Answer:
See Explanation
Step-by-step explanation:
The question has missing details as no link is provided to the "question 3".
However, I'll give a worked solution on how to calculate the equation of a regression line.
Using the following data:
[tex]\begin{array}{cc}x & {y} & {43} & {99} & {21} & {65} \ \\ {25} & {79} & {42} & {75} \ \end{array}[/tex]
Calculate the equation of the regression line.
The equation is calculated using:
[tex]y = mx + b[/tex]
Where:
[tex]m = \frac{n(\sum xy ) - (\sum x)(\sum y)}{n(\sum x^2) - (\sum x)^2}[/tex]
and
[tex]b = \frac{(\sum y)(\sum x^2) - (\sum x)(\sum xy)}{n(\sum x^2) - (\sum x)^2}[/tex]
So, first we fill in the table with columns x^2, y^2 and xy
[tex]\begin{array}{ccccc}x & {y} & {xy} & {x^2} & {y^2 }& {43} & {99} & {4257} & {1849} & {9801} & {21} & {65} &{1365} &{441} & {4225}\ \\ {25} & {79} & {1975} & {625} & {6241}& {42} & {75} &{3150} & {1764} & {5625}\ \end{array}[/tex]
From the above table.
[tex]\sum x = 43+21+25+42[/tex]
[tex]\sum x = 131[/tex]
[tex]\sum y = 99+65+79+75[/tex]
[tex]\sum y = 318[/tex]
[tex]\sum xy = 4257+1365+1975+3150[/tex]
[tex]\sum xy = 10747[/tex]
[tex]\sum x^2 = 1849 + 441 + 625 + 1764[/tex]
[tex]\sum x^2 = 4679[/tex]
[tex]\sum y^2 = 9801 + 4225 + 6241 + 5625[/tex]
[tex]\sum y^2 = 25892[/tex]
[tex]n =4[/tex]
Solving for m
[tex]m = \frac{n(\sum xy ) - (\sum x)(\sum y)}{n(\sum x^2) - (\sum x)^2}[/tex]
[tex]m = \frac{4 * 10747 - 131*318}{4*4679 -(131)^2}[/tex]
[tex]m = \frac{1330}{1555}[/tex]
[tex]m = 0.86[/tex] --- approximated
Solving for b
[tex]b = \frac{(\sum y)(\sum x^2) - (\sum x)(\sum xy)}{n(\sum x^2) - (\sum x)^2}[/tex]
[tex]b = \frac{318*4679 - 131*10747}{4*4679-131^2}[/tex]
[tex]b = \frac{80065}{1555}[/tex]
[tex]b = 51.49[/tex]
The equation becomes:
[tex]y = mx + b[/tex]
[tex]y = 0.86x + 51.49[/tex]
Apply the above steps and you will arrive at a solution.
Given the function k(t)=2t-1:
a) evaluate k(2)
b) solve k(t) =7
Answer:
hope it helped have a nice day
93 = 2x + 18 + x = 3x + 18
Answer:
x=25
Step-by-step explanation:
To get this answer you need to simplify everything that you can. So basically, first you would combine 2x and x to get 3x+18. Note that you don't need to use the second part of the equation if you don't want to. Same with the third because they are all equal. Noting this, you subtract 18 from both sides of the equation leaving you with 75= 3x. Proceed to divide both sides by three and end with the answer 25=x.
the product of (2h+5)2 what is the first , middle ,and last term
Answer:
Looks like a toy for the kids and the kids are doing well 6 I have been doing a lot of work on the graph of my own and my
help me Factor 2x + 8 please.
6 of 8
Decrease £19064.67 by 19.5%
Give your answer rounded to 2 DP
G
£
Answer:
£15347.07
Step-by-step explanation:
Given data
Amount=£19064.67
% decrease=19.5%
let us find the value of 19.5%
=19.5/100*19064.67
=0.195*19064.67
=£3717.6
Hence the new Amount after the decrease is
=19064.67-3717.6
=£15347.07
Write the equation for a line that is parallel to the line y=-1/3x -4 and passes through the point (3, -1)
Answer:
y = -1/3x
Step-by-step explanation:
Since the line has to be parallel, that means it will have the same slope. So, we use the given point and slop to solve for the new y= mx + b using the equation y - y = m( x - x)
m= -1/3 x = 3 y = -1
y + 1 = -1/3(x - 3)
y + 1 = -1/3x + 1
y = -1/3x
Evaluate 9.3x when 8.9y and x=7 and y=8.
Answer:
136.3
Step-by-step explanation:
I assume it is asking you to add both 9.3x and 8.9y together. First you would multiply 9.3 by 7 and 8.9 by 8 which gives you 65.1 + 71.2 which equals 136.3.
Quick I need it help
Answer:
8 hours
Step-by-step explanation:
it's increasing by 6 so at the end there's a reminder of 2.
Answer:
7
Step-by-step explanation:
60-16=44
44÷6≈7
I need to find cos^-1 (1/2)
Answer:
1.04719755 or π/3
Step-by-step explanation:
Hope this helps
1. Solve for x in the following problem.
Answer:
X=36
Step-by-step explanation:
The width of a rectangle is 23 yd. What is the perimeter of the rectangle if the length is 6 yd less than the width?
a. 40 yd
c. 391 yd
b. 104 yd
d. 80 yd
10 x 5 / 2 x 4533432
DON'T USE CALCULATOR AND SHOW YOUR WORK OR NO BRIANLEST
Answer:
113335800
Step-by-step explanation:
solve it step by step
10 x 5/2 is 25
25 x 4533432= 113335800
Answer:
113335800
Step-by-step explanation:
10x5=50
2x4533432=9066864
9066864+50=113335800
If (x + 1)(x - 3) = 12, then which of the following statements is true?
x+1=0 or X-3=0
X +1 = 12 or X - 3 = 12
OX-5 = 0 or x + 3 = 0
Answer:
x=−3 or x=5
Step-by-step explanation:
Margo’s dog, named Todd, weighed 120 pounds last year. She now weighs 180 pounds. What is the percent of change
Answer:
150%
Step-by-step explanation:
George has a box of marbles. Each marble weighs the same amount. When George places 37 marbles on a scale, the total weight is 148 grams. Which equation
models the weight (in grams), w, of m marbles?
(A) W=0.25m
(B) W=0.75m
(C) W=4m
(D) W=4.5m
PLEASE ASAP!
Answer:
Take 148÷37. Which equals 4. The answer is C.
If I add a -5 to both sides of an inequality, then the inequality symbol will change direction. True or False
Answer:
true
Step-by-step explanation:
Factor the expression below.
4x2 - 1
A 25 foot ladder is leaning against a building. The foot of the ladder is 7 feet from the base of the building. What is the angle the
ladder makes with the building?
Answer:
Step-by-step explanation:
You have the hypotenuse and the adjacent, so use cosine.
SOHCAHTOA
Take the inverse cosine of both sides, which requires a calculator
cos(Ф) = 7/25
Ф = 73.74°
Determine whether each relation is a function. If so, provide the domain and range.
You want to cover a circular clock in fabric. If the radius of the clock is 6 inches. then how many square inches of fabric will you need?
Answer:
18.84
Step-by-step explanation:
To find the diameter of an question, multiple the radius by 2, since the radius always covers half of the circular clock. Then multiple 12 x pi = 18.84.
(pi = 3.14)
What is the value is x
X=
9514 1404 393
Answer:
x = 10
Step-by-step explanation:
The angle bisector divides the sides proportionally.
(2x +1)/12 = (x +4)/8
2(2x +1) = 3(x +4) . . . . . multiply by 24
4x +2 = 3x +12 . . . . . . . eliminate parentheses
x = 10 . . . . . . . . . . . . . . subtract 2+3x
HELP HELP ME PLEASEEEEEEE
The sum of three times a number and six is nine more than the number
2/5 kilogram of soil fills 1/3 of a countainer. Can 1 kiligram of soil fit in the container?
Answer:
Yes
Step-by-step explanation:
If 2/5kg fills one third, let's multiply 2/5kg by 3 to find out how much soil the conatainer can hold.
(2/5kg)(3) = 9/5kg = 1.8kg
1.8kg>1kg, so the answer is yes
I need help with this math today
Answer:
120 + 10x
or
10(12 + x)
Step-by-step explanation:
Answer asap please!! Sorry man my computer is mad dirty
Answer:
C. between 4.4 and 4.6Step-by-step explanation:
Because if you add 22 and 8 together you get 30 and once you get 30 you subtract 10 gaining 20 and then you divide 20 getting [tex]2\sqrt{5}[/tex].
22+8= 30
30-10= 20
[tex]\sqrt{20} = 2\sqrt{5[/tex]
Answer:
B
Step-by-step explanation:
If wrong don't rate and I'll edit it
Find x and the indicated sides.
Find x. *
5 points
S
X -
4
14
V
* - 6
R
T
Your answer
This is a required question
Answer: Can’t solve without picture.
Step-by-step explanation:
You should add a picture or at least draw it. It can’t be solved without it because the sides need to correlate together.
Solve for r 7 = 0.2(r + 3) - -5
Answer:
57 for the way you wrote it. -10 if you write it backwards.
Step-by-step explanation:
pls answer, show work A jacket at a clothing store is being discounted by 10%. If the jacket was originally priced at x dollars, which of the following expressions does NOT represent the final price of the jacket before sales tax is added?
A.
x – 0.10x
B.
x(1 – 0.10)
C.
x – 1.10x
D.
0.90x
Answer:
C
Step-by-step explanation:
This is the only possible correct answer because the other three all show the final price as 0.90x, which is correct since the price is the normal one minus 10 percent. C is incorrect because it suggests the normal price has a 10% tax, or extra value on it.
What type of number is -4.8 +56i?
Answer:
Step-by-step explanation:
It's an imaginary number, where i = √(-1)