two students have examined the scatter plot shown in have created in line best fit for the data. student A believes that the line of best fit for the data is y= -2x + 24, while student B believes that the line of best fit for the data is y = 1.5 + 23
*Determine which student created a better line of best fit given the data in the graph. ​

Answer:

15.5

Step-by-step explanation:

9.1^2 + 12.5^2 = 239.06

square root of 239.06 is 15.5

Answer:

Answer:age of new student is 13.4 years

Step-by-step explanation:

SUM of ages all 40 students =average age times 40

=15*40=600

after leaving 18 years old student

SUM of ages of 39 students will be 600-18=582

after adding new student with age x

SUM of ages of 40 students will become 582+x

and the average would be (582+x)/40

which is given as 14.885

so we get equation

(582+x)/40=14.885

582+x=14.885*40=595.4

x=595.4-582

x= 13.4

age of new student is 13.4 years

Hope it will help you

Please mark as brainliest answer

the sudent age is 13.4

Step-by-step explanation:

SUM of ages all 40 students =average age times 40

=15*40=600

after leaving 18 years old student

SUM of ages of 39 students will be 600-18=582

after adding new student with age x

SUM of ages of 40 students will become 582+x

and the average would be (582+x)/40

which is given as 14.885

so we get equation

(582+x)/40=14.885

582+x=14.885*40=595.4

x=595.4-582

x= 13.4

age of new student is 13.4 years

The two statements that help to prove that if segment PR is x, then x² = 97 are:

A line segment is a piece or part of a line having two endpoints.

Here, the statements that help to prove that if segment PR is x, then x² = 97 are Segment PR • segment SR = 81 and that Segment PR • segment SR = 16.

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9514 1404 393

Answer:

Step-by-step explanation:

Personally, the "work" I like to do when finding higher-degree polynomial zeros is writing the equation into a graphing calculator. The rational zeros are usually fairly obvious (for school problems), and the irrational ones often can be arrived at without a lot of trouble.

__

1. The graph in the first attachment shows the zeros are -1, -1/2, 3. (You expect a zero with 2 in the denominator because of the leading coefficient.)

__

2. The graph in the first attachment shows the zeros are -3, -2.236, and +2.236. Factoring the function by grouping shows you the factors to be ...

  f(x) = (x^3 +3x^2) -(5x +15) = x^2(x +3)-5(x +3) = (x +3)(x^2 -5)

The quadratic factor can be factored using the form for "difference of squares":

  f(x) = (x +3)(x -√5)(x +√5)

The value of √5 is about 2.236, matching the numbers shown on the graph.

The zeros are -3, -√5, +√5.

__

3. The graph in the second attachment shows the zeros are -2.449, -1/2, 2,  +2.449. (As in problem 1, you expect a zero with 2 in the denominator.) Factoring out the rational zeros* gives ...

  f(x) = (2x +1)(x -2)(x^2 -6) = (2x +1)(x -2)(x -√6)(x +√6)

The zeros are -1/2, 2, -√6, +√6.

* The "work" of the synthetic division is shown in the third attachment. The coefficients of the quadratic are reduced by a factor of 2 from the result of division by (x+1/2) so they effectively show the quotient from division by (2x+1).

__

4. The graph in the fourth attachment shows the zeros are 0.268, 1, 3.732. Factoring out the rational zero gives ...

  f(x) = (x -1)(x^2 -4x +1)

The zeros of the quadratic factor can be found any of several ways. One of my favorite is to use the graph to discover the vertex. For the vertex form ...

  y = (x -h)^2 +k

the roots are h±√(-k). The vertex form of the quadratic term is

  y = (x -2)^2 -3

so the roots are 2±√3.

The zeros are 1, 2-√3, 2+√3.

Answer:

The answer is 4.5

Step-by-step explanation:

.caculator.....hehe

Answer:

4.5

Step-by-step explanation:

If you divide 3/4 by 1/6 you will get 4.5. Hope this helps.

Answer:

13 inches

Step-by-step explanation:

10 * 1/4 = 2 1/2 inches

16 * 1/4 = 4 inches

2(2 1/2) + 2(4) = 13 inches

Answer:

Its 4 feet, The other person is wrong and did not explain it the way the question says.

Step-by-step explanation:

Answer:

y = Ae^2xcos√3 x + Be^2xsin√3 x

Step-by-step explanation:

Given the differential equation

y''-4y' +7y =0

Let my = y' and m²y =y''

The auxiliary equation is expressed as;

m²y - 4my +7y = 0

(m²-4m+7)y =0

Divide through by y;

m²-4m+7= 0

Factorize the auxiliary equation

m = 4±√16-4(7)/2

m = 4±√-12/2

m = 4±2√3 i/2

m = 2+√3i

From the complex number a = 2(real part)

b = √3 (imaginary part)

Substitute into the general solution

y = Ae^axcosbx + Be^axsinbx

y = Ae^2xcos√3 x + Be^2xsin√3 x

I'm not sure how many equations you are asking for, but hopefully, you can use what I wrote here to solve your actual question. Here is my go:

3x+10+2x+2+5x

First, add all the x's together:

3x+2x+5x=10x

Next, add all our numerals together:

10+2=12

Put it together!

10x+12

Answer:

(0,8)

Step-by-step explanation:

this is my guess because 90° would move it from axis to axis, switching the x & y numbers. i could be wrong though & my appologies if i am incorrect

Answer:

77%

Step-by-step explanation:

answer: -5x+12=20

                   -12    -12

            -5x/-5= 8/-5

             x= -1.6

       Check: rewrite the orignal problem

          plug your variable

Answer:

sorry for that i did not about that give a thanks and save water for feuter . jal

Answer:

I will need to buy 22.5 pounds of turkey and pay $23.63

Step-by-step explanation:

Proportions

Each person is planned to eat 2 x 3/8 pound servings of turkey for thanksgiving dinner. This means each person will eat

[tex]2\cdot\frac{3}{4}=\frac{3}{2}[/tex]

pounds of turkey.

There are going to be 15 people at the dinner, thus the total turkey needed is:

[tex]15\cdot\frac{3}{2}=22.5~pounds[/tex]

The turkey costs $1.05 per pound, thus the total cost is

22.5*$1.05 = $23.63

I will need to buy 22.5 pounds of turkey and pay $23.63

5 video games bought.

Explanation:

Step one) identify all variables.

> y = money in bank acc AFTER buying (x) video games.

Step two) y = $40

Step three) substitute

> 40 = 90 - 10x.

Step Four) solve for x

> subtract 90 both sides.

-50 = -10x

DIVIDE by -10 on both sides ( to isolated x)

This equals 5 = x

x is number of video games bought meaning >> 5 video games bought

*sings body by Megan Thee Stallion*

Answer:

$7.05

Step-by-step explanation:

Answer:

28.2

Step-by-step explanation:

The kite is approximately 345 feet above the ground.

The height of the kite above the ground is 287 ft

The length of the string, the height of the kite (h) above ground and the perpendicular distance from the end of the kite string to the man forms a right angled triangle.

Trigonometric shows the relationship between the lengths and angles of a right angled triangle.

Therefore using trigonometric ratios:

sin(55) = h / 350

h = 287 ft

Therefore the height of the kite above the ground is 287 ft.

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Answer:

try the second one on top

Step-by-step explanation:

Answer:

n = 5/√7

Step-by-step explanation:

(√7) 5 = 7n

5√7 = 7n

7n = 5√7

n = 5√7/7

n = 5/√7

-TheUnknownScientist

(√7)5 = 7n

Divide both sides by n.

(√7)5/7 = n

Answer:

Value of investment for Sierra after two years will be $5100.5

Step-by-step explanation:

Principal Amount P =$5000

Interest rate r = 1% = 0.01

Time t = 2 years

Compounded annually n = 1

We need to find future amount A

The formula used is: [tex]A=P(1+\frac{r}{n})^{nt}[/tex]

Putting values and finding A

[tex]A=P(1+\frac{r}{n})^{nt}\\A=5000(1+\frac{0.01}{1})^{1*2}\\A=5000(1+0.01)^{2} \\A=5000(1.01)^{2}\\A=5000(1.0201)\\A=5100.5[/tex]

So, Value of investment for Sierra after two years will be $5100.5

k + 2k + 45 = 180

3k = 180-45

k = 135/3

k = 45

2k = 2* 45

90

Answer:

y+2=6x+2

Step-by-step explanation:

[tex]y+2=2(3x+1)\\y+2=6x+2\\y=6x+2-2\\y=6x[/tex]

Since the exponent/degree of x and y both the variables are 1 the equation is linear and y=6x represents a proportional relationship between x and y

Answer:

b

Step-by-step explanation:

edg2020

Answer:

C

=

C

'

−

81

2

ln

9

Step-by-step explanation:

Answer:

1 = 50⁰

2 = 130⁰

3 = 50⁰

4 = 85⁰

5 = 130⁰

6 = 50⁰

7 = 85⁰

8 = 45⁰

9 = 45⁰

10 = 135⁰

11 = 135⁰

12 = 45⁰

Answer:

-1 <x< 1

Explanation:

Add -3 to both sides

Divide all parts by 4

Answer:

hewo

Step-by-step explanation:

well you need to multiply 1/4*114 and that should give you your answer

which would be 28.5

Answer:

The last one (D)

Step-by-step explanation:

Jonathan would have to check how much he's paid off after each of the months which means he would need to subtract that from total amount of money that he's pay for the new computer

Answer:

It’s a 50% chance

Step-by-step explanation:

The probability of being dealt a red card is 1/2 or 50% if you are dealt one card from a standard 52-card deck.

It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.

It is given that:

You are dealt one card from a standard 52-card deck.

Total number of red cards = 26

Total number of outcomes = 52

The probability of being dealt a red card = 26/52

The probability of being dealt a red card = 1/2

Or

The probability of being dealt a red card = 0.5 or 50%

Thus, the probability of being dealt a red card is 1/2 or 50% if you are dealt one card from a standard 52-card deck.

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Answer:

The slope of a line is a measure of its steepness. In math, slope is calculated as "rise over run" (change in y divided by change in x).