An equation was created for the line of best fit from actual enrollment data. It was used to predict the dance studio enrollment values shown in the table:


Enrollment Month
January February March April May June
Actual 500 400 550 550 750 400
Predicted 410 450 650 650 600 450
Residual 90 −50 −100 −100 150 −50


Analyze the data. Determine whether the equation that produced the predicted values represents a good line of best fit.
No, the equation is not a good fit because the sum of the residuals is a large number.
No, the equation is not a good fit because the residuals are all far from zero.
Yes, the equation is a good fit because the residuals are not all far from zero.
Yes, the equation is a good fit because the sum of the residuals is a small number.

Answer:

(From left to right) 9, 4, -3, 15, 6, 5, 7/3

Step-by-step explanation:

for each x value given, plug in x and isolate y to solve for y.

for each y value given, plug in y and isolate x to solve for x

Answer:

It seems like everything is correct but I wouldn't be for sure.

But if you think everything is not right, then don't listen to me lol-

I hope I helped  ^^

Answer:

I can tell u two

Step-by-step explanation:

1st one is b

3rd is b

4th is b

H

o

p

e

this

he

lp

s

y

u

o

!

!
!

!
!

Answer:

0

Step-by-step explanation:

Sorry this was rushed it may be wrong but I think it is 0! Hope this helped you.

Answer:

Y and Z.

Step-by-step explanation:

My reasoning is that because scalene triangles have all different measurements, Y and Z would be correct since they have multiple different measurements. X is an obtuse triangle, while W is a right triangle, so that leaves Y and Z.

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Explanation:

Triangle W is a right triangle because of the square marker. This angle is 90 degrees, also known as a right angle.

Acute triangles on the other hand must have all angles smaller than 90 degrees. This rules out triangle W.

The missing angle of triangle X is 180-40-35 = 105 degrees, showing this triangle is obtuse. Obtuse triangles have exactly one angle that is between 90 and 180. Therefore, we rule out triangle X as well.

Triangles Y and Z are acute because all angles are smaller than 90 degrees. For triangle Y, the missing angle is 180-70-80 = 30. For triangle Z, the missing angle is 180-65-45 = 70 degrees.

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That takes care of the "acute" portion. Now onto the "scalene" part.

All four triangles shown are scalene. Why? Because all three sides are different lengths, as indicated by the different tickmarks.

However, we ruled out triangles W and X since they weren't acute.

Answer: The answer would be 15

Answer:

A rectangular prism has six faces, commonly referred to as the base, top and four sides. The base and top always have the same area as do pairs of opposite sides

Step-by-step explanation:

Answer:

the base and the top, along with the opposite sides

Step-by-step explanation:

A rectangular prism has six faces, commonly referred to as the base, top, and four sides. The base and top always have the same area as do pairs of opposite sides.

Answer:

From the origin, move 0.5 unit to the left along the x-axis and 1 unit vertically down, and place the point.

Step-by-step explanation:

hope this helps! :}

Answer:

From the origin, move 0.5 unit to the left along the x-axis and 1 uni

Step-by-step explanation:

Step-by-step explanation:

Let x, and x+1 be the consecutive numbers.

[tex]x + (x + 1) = 37[/tex]

[tex]2x + 1 = 37[/tex]

[tex]2x = 36[/tex]

[tex]x = 18[/tex]

Plug in 18 for x+1,

[tex]18 + 1 = 19[/tex]

So the numbers is 18,19

Answer:

18 and 19

Step-by-step explanation:

if you have two consecutive numbers, then using algebra, one unknown number is x and the other unknown consecutive number is x + 1

The equation x + x + 1 = 37

To solve this equation subtract 1 from both sides as one does in algebra.

x + x + 1 = 37 → x + x + 1 - 1 = 37 - 1

Now you have the equation x + x = 36

This can rewrite this as 2x = 36        2x means 2 times the value of x

To solve this part of the equation divide both sides by 2

2x / 2 = 36 / 2

x = 18

The next consecutive number x + 1 = 19, (18) + 1 = 19

check this by adding. 18 + 19 = 37.

Answer:

[tex]m\angle MNI = 135^{\circ}[/tex]

Step by step explanation:

[tex]\text{The exterior angle of a triangle = sum of two opposite interior angles.}[/tex]

[tex]~~~~~~\angle MNI = \angle LMN + \angle MLN\\\\\implies 19x+2=(15x-12)+6x\\\\\implies 19x +2 = 21x-12\\\\\implies 21x -19x = 12+2\\\\\implies 2x = 14\\\\\implies x=\dfrac {14}2\\\\\implies x = 7\\\\\text{So,}~ m\angle MNI = 19(7)+2=135^{\circ}[/tex]

Answer:

5

Step-by-step explanation:

seven point two and 9 imches

Answer:

the answer is 28 in

hope this helps

Answer:

x=-8.5

Step-by-step explanation:

Combine like terms:

9+8=-4x+2x

Solve:

17=-2x

Divide:

17/-2=x

-8.5=x

Hope this Helps!

Answer:

your answer is x=-8.5

Step-by-step explanation:

Answer:

1092

Step-by-step explanation:

(12x34) x 2 + (12x3) x2 + (34x3) x2 = 408 x 2 + 36 x 2 + 102 x 2

=816 + 72 + 204

= 1092

(the numbers in brackets are the "net" areas)

Answer:

Step-by-step explanation:

Givens

The triangle is x

The square is y

Left side

x + 3y is the weight

Right side

4x + y is the weight.

The weights are equal because the hanger is balanced.

Balance equation

x + 3y = 4x + y                 Subtract x from both sides

x-x + 3y = 4x-x + y           Combine

3y = 3x + y                       Subtract y from both sides

3y - y = 3x + y - y             Combine

2y = 3x

Answer

2y = 3x

Answer:

  x +3y = 4x +y

Step-by-step explanation:

A hanger diagram like this is intended to show you that the total weight on the left side is equal to the total weight on the right side.

__

The left side shows 1 triangle and 3 squares. x and y are defined as the weights of the triangle and square, respectively, so the weight on the left side can be represented as ...

  x + 3y

The four triangles and 1 square on the right can have their total weight represented as ...

  4x +y

The intent of the diagram is to show that the left-side weight is equal to the right-side weight. That equality can be written as ...

  x +3y = 4x +y

_____

Additional comment

This problem is not asking for any sort of "solution" or relationship between x and y. We could find such a relationship by solving the equation for y:

  x +2y = 4x . . . . subtract y from both sides

  2y = 3x . . . . . . . subtract x from both sides

  y = (3/2)x . . . . . divide by the coefficient of y

This tells you that the hanger will only be balanced if the weight of a square is half-again as much as the weight of a triangle.

Answer:

B interquartile range

Step-by-step explanation:

hope this helps:)

Answer:

B. interquartile range

Hope this helps! Please give brainlist!!

Use cymath.com for sure.

When I typed your question there it said the simplified answer was, x = 0

Answer: 108 ft³ 

Step-by-step explanation:

V= 4/3πr³ 

Facts:

Pi= 3

Diameter = 6

Step1; find the radius

Diameter is the length acaross the whole circle, but the radius is just 1/2 the circle. Therefore, if the diameter is 6, then the radius can be found by finding 1/2 of 6.

1/2 of 6= 1/2x6= 3.

R= 3

Step 2:  Plug in the numbers (into the formula)

PEMDAS

(exponents go first)

(then multiply from left to right)

V= 4/3πr³ 

V= 4/3x3x3³ 

V= 4/3x3x (3x3x3)

V= 4/3x3x27

V= (4/3x3)  x 27

V= 12/3x27

V= 4x27

V= 108

Volume= 108 ft³ 

Hope this helps :)) Also brainliest would be appreciated, i worked pretty hard on this thanks! :)

Answer:

[tex]7x + 4 = 5x + 16 \\ 7x - 2x = 16 - 4 \\ 5x = 12 \\ x = 2.4[/tex]

[tex] \\ y + 6 + (7x + 4) = 180 \\ y + 6 + 7 \times 2.4 + 4 = 180 \\ \\ y + 17 + 16.8 = 180 \\ y + 33.8 = 180 \\ y = 180 - 33.8 \\ y = 146.2[/tex]

Answer:

133

Step-by-step explanation:

Answer: 30 inches = 2 1/2 feet

Step-by-step explanation:

30 inches is longer than 2 feet

Answer:

see the attachment photo!

Answer:

A digit 2

Step-by-step explanation:

628/8 = 78
thus making 628 divisible by 8

Answer:

2:6

Step-by-step explanation:

Answer:

21:9 and 14:6

they are equivalent because they are just the ratio multiplied by two or three, and they both reduce down to the original ratio of 7:3

Step-by-step explanation:

i'm almost positive its right