The scatter plot shows the profit by the month for a new company during its first year of operation. Which equation most closely models the line of best fit for the scatter plot? A) y = 5x B) y = 2.5x C) y = 5x + 1000 D) y = 2.5x + 1000

The Scatter Plot Shows The Profit By The Month For A New Company During Its First Year Of Operation.

Answers

Answer 1

The equation most closely models the line of best fit for the scatter plot is y = 2.5x

Equation of a line graphs

A line is the defines as the minimum distance between two points. The equation of a line is given in the form y =mx + b

where:

m is the slopeb is the intercept

In order to determine the required equation, we can use the coordinate  (3, 5000) and (9, 20000)

Determine the slope

Slope = 20000-5000/9-3
Slope = 15000/6 = 2500

Determine the y-intercept

5000 = 2500(3) + b

b = 5000 - 7500
b = -2500

Determine the equation

y = 2.5x - 2.5

Therefore the equation most closely models the line of best fit for the scatter plot is y = 2.5x

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Related Questions

All items in a clothing store are on sale for the same percentage off the original price.

•The original price of a pair of pants is $20.
• The sale price of the pants is $15
• The original price of a shirt is $16

Enter the sale price, in dollars, of the shirt ​

Answers

Answer:

$12 is the sale price of shirt.

Explanation:

Calculate the percentage of sale

[tex]\sf \rightarrow \sf \dfrac{15}{20} *100[/tex]

[tex]\sf \rightarrow \sf 75 \%[/tex]

Then find the sale price of shirt

original price * percentage of sale

$16 * 75%

$12

Answer:

$12

Step-by-step explanation:

Method 1

First, calculate the sale discount as a percentage using the given information about the pants.

$20 = Original price of pants$15 = Sale price of pants

[tex]\sf percent\:change=\dfrac{|final\:value-initial\:value|}{initial\:value} \times 100[/tex]

[tex]\implies \sf percent\:change=\dfrac{|15-20|}{20} \times 100=25\%[/tex]

Therefore, the clothes are on sale with a 25% discount.

This means they are 75% of the original sale price, as 100% - 25% = 75%

To find the sale price of the shirt, we simply need to find 75% of the original selling price of the shirt:

  75% of $16

= 0.75 × $16

= $12

Method 2

Using ratios of original price : sale price, where x is the sale price of the shirt:

pants → 20 : 15

shirt → 16 : x

Therefore, as the ratios are the same:

   20 : 15 = 16 : x

⇒ 20/15 = 16/x

⇒ 20x = 16 · 15

⇒ 20x = 240

⇒ x = 240 ÷ 20

⇒ x = 12

Expression in simplest form

Answers

Answer:

 [tex]-x^{3} -9x^{2}[/tex]

Step-by-step explanation:

I think.

Pls give Brainliest.

What is the answer to:
-4(2x+2) <-40

Answers

Answer: x > 6

Step-by-step explanation:  -4(2x+2) < -40

-8x - 8 < -40

      +8     +8

-8x < 48

/-8x   /-8x

x  > 6              *The less than sign got flipped to a greater than sign because we divided by a negative.

Part 1: What is the mean score, rounded to the nearest whole number?

Part 2: What is the median score?

Part 3: What is the mode score?

THIS IS NOT A QUIZ DONT REMOVE

Answers

Mean : 16
Median : 17
Mode : 18




Explanation :

Mean :

8+9+12+12+13+13+13+15+16+16+16+17+17+18+18+18+18+18+19+19+19+19+20+20 = 383

383 divided by 24 = 15.95

Rounded : 16


Median :


8+9+12+12+13+13+13+15+16+16+16+17+17+18+18+18+18+18+19+19+19+19+20+20

There are 24 numbers here, the two middle numbers are 17 and 17.

17+17 = 34
34 divided by 2 = 17

Mode :


8+9+12+12+13+13+13+15+16+16+16+17+17+18+18+18+18+18+19+19+19+19+20+20

We see here 18 is repeated 5x, thus making it the number repeated the most.


The diagram show a circle centre 0. write down the mathematical name of

Answers

Answer:

(a) sector

(b) chord

(c) tangent

Step-by-step explanation:

sector: a sector in a circle is enclosed by two radii and an arc.

chord: this is a straight line that divides the circle into two unequal parts

tangent: a tangent touches a circle in only one point without entering inside the circle.

Prove cos^2 t+4cos t+4/cos t+2=2sec t+1/sec t

Answers

[tex]\text{L.H.S}\\\\=\dfrac{\cos^2 t +4\cos t +4}{\cos t +2 }\\\\\\=\dfrac{(\cos t)^2 + 2\cdot 2\cos t+2^2}{\cos t +2}\\\\\\=\dfrac{(\cos t +2)^2 }{\cos t +2}\\\\\\=\cos t +2\\\\\\=\dfrac 1{\sec t} +2\\\\\\=\dfrac{2\sec t +1}{\sec t}\\\\\\=\text{R.H.S}\\\\\text{Proved.}[/tex]

what is log_{6}6^{3} in an equivalent form

Answers

[tex]\log_6 6^3\\\\=3 \log_6 (6)~~~~~~~~~~~~~~~~;[\log_b m^n = n \log_b m]\\\\=3 \cdot 1~~~~~~~~~~~~~~~~~~~~~~;[\log_a a=1]\\\\=3[/tex]

An experiment involves placing the males and females of a laboratory animal species in two separate controlled environments. there is a limited time available in these environments, and the experimenter wants to maximise the number of animals subject to the constraints described. how many males and how many females will maximise the total number of animals? males females time available environment a 20 min 25 min 800 min environment b 20 min 15 min 600 min

Answers

15 males and 20 females would maximize the total number of animals

How to determine the number of males and females?

The table is given as:

                           Males      Females    Time available

Environment a    20 min      25 min       800 min

Environment b    20 min      15 min       600 min

Represent the male with x and the female with y.

The time available is limited i.e. ≤

So, the constraints are:

20x + 25y ≤ 800

20x + 15y ≤ 600

Solve the above system of inequalities graphically (see attachment)

(x, y) = (15,20)

Hence, 15 males and 20 females would maximize the total number of animals

Read more about maximizing functions at:

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How is the sample space related to a probability model?

Answers

Answer:

The sample space S for a probability model is the set of all possible outcomes.

I need help to find the equation and measures pls help me.

Answers

Answer:

Equation: 2x + x = 180

x = 60

∠GFH = 120

∠CBD = 60

Step by step:

Use 2x + x = 180 because the angles are on a straight line meaning they have a sum of 180:

2x + x = 180

3x = 180

3x/3 = 180/3

x = 60

Now just substitute:

∠CBD = x = 60

∠GFH = 2x = 120

Step-by-step explanation:

u didn't showed me but I will help u

here is your answer

Does this graph show a function? Explain how you know.

Answers

Answer:

A. No, the graph fails the vertical line test

Volume of a standard cereal box l=8in w=3in h=11in

Answers

When it comes to rectangular 3d objects you just multiply length width and height so in your calculator you put 8x3x11 which equals to 264in cubed

help pls, how do i answer this one

Answers

Answer:

h > 24

Step-by-step explanation:

h/3 > 8

so basially you move the number three from the left side to the right side

so from division to multiplication

h > 8 x 3
h > 24
Solved !

Hope it helped ! Have a nice day !

i have the radius i need the center

Answers

[tex]\boxed{\sf (-3, -1)}\boxed[/tex]

Magnetism: So I need help on this question but please explain how you got the answer so I can learn and better provide evidence :) If you are able to answer this I also am putting a few questions on here for this similar subject for my test and pls explain them all ty!

Answers

Answer:

I think Option B is correct

Step-by-step explanation:

because Iron nail is wrapped with a copper wire so it's a solinoid and when the switch is off it gets magnetic field or the iron nail would behave like a magnet.

and It would attract metallic things.

Hope this helps you

have a nice day :)

what should you pay to play a game in which you receive $5 for drawing an ace from a deck of card, $1 for a face card, and .50 for any other card?

Assume the game is fair.

Please explain

Answers

Answer:

I would think it would be 4,20

I don’t know what letters go in what order, an explanation would be appreciated

Answers

Answer:

Step-by-step explanation:

Congruent triangles:

   8) AC = DC              Given

       BC  = EC              Given

      ∠ACB ≅ ∠DCB    Vertically opposite angles are congruent

ΔACB ≅ ΔDCB       SAS congruent

9)  RS = TS                              Given

     SU =SU                              Reflexive property

     ∠RSU = ∠TSU                    Given

ΔRSU ≅ ΔTSU                  SAS congruent

If you do these 2 problems you get 100 points

Answers

Answer:

BELOW

Step-by-step explanation:

DO I HEAR 100 POINTS? Yes.

For the first image, that answer is A.

For the second image, I'm a bit confused on which problems you want me to do, so I'll do number 10, 11, and 14.

10) Yeah, you're correct, it is J.

11) (1,-6), (-2,-5), (8,2) (4,0) and I can't see the last point so..

14)  Can't see the question :(

#1

x-4y≤-12-4y≤-x-124y≥x+12y≥1/4x+3

Put (0,0)

0≥0+3 is false

Shading will be away from origin.

y inetercept

y=3(when x=0)

Check the direction of line by taking 4 and -4

y=4/4+3=y=4y=-4/4+3=-1+3=2

The graph should bend down on left side while rise up in right side

Option A

#2

5x-4y>4-4y>-5x+44y<5x-4y<5/4x-1

Putting origin in it

0>-1

Shading away from origin

And

x+y<2y<2-x

Putting origin

0<2

Shading towards origin

Option B as shading should be downwards here

How do I match these?

Answers

Step-by-step explanation:

fgx= x+6

g(f(x)=√x²+6

am not sure about the rest

Geometry given right triangle ABC with altitude BD drawn to hvpotenuse AC. If AD = 8
and BD = 4, what is the length of DC?

Answers

Answer: 2

Step-by-step explanation:

Can anyone help please, Thanks.

Answers

Your going to want to take 34 pounds and subtract 2.6 pounds. If you need help with the division, check out a website called Calculator Soup. It’s very helpful. Good luck!

Mica is making a paste for an art project. He mixes 8 cups of water with glue. If he wants to make a double batch how many quarts of water does he need?how much water is that in gallons?

Answers

He needs one more quart. That is half of a gallon.

What triangle congruence method is used for this triangle?

Answers

SSS

side - side - side

side - BD - commonside - BC = ADside = BA is parallel to DC

HOPE IT HELPS...!!!

3x^2 - x + 4 and 2x- 4x^2 - 7

Answers

Answer:

Step-by-step explanation:

3x^2 - x + 4 and 2x- 4x^2 - 7

3x^2 - x + 4 = no solution

2x- 4x^2 - 7 = no solution

I need this solved please

Answers

Answer:

Below in bold.

Step-by-step explanation:

The 3 angles of a triangle sum to 180 degrees, so:

if one angle is x degrres the other id 2x, and:

x + 2x + 60 = 180

3x = 180 - 60 = 120

x = 120/3 = 40

So m<B = 40 and m < A = 80 degrees.

how can i solve 8+3(2x-7)=11x

Answers

Answer:

x = -13/5

Step-by-step explanation:

8+3(2x-7) = 11x

8 + 6x - 21 = 11x
     8 - 21   = 11x - 6x
     -13        = 5x
      -13/5    = x

could you please try to figure this out I have like 10 min

Answers

Answer:

668.5628.540.240

This is the answer i guess.

Sam is using the expression M/8n in class. What is the value of this expression when m = 4 and n = 1/2

Answers

Answer:

1

Step-by-step explanation:

m/8n > 4/8(1/2) ( since its 1/2 all you need to do is change the fraction to whole number which is 1/2 = 0.5)

The given will become 4/4 then simplest form is 1

PLSSS HELP IF YOU TURLY KNOW THISS

Answers

Answer:

C. 1/4

Step-by-step explanation:

Step 1

Make the fraction denominators the same!

1/2 will become 4/8 over here, and 2/8 is already good!

Step 2

Subtract the new fractions!

4/8 - 2/8 is easy! It's 2/8

Step 3

Simplify the answer (2/8)

2/8 will become 1/4 when simplified

Hence, the final answer is 1/4

or C

luke buys shares for £15.26 each they decrease in value by 3.5% work out the new share price

Answers

Answer:

New price is $14.73 Per share

Step-by-step explanation:

(1 - 3.5%) × 15.26 = 14.7259

Round to the nearest hundreth

New share price = $14.73

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