
If we draw extend the line creating angle 2x, then we will make ( 1 ) a vertical angle to 2x, ( 2 ) a 90 degree angle, and ( 3 ) and angle that we can let be y. Therefore, 2x + y = 90, and 3x + y = 120.
[tex]\begin{bmatrix}2x+y=90\\ 3x+y=120\end{bmatrix}[/tex] ,
[tex]\begin{bmatrix}6x+3y=270\\ 6x+2y=240\end{bmatrix}[/tex] ,
[tex]6x+2y=240\\-\\\underline{6x+3y=270}\\y=30[/tex],
[tex]2x + (30) = 90,\\2x = 60,\\x = 30[/tex]
Solution : x = 30°
Answer:
x = 30
Step-by-step explanation:
a+ 60 = 180
a = 120
3x+b = 120 because opposite angles in a parallelogram are equal
2x+90+b = 180 since it forms a line
2x+b = 90
We have 2 equations and 2 unknowns
3x+b = 120
2x+b = 90
Subtracting
3x+b = 120
-2x-b = -90
---------------------
x = 30
Find the domain and the range of the relation.
Find the domain of the relation. Select the correct choice below and fill in the answer box to
complete your choice.
O A. The domain is _
(Type your answer in interval notation.)
B. The domain is {_}
(Type an integer or a fraction. Use a comma to separate answers as needed.)
Find the range of the relation. Select the correct choice below and fill in the answer box to
complete your choice.
O A. The range is _
(Type an integer or a fraction. Use a comma to separate answers as needed.)
OB. The range is {_}
Answer:
1) the domain is all real numbers
2) the range is
[tex]y \geqslant 3[/tex]
Find X using the Angle Sum Theorem
Answer:
Step-by-step explanation:
x + 30 + 25 = 180
x + 55 = 180
x = 125
y + 125 = 180
y = 55
a Find the amount compounded annually on Rs 25,000 for 2 years if the rates of
interest for two years ore 10 % and 12 % respectively,
Answer:
Amount = Rs. 30250 when Rate = 10%
Amount = Rs. 31360 when Rate = 12%
Step-by-step explanation:
Given
[tex]Principal, P = Rs.\ 25,000[/tex]
[tex]Time, t = 2\ years[/tex]
[tex]Rate; R_1 = 10\%[/tex]
[tex]Rate; R_2 = 12\%[/tex]
Number of times (n) = Annually
[tex]n = 1[/tex]
Required
Determine the Amount for both Rates
Amount (A) is calculated by:
[tex]A = P(1 + \frac{r}{n})^{nt}[/tex]
When Rate = 10%, we have:
Substitute 25,000 for P; 2 for t; 1 for n and 10% for r
[tex]A = 25000 * (1 + \frac{10\%}{1})^{1 * 2}[/tex]
[tex]A = 25000 * (1 + \frac{10\%}{1})^{2}[/tex]
[tex]A = 25000 * (1 + 10\%)^{2}[/tex]
Convert 10% to decimal
[tex]A = 25000 * (1 + 0.10)^{2}[/tex]
[tex]A = 25000 * (1.10)^{2}[/tex]
[tex]A = 25000 * 1.21[/tex]
[tex]A = 30250[/tex]
Hence;
Amount = Rs. 30250 when Rate = 10%
When Rate = 12%, we have:
Substitute 25,000 for P; 2 for t; 1 for n and 10% for r
[tex]A = 25000 * (1 + \frac{12\%}{1})^{1 * 2}[/tex]
[tex]A = 25000 * (1 + \frac{12\%}{1})^{2}[/tex]
[tex]A = 25000 * (1 + 12\%)^{2}[/tex]
Convert 12% to decimal
[tex]A = 25000 * (1 + 0.12)^{2}[/tex]
[tex]A = 25000 * (1.12)^{2}[/tex]
[tex]A = 25000 * 1.2544[/tex]
[tex]A = 31360[/tex]
Hence;
Amount = Rs. 31360 when Rate = 12%
What is the range of g?
Answer:
R: {y∈R | -1 ≤ y ≤ 5}
Step-by-step explanation:
the lowest point is -1 and the highest point is 5.
Please Solve
F/Z=T for Z
Answer:
F /T = Z
Step-by-step explanation:
F/Z=T
Multiply each side by Z
F/Z *Z=T*Z
F = ZT
Divide each side by T
F /T = ZT/T
F /T = Z
Answer:
[tex]\boxed{\red{ z = \frac{f}{t} }}[/tex]
Step-by-step explanation:
[tex] \frac{f}{z} = t \\ \frac{f}{z} = \frac{t}{1} \\ zt = f \\ \frac{zt}{t} = \frac{f}{t} \\ z = \frac{f}{t} [/tex]
What is the equation of the line of best fit for the following data? Round the
slope and y-intercept of the line to three decimal places.
Answer:
the line of best fit can be approximated to:
y = -1.560 x + 22.105
Step-by-step explanation:
You are most likely expected to use a graphing tool are statistical program to calculate this. So enter the list of x-values separate from the list of y values and run the tool in linear regression mode.
Look at the attached image with the actual results including the line of best fit.
The equation can be written (rounding slope and y-intercept to 3 decimals) as:
y = -1.560 x + 22.105
The temperature dropped 15 degrees in an hour. If the starting temperature was 10 degrees, What was the final temperature?
Answer:
Step-by-step explanation:
15-10=5 degrees
Ava placed the point of her pencil on the origin of a regular coordinate plane. She marked a point after moving her pencil 4 units to the left and 7 units up. Which ordered pair identifies where Ava marked her point?
[tex] \Large{ \boxed{ \bold{ \color{lightgreen}{Solution:}}}}[/tex]
So, Let's solve this question by using cartesian plane.
Here, Origin is shown by (0, 0)Ava moves 4 units left from origin. On the left side of origin, negative x axis begins. So, she reached (-4, 0) now.Then, from that point she moved 7 units upwards. On the upper side, there is positive y axis. So, Finally she will reach point (-4, 7).(-4, 7) is the coordinate of point which is 4 units left from y axis and 7 units up from x axis.It lies on the second quadrant.Well, What is cartesian plane?
A - A Cartesian coordinate system is a coordinate system that specifies each point uniquely in a plane by a set of numerical coordinates, which are the signed distances to the point from two fixed perpendicular oriented lines, measured in the same unit of length.
━━━━━━━━━━━━━━━━━━━━
The table shows the probability distribution of student ages in a high school
with 1500 students. What is the expected value for the age of a randomly
chosen student?
Age
13
14
15
16
17
18
Probability 0.01 0.23 0.26 0.28 0.20 0.02
Answer:
Exoected age is 15.49 years
Step-by-step explanation:
Expected age
= E(x)
= sum (p(i)*i)
= 13*0.01+14*0.23+15*0.26+16*0.28+17*0.20+18*0.02
= 15.49
After basketball practice, Courtney spent extra time working on free throws. Overall, she made 3 of her 5 shots. What percent of her total shots did she make?
Answer:
I know the answer
Step-by-step explanation:
Courtney made 60% of her shots
Answer:
she made a 60%
Step-by-step explanation:
first you do this 3÷5
that gives you .60
inorder to get a percent multiply by 100
that gives you an end result of 60
add the percent sing and your done 60%
hope i helped
Is the square root of 65 a rational number
Answer:
No
Step-by-step explanation:
The square root of 65 is irrational.
It is not a rational number because 65 is not a perfect square.
The square root of 65 is 8.06225775...
The square root of 65 is not a rational number.
65 is not a perfect square which means it's impossible to
find a whole number times itself to give us 65.
On a calculator if you type in the square root of 65,
you will get an infinite decimal number.
The decimal values never end and never have same repeated pattern.
State the correct polar coordinate for the graph shown.
It is not the option selected.
One way to write this polar coordinate is to say (2.5, pi/2) meaning we move 2.5 units away from the origin toward the pi/2 direction
pi/2 radians = 90 degrees
An alternative is to write (-2.5, 3pi/2) which is where we aim at the 3pi/2 direction (270 degrees) and walk backward while still facing directly south, and we'll arrive at the same location.
Hellllppp!!!! Please!Match the numbers with the correct label.
Answer:
(a = 1/7 (b = .2 (c = 3/9
Step-by-step explanation:
1/7 = .14
1/4 = .25
3/9 = .33
a & b are lower than 1/4 and c is higher
Noel pays $1.54 in sales tax.The sales tax rate is 5.5%,what the original price
Step-by-step explanation:
Hi, there!!!
Let's simply work with it,
Here,
tax=$1.54
rate of tax= 5.5%
now, let the original price be x.
so, 5.5% of x= $1.54 { tax amount = tax% of original price}.
or, 5.5/100 × x= $1.54
or, 5.5x = $1.54×100
or, x= $28.
Therefore, the original price was $28.
Hope it helps...
Need Help
Please Show Work
Answer:
-36
Step-by-step explanation:
3*12=36
she is going down (negative) so, it is -36
not sure if this is what you are asking for, if not try this
0-12-12-12=-36
please help with this
Answer:
[tex]\sin \left(\theta \right)-\frac{1}{2}\cos \left(2\theta \rightt)+C[/tex]
Step-by-step explanation:
We are given the graph of r = cos( θ ) + sin( 2θ ) so that we are being asked to determine the integral. Remember that [tex]\:r=cos\left(\theta \right)+sin\left(2\theta \right)[/tex] can also be rewritten as [tex]\int \cos \left(\theta \right)+\sin \left(2\theta \right)d\theta \right[/tex].
Let's apply the functional rule [tex]\int f\left(x\right)\pm g\left(x\right)dx=\int f\left(x\right)dx\pm \int g\left(x\right)dx[/tex],
[tex]\int \cos \left(\theta \right)+\sin \left(2\theta \right)d\theta \right[/tex] = [tex]\int \cos \left(\theta \right)d\theta \right+\int \sin \left(2\theta \right)d\theta \right[/tex]
At the same time [tex]\int \cos \left(\theta \right)d\theta \right=\sin \left(\theta \right)[/tex] = [tex]sin( \theta \right ))[/tex], and [tex]\int \sin \left(2\theta \right)d\theta \right[/tex] = [tex]-\frac{1}{2}\cos \left(2\theta \right)[/tex]. Let's substitute,
[tex]\int \cos \left(\theta \right)d\theta \right+\int \sin \left(2\theta \right)d\theta \right[/tex] = [tex]\sin \left(\theta \right)-\frac{1}{2}\cos \left(2\theta \right)[/tex]
And adding a constant C, we receive our final solution.
[tex]\sin \left(\theta \right)-\frac{1}{2}\cos \left(2\theta \rightt)+C[/tex] - this is our integral
2. 2(x+4) -5 = 3 + 3
Step-by-step explanation:
2x + 8 - 5 = 6
2x + 3 = 6
2x = 6 - 3
2x = 3
x = 3/2
Answer:
2 ( x+4) -5 = 3+3
=) 2x +8-5=6
=) 2x+3=6
=) 2x= 6-3
=)2x = 3
=) x =3/2= 1.5
What is 9.3 to the 8th power
Answer: 55958180.97
Step-by-step explanation:
9.3 x 9.3 x 9.3 x 9.3 x 9.3 x 9.3 x 9.3 x 9.3
86.49 x 86.49 x 86.49 x 86.49
= 55958180.97
Find the value of f (x)=x²-4 and g(x)=3x+2 Find the value of f (-1)g(-1)
Answer:
3
Step-by-step explanation:
[tex]f(-1)g(-1) \text{ is the same thing as } f(-1)\cdot g(-1). \\\text{Therefore, find f(-1) and g(-1)}[/tex]
[tex]f(-1)=(-1)^2-4\\f(-1)=1-4\\f(-1)=-3[/tex]
[tex]g(-1)=3(-1)+2\\g(-1)=-3+2\\g(-1)=-1[/tex]
Therefore:
[tex]f(-1)\cdot g(-1)\\=(-3)(-1)=3[/tex]
Suppose your weekly local lottery has a winning chance of 1/106. You buy lottery from them for x weeks in a row. What is the probability that you never win?
Answer:
The probability mass function that you never win [tex]^xC_o[/tex] = [tex](\dfrac{999999}{1000000})^x[/tex]
Step-by-step explanation:
Given that;
the winning chance of a weekly local lottery = [tex]\dfrac{1}{10^6}[/tex]
= [tex]\dfrac{1}{1000000}[/tex]
The probability of losing = 1 - probability of winning (winning chance)
The probability of losing = [tex]1- \dfrac{1}{1000000}[/tex]
The probability of losing =[tex]\dfrac{999999}{1000000}[/tex]
The probability mass function that you never win [tex]^xC_o[/tex] = [tex](\dfrac{1}{10^6} )^0 ( \dfrac{999999}{1000000})^x[/tex]
The probability mass function that you never win [tex]^xC_o[/tex] = [tex](\dfrac{999999}{1000000})^x[/tex]
Could anyone help me with this question please? Thank you.
Answer:
C) 549 km²
Step-by-step explanation:
The area of the regular pentagon is given by ...
A = (1/2)Pa
where P represents the perimeter, and 'a' represents the apothem (6.2 km). Of course, the perimeter is 5 times the side length.
The lateral area is the product of the perimeter and the height:
LA = Ph
Using these formulas, and recognizing the total area includes two (2) pentagons, we have ...
total area = (LA) +2(A) = Ph +2(1/2)Pa = P(h +a)
= (45 km)(6 km +6.2 km) = 549 km^2
What does the tape measure say Measurement # 4 is?
Answer:
It looks like 6 and one eighth of an inch.
Nour drove from the Dead Sea up to Amman, and her altitude changed at a constant rate. When she began driving, her altitude was 400400400 meters below sea level. When she arrived in Amman 222 hours later, her altitude was 100010001000 meters above sea level. Let yyy represent Nour's altitude (in meters) relative to sea level after xxx hours.
Answer:
y = 700x - 400
Step-by-step explanation:
A negative number represents an altitude below sea level.
Beginning: -400
y = mx + b
y = mx - 400
In 2 hours the altitude was now 1000 m.
1000 m - (400 m) = 1400 m
The altitude went up 1400 m in 2 hours. The rate of change is
1400/2 m/h = 700 m/h
The rate of change is the slope.
y = 700x - 400
Answer:
The graph answer is below :)
Step-by-step explanation:
Look at the figure below. which ratio represents tan 0?
A -5/4, B -4/5, C -3/4, D 3/5.
The required value of the tanФ is given as -3/4. C option is correct.
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
What are trigonometric equations?These are the equation that contains trigonometric operators such as sin, cos.. etc. In algebraic operations.
here,
Tan(180 - Ф) = -tanФ = perpendicular / base
From figure, perpendicular= 12 and base = 16
-tanФ = 12 / 16
tanФ = -3/4
Thus, the required value of the tanФ is given as -3/4. C option is correct.
Learn more about trigonometry equations here:
brainly.com/question/22624805
#SPJ5
Use mathematical induction to prove the statement is true for all positive integers n. The integer n3 + 2n is divisible by 3 for every positive integer n.
Answer:
Prove:
Using 1
n³+2n = (1)³+2(1) = 1+2= 3 ---> 3/3= 1 ✔
Using 2
n³+2n = (2)³+2(2)= 8+4=12 --> 12/3=4✔
Using 3
n³+2n= (3)³+2(3)= 27+6= 33 --> 33/3=11✔
So it is proven that n³+2n is divisible by 3 for every positive integer.
I hope this helps
if u have question let me know in comments
If A = { 10, 30,} B = { 10, 20, 30, 40, 50, 60, 70, 80,90} find A ∩ B There are options. Choose one option only: A- { 30 ,10} B- { 90 ,30 ,10} C- { 90 } D- { 80, 70, 60, 50, 40, 20 }
[tex]A \cap B=\{10,30\}[/tex]
Answer:
[tex] \boxed{ \purple{10 \: , 30}}[/tex]Option A is the correct option
Step-by-step explanation:
[tex] \mathrm{Given}[/tex]
A = { 10 , 30 }
B = { 10 , 20 , 30 , 40 , 50 , 60 , 70 , 80 , 90 }
Now, let's find A ∩ B
A ∩ B = { 10 , 30 } ∩ { 10 , 20 , 30 , 40 , 50 , 60 , 70 , 80 , 90 }
The intersection of sets A and B is the set of all elements which belong to both A and B
A ∩ B = { 10 , 30 }
The intersection of sets A and B is denoted by ( A ∩ B ) and read as A intersection B.
Hope I helped!
Best regards!
