The data for the distance d, in miles, remaining for a train to travel to its destination t hours after it departs a station are
shown in the scatter plot. Which of the following functions best fits the data?

Answers

Answer 1

Using the slope - intercept format, the equation which models the data represented by the graph is d(t) = -50t + 300

According to the general form of a linear regression equation :

y = bx + c b = slope ; c = intercept

Slope, b = (Δy ÷ Δx)

Slope = (200 - 50) ÷ (2 - 5)

Slope = 150 ÷ -3 = -50

Intercept is the point where the regression line crosses the y - axis.

From the graph, the intercept = 300

Hence, the regression equation is y = -50t + 300

Learn more : https://brainly.com/question/19017188

The Data For The Distance D, In Miles, Remaining For A Train To Travel To Its Destination T Hours After

Related Questions

Of the 40 pencils in the box 30 of them don’t have an eraser what percent of the pencils do not have a eraser

Answers

Answer:

75%

Step-by-step explanation:

A pancake recipe calls for 4 cups of flour and 3 cups of milk. Does a recipe calling for 2 cups of flour and 1.5 cups of milk use the same ratio of flour to milk?

Answers

Answer:

I think the answer is Yes

Step-by-step explanation:

For example, 2 cups of flour can equal 4 cups of flour by multiplying by two. So 1.5 cups of milk, you multiply by two and it is equivalent to 3 cups of milk. So in the end, it is equal and it's basically half of the pancake recipe. Hope it helps!

whats the correct label
Is it Negative slope
Is it 0
Is it Positive slope

Answers

Answer:

1) Positive slope

2) Negative slope

3) 0 slope

Step-by-step explanation:

1) This is a positive slope. As x increases, y increases.

2) This is a negative slope. As x increases, y decreases.

3) This is a 0 slope. As x increases, y stays the same.

Answer:

First one is positive

Second one is negative

Last one is zero

Step-by-step explanation:

why is the square root of 25 a rational number?

Answers

Answer:

Because √25 = 5 and 5 can be written in the form of a fraction 5/1.

Step-by-step explanation:

It proves that √25 is rational.

Answer:

the square toot of 25 is = 5

Step-by-step explanation:

therefore

5√5

= 25

√25 is equal to 5

= 5

i hope it helps

what is the answer??????​

Answers

Answer:

15 percent

Step-by-step explanation:

15 PERCENT

HAVE A NICE DAY SIR/MA'AM

GREAT DAY

write an Algebraic expression for 3 times X squared minus 4 times X

Answers

Answer:

3x2 - 4x

Step-by-step explanation:

this is the algebric expression

3x^2 - 4x

Of course, if you are writing this down, just square the x


2.

Find the slope of the line that passes through the points (4,2) and (4,10)

Answers

Answer:

The slope is unidentified

Step-by-step explanation:

The equation of the line is x=4

Ania has read 3/5 of a book. She has read 60 pages so far. How many pages are in thewhole book?

Answers

Answer:

100

Step-by-step explanation:

hope this helps!!!!!!

What is the the cube root of 310 to the nearest integer

Answers

Answer:

6.7679

Please mark this brainiest?

Step-by-step explanation:

Cube root of 310 can be represented as 3√310. The value of cube root of one is 310.The nearest previous perfect cube is 216 and the nearest next perfect cube is 343 .

Answer:

the cube too of 310 is 7

Step-by-step explanation:

as cube root of 310 is 6.76

Quadrilateral ABCD is rotated 90 dockwise and the result is quadrilateral PQRS.
Which of the following sides on Quadrilateral PQRS is congruent to side AB on Quadrilateral ABCD-
А side PQ
B
side QR
С
side RS
D
side SP

Answers

Side RS is congruent to side AB

There are 11 counters in a bag.
8 of the counters are green.
3 of the counters are blue.
Sid takes at random two counters from the bag.
Work out the probability that Sid takes one counter of each colour.

Answers

Answer:

For a green and a blue  P1 = 8/11 * 3/10 = (80 * 33) / 110^2 = .218

For a blue and a green  P2 = 3/11 * 8/10 = (30 * 88) / 110^2 = .218

The probabilities are the same

The probability that Sid takes one counter of each color green and blue from the 11 counters in a bag is 48/121.

What is an additional rule of probability?

When two events P(A) and P(B) occurs one time in an event of which occurs two times. Then the probability of occurring exactly one time both events is,

[tex]P=P(A)\times P(B)+P(B)\times P(A)[/tex]

There are 11 counters in a bag. In which,

8 of the counters are green.3 of the counters are blue.

Sid takes at random two counters from the bag. Probability that Sid takes green counter is,

[tex]P(A)=\dfrac{8}{11}[/tex]

The probability that Sid takes blue counter is,

[tex]P(A)=\dfrac{3}{11}[/tex]

The probability that Sid takes one counter of each color is,

[tex]P=\dfrac{8}{11}\times\dfrac{3}{11}+\dfrac{3}{11}\times\dfrac{8}{11}\\P=\dfrac{24}{121}+\dfrac{24}{121}\\P=\dfrac{48}{121}[/tex]

Thus, the probability that Sid takes one counter of each color green and blue from the 11 counters in a bag is 48/121.

Learn more about the probability here;

https://brainly.com/question/24756209

#SPJ2

What numbers can be used instead to x for this equation to remain the same -x>2

Answers

Answer:

2x + 1 = 11.

2x + 1 - 1 = 11 - 1 (subtracting both sides by the same number)

2x = 10.

2x/2 = 10/2 (dividing both sides of the equation by the same number)

x = 5.

Step-by-step explanation:

hope it helps

Hong paid $12.53 for a 7.03-kg bag of dog food. A few weeks later, he paid $14.64 for a 7.98-kg bag at a different store.
Find the unit price for each bag. Then state which bag is the better buy based on the unit price.

Round your answers to the nearest cent.

Answers

Answer: First bag unit price: 1.78

second bag unit price : 1.83

Step-by-step explanation:

divide the price by the weight. First bag is better

Evaluate [tex]\frac{bd}{a}[/tex] + c if a=−2a=-2 , b=3b=3 , c=−12c=-12 , and d=−4

Answers

Answer:

{a,c,d,b} = {49/16,29/16,2,-31/48}

Step-by-step explanation:

  [1]    3a + c - 4d = 3

  [2]    -4a + 4c + d = -3

  [3]    -a - 2d + 3b = -9

  [4]     - d = -2

// Solve equation [4] for the variable  d

  [4]    d = 2

// Plug this in for variable  d  in equation [1]

  [1]    3a + c - 4•(2) = 3

  [1]    3a + c = 11

// Plug this in for variable  d  in equation [2]

  [2]    -4a + 4c + (2) = -3

  [2]    -4a + 4c = -5

// Plug this in for variable  d  in equation [3]

  [3]    -a - 2•(2) + 3b = -9

  [3]    -a + 3b = -5

// Solve equation [1] for the variable  c

 [1]    c = -3a + 11

// Plug this in for variable  c  in equation [2]

  [2]    -4a + 4•(-3a+11) = -5

  [2]    -16a = -49

// Solve equation [2] for the variable  a

  [2]    16a = 49

  [2]    a = 49/16

// Plug this in for variable  a  in equation [3]

  [3]    -(49/16) + 3b = -5

  [3]    3b = -31/16

  [3]    48b = -31

// Solve equation [3] for the variable  b

  [3]    48b = - 31

  [3]    b = - 31/48

// By now we know this much :

   a = 49/16

   c = -3a+11

   d = 2

   b = -31/48

// Use the  a  value to solve for  c

   c = -3(49/16)+11 = 29/16

Step-by-step explanation:

so bd/a+c= 3×(-4)/-2 +(-12)= -12/-2+(-12)=6+(-12)=6-12=-6

so the answer is -6

Which fractions are equivalent to 1/5?


Select each correct answer.


2/8


2/10


20/100


3/12

Answers

Answer:

2/10&20/100

Step-by-step explanation

hope it helps

please mark brainliest

Factorise. 5a² - 10a​

Answers

Answer:

5a (a -2)

Step-by-step explanation:

Hey there,

Here, you have to get the common factors out from the brackets.

According to this question,

a and 5 are the common factors.

Therefore, you can write the answer like this,

5a² - 10a

5a (a -2)

Hope this helps you.

Let me know if you have any other questions :-)

solve the simultaneous equation y+1=2x y^2=3x-2​

Answers

[tex]y +1 = 2x~~~...(i)\\\\y^2 = 3x -2~~~...(ii)\\\\\text{From equation (i):}\\\\y +1 = 2x \\\\\implies y = 2x -1~~~....(iii)\\\\\text{Substitute} ~y = 2x-1~ \text{in equation (ii):}\\\\(2x-1)^2 = 3x-2\\\\\implies 4x^2 - 4x +1 = 3x -2\\\\\implies 4x^2 -4x -3x +3 =0\\\\\implies 4x(x-1) -3(x-1)=0\\\\\implies (x-1)(4x-3)=0\\\\\implies x =1 ~\text{or}~ x = \dfrac 34\\\\\text{Substitute x = 1 in equation (iii):}\\\\y = 2 -1 =1\\\\[/tex]

[tex]\text{Substitute}~ x = \dfrac 34 ~\text{in equation (iii):}\\\\\\y = 2\left(\dfrac 34 \right) -1 = \dfrac 32 -1 = \dfrac 12\\\\\text{Hence,}\\\\(x,y) = (1,1)\\\\\text{And}\\\\(x,y) = \left(\dfrac 34 , \dfrac 12 \right)[/tex]

Use the formula for the perimeter of a rectangle, P = 2 l + 2 w, where P is the perimeter, l is the length, and w is the width.

Answers

Answer:

The perimeter of the tabletop is 152 inches

Step-by-step explanation:

So if P = 2L + 2W we have to do

(2*48) + (2*28)

So

96 + 56 = 152

the difference of the square of two consecutive numbers is 19. If one number is 10, what is the other number?

a)12 . b)11 . c)9 . d)8.

If you can answer correctly and explain properly the methods.
I try to mark it as the brainiest.

Answers

Answer:

c

Step-by-step explanation:

10^2 - 9^2 = 100 - 81 = 19

Gurl/boi/human I don’t think this is worth 50 or 100 points(kinda new donno how it works)
Not gonna answer it tho someone already did

Subtract -2x² from the sum of 4x² and 15x².​

Answers

Answer:

Step-by-step explanation:

(4x²+15x²)-(-2x²)=19x²+2x²=21x²

Answer:

[tex]21x^{2}[/tex]

Step-by-step explanation:

[tex]4x^{2} +15x^{2} --2x^{2}[/tex]

[tex]4x^{2} +15x^{2} +2x^{2}[/tex]...........2 negatives signs next to each make a positive

[tex]21x^{2}[/tex].................................combine like terms

What series of transformation will not map figure H onto itself

Answers

Answer:

D

Step-by-step explanation:  

Given a square with vertices at points (2,1), (1,2), (2,3) and (3,2)

Consider option D.

1st transformation  will map vertices of the square into points

....2nd transformation = reflection over y = -x + 2 will map vertices into points ....

These points are not the vertices of the initial square.

I hope it helps.

BRAINLIEST
Solve for X. Round to the nearest tenth.

Answers

Answer:

1) 44.83 feet 2) 2352.3

Step-by-step explanation:

The interval (-1, 1) is best described as

Answers

Answer: There's an increasing interval between -1 and 1

While x goes from -1 to 1, the value of y increases (from -2 to 2).

What is 5/6 of 78kg?

Answers

65 kg i think or 143 pounds

GUYS I NEED HELP PLZZZ ILL GIVE BRAINLIEST!

Deondra has $12 to spend on a mixture of green and red grapes. What equation can she use to graph a line showing the different amounts of green and red grapes she can buy for $12?

Answers

No equation really.

I guess she could just by 2 lb green grapes and 3 lb red grapes.

Maybe because I didn't understand the question completely.

Butiki po ang sagot dito hehehhee sorry need points aahahaha

Maria decides to reduce her homework time of 8 hours per week by 15%. Calculate her new homework time. Give your answer in hours and minutes. ..

Answers

6 hours and 48 minutes

I need help with this! Please asap

Answers

Answer:

1:Not

2:Not

3:Not

4:Not

5:Viable

6:Viable

7:Viable

8:Viable

9:Viable

10:Not

Step-by-step explanation:

Definition: The points where a graph intersects the x-axis are called it’s __.

Answers

Answer:

zeroes or x-intercepts

Step-by-step explanation:

simplify this addition 20+(-6x)+6x+(-20)​

Answers

Answer:

0

Step-by-step explanation:

20+(-6x)+6x+(-20)=20-6x+6x-20

                            =0

what the answer to 1024/32

Answers

Answer:

32

Step-by-step explanation:

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