Which linear regression equation best fits the given points?

(1,18), (4,15), (5,11), (8,9), (10,7), (13,4), (15,0)

yˆ=65x+19.2
yˆ=56x−19.2
yˆ=−65x+18.9
yˆ=−56x−18.9

Answer:

The numbers are;

x = 100/3,  y = 100/3,  z = 100/3

Step-by-step explanation:

Given the data in the question;

so let the numbers be; x , y and z

so

x + y + z = 100

now

G(x,y,z) = x + y + z - 100

F(x,y,z) = xyz

Fx = yz, Gx = 1

Fy = xz, Gy = 1

Fz = xy, Gz = 1

Fx = λ × Gx

yz = λ

Similarly, xz = lambda

And xy = lambda

From above clearly, x = y = z

x + y + z = 100

so

3x = 100

x = 100/3

since, x = y = z therefore, each number is equal to 100/3

x = 100/3,  y = 100/3,  z = 100/3

We want to find 3 positive numbers such that their sum is 100 and the product is maximum.

The maximum product is P = 37,025.93

Let's say that our 3 numbers are:

A, B, and C.

We must have:

A + B + C = 100

The product of these 3 numbers is:

P = A*B*C

For the restriction, we can write:

A = 100 - B - C

Now we can replace that in the product equation to get:

P = (100 - B - C)*B*C

P = 100*B*C - C*B^2 - B*C^2

Now we want to maximize this, to do it, we need to find the zeros of the derivate of the function. This is a two-variable function, but the dependence on C is exactly the same as the dependence on B, so we can find the zero of deriving with respect to one of these only.

dP/dB = 100*C - 2*C*B - C^2 = 0

             C*(100 - 2*B - C) = 0

One solution is C = 0, the other is:

C = 100 - 2*B

And from the first restroctopm:

A + B + C = 100

we can get:

C = 100 - A - B

Then:

100 - A - B = 100 - 2*B

Then we get A = B

And if we derive the equation for C instead of B, we will get similar results that will lead to:

A = B = C.

This is what maximizes the product, then we have:

A + B + C = 3*A = 100

A = 100/3 = 33.33

P = (33.33)^3 = 37,025.93

This is the maximum product.

If you want to learn more, you can read:

https://brainly.com/question/11212148

Answer:

88m

Step-by-step explanation:

area = 6.16msq

πrsq=6.16

22/7*rsq=6.16/100

22/7*rsq=616

rsq=616*7/22

rsq=4321/22

rsq=196

r=√196

r=14m

diameter=14*2=28m

radius=14m

circumfrence=2πr

=2*22/7*14

=44*2

=88m

Answer:

It should be 60 feet following the pattern!

It would cast a 60 foot shadow following the pattern but depending on how far the trees are apart the 30 foot tree could also cast a 40 foot shadow:)

Answer:

option 3

both (3, 2) and (2, -1) are solutions

Answer:

C

Step-by-step explanation:

-3x + y = -7

use (3, 2) as plug ins for x and y

-3x + y = -7 (rewrite)

-3 x 3 + 2 = -7 (solve)

-3 x 3 = -9

-9 + 2 = -7

same with the other numbers (2, -1)

but i'm lazy

Answer:

c. $1,291.30

Step-by-step explanation:

Calculation what will his new annual homeowners insurance premium be

Insurance premium= [$1,106.30+ ($0.37/ $100*$50,000)]

Insurance premium=$1,106.30+$185

Insurance premium=$1,291.30

Therefore what his new annual homeowners insurance premium will be is $1,291.30

Answer:

c

Step-by-step explanation:

edge 2021

Answer:

3/4

Step-by-step explanation:

do you need a deep explanation? or just a quick one?

Answer: the slope is 4/3

Explanation :

1) pick 2 points on the graph. I picked ( 30, 20) and (60,60)

2) to find m, we do rise over run. Y is the rise and x is the run.

3) subtract the y exponents from eachother over the x exponents.

4) Do this : 60-20/ 60-30 . After solving, you should get 4/3.

5) good luck

Given:

John invest $5,000 in one account and $8,000 in an account paying 4% more in interest.

Total interest in one year = $1230

To find:

The rates of the investments.

Solution:

Let x% be the rate of interest on investment $5000.

Then, (x+4)% is the rate of interest on investment $8000.

Total interest is $1230. So,

[tex]5000\times \dfrac{x}{100}+8000\times \dfrac{x+4}{100}=1230[/tex]

[tex]50x+80(x+4)=1230[/tex]

[tex]50x+80x+320=1230[/tex]

[tex]130x=1230-320[/tex]

[tex]130x=910[/tex]

Divide both sides by 130.

[tex]x=\dfrac{910}{130}[/tex]

[tex]x=7[/tex]

Now,

[tex]x\%=7\%[/tex]

[tex](x+4)\%=(7+4)\%=11\%[/tex]

Therefore, $5,000 is invested at 7% and $8,000 is invested at 11%.

Answer:

B

Step-by-step explanation:

since there is going to be an increase you will increase 800,000 using the ratio 120:100 which is choice B

Answer:  Slope intercept form:  y = mx + b

A. y = 4/7 x + 27/7

Screenshot attached.

Step-by-step explanation:  Slope is m. In this example, it is 4/7.  The y-intercept is b. in this example it is 2 in the question and 27/7 in the answer choice.

First clue why A is the answer: the slope must be the same if the lines are parallel

Answer:

Thank you

Step-by-step explanation:

Answer:

i dont know maybe you should search google. best of Luck

Step-by-step explanation:

Answer:

9x + 11

Step-by-step explanation:

5(2x+3)-(x+4)

10x+15-x-4        Use distributive property

10x-x +15-4       Combine like terms

9x + 11

Hope this helps!

Answer:

[tex]A) h=\frac{V}{\pi r^2}[/tex]

Step-by-step explanation:

[tex]V=\pi r^2h\\h=\frac{V}{\pi r^2}[/tex]

Answer:

The initial value is $78

Step-by-step explanation:

Given

[tex]Base\ Amount = \$78[/tex]

[tex]Additional = \$30[/tex] (weekly)

Required

Determine the initial value

The initial value is the amount he has in its bank account before making his weekly savings.

From the question, we have that his initial balance is $78.

Hence, the initial value is $78

However, his weekly balance can be expressed as:

[tex]Balance = Base\ Amount + Additional * number\ of weeks[/tex]

Represent number of weeks with x; So, we have:

[tex]Balance = 78 + 30 * x[/tex]

[tex]Balance = 78 + 30 x[/tex]

Answer:THXXXXXXXSSSSS FOR THE POINTS

Step-by-step explanation:

Answer:

***T O O T***

Answer:

2.29 × (2.50 × 4) is equivalent.

Step-by-step explanation:

It doesn't matter what order multiplication happens in, it will result in the same answer!

Answer:

We know that the formula to get the equation of a rational function is:

y = a * (factors of x intercepts) / (factor of vertical asymptote)

We are given the equation:

y = (3x - 18) / (2x + 1)

from the formula, we know that the value in the denominator is the factor of the vertical asymptote

So, we can write that:

2x + 1 = 0              [where x is the vertical asymptote]

x = -1/2

Therefore, the vertical asymptote of the given equation is -1/2

Here is one: (14, 48, 50)

Explanation:

AB || DC means we know that angle ABD = angle CDB. They are alternate interior angles. This is shown as the red angle markers in the diagram below.

Similarly, AD || BC leads to angle DBC = angle BDA. They are also alternate interior angles and they are marked in green in the diagram below.

So far we have two pairs of congruent angles.

The pair of congruent sides is BD = BD by the reflexive property. Any segment is congruent to itself.

So we can use ASA to prove the triangles congruent. Note the segment BD is between the angles mentioned.

Answer:

y=1/2x-1

Step-by-step explanation:

y=mx+b where m equals the slope and b equals the y-intercept. Hope this helps!

Answer:

X=100

Step-by-step explanation

you gotta get to 180 so add that hunid

The value of x in the parallelogram described is: C. 100°

In a parallelogram, opposite angles are congruent, adjacent or consecutive angles are supplementary.

x degrees and 80 degrees are consecutive angles in the parallelogram described.

Therefore:

x + 80 = 180

x = 180 - 80

x = 100°

Therefore, the value of x in the parallelogram described is: C. 100°

Learn more about parallelogram on:

https://brainly.com/question/23173716

Answer:

the answer is x-16

I hope it will help

Answer:

I think the answer is 8², I just multiplied it by it’s self(squared)

I’ve never helped someone on functions before, this one seemed comprehend able

Step-by-step explanation:

Please give me brainliest

Answer:

D.

Step-by-step explanation:

I'm 70% sure

Answer:

-5,0,0.56,12%,1/2

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

-2/3 = -4/6, -4/6 + -4/6 = -8/6 = -4/3

Answer: D. -4/3

Step-by-step explanation:

-2/3 + -4/6

make the denominators the same

so -2 * 2 and 3 * 2 = -4/6

-4/6 + -4/6 = -8/6 = -4/3

Answer:

9

Step-by-step explanation:

Answer:

balls

Step-by-step explanation:

lol hahahahahahahahhahahahahahhahahahahahahahahhahah

Answer:

two balls for every one paddle

Step-by-step explanation:

Answer:

of what?

Step-by-step explanation:

if you could send a picture Thad be great

Answer:

450 Ribbons

Step-by-step explanation:

multiply the length of 1 ribbon by how many she needs to make. we get, 0.45m x 1000bows

that's 450m ribbon.

plz mark this as brainliest and I hope I helped :)