The scatter plot shows the average heights of children up to age 5.

Part A
Drag numbers to complete an equation for the trend line. Numbers may be used once, more than once, or not at all.

(22, 2.5, 18, 32, 4.5)

y = ?x + ?

Part B
Using the linear equation, predict the average height for a two-year old.

A. 15 inches
B. 22 inches
C. 31 inches
D. 35 inches​

Answers

Answer 1

Answer:

(a) [tex]y = 4.5x + 22[/tex] -- The equation

(b) 31 inches

Step-by-step explanation:

Given

See attachment

Solving (a): The equation of the trend line.

We start  by calculating the slope (m)

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

Where

[tex](x_1,y_1) = (0,22)[/tex]

[tex](x_2,y_2) = (4,40)[/tex]

So, we have:

[tex]m = \frac{40 - 22}{4 - 0}[/tex]

[tex]m = \frac{18}{4}[/tex]

[tex]m = 4.5[/tex]

The equation is then calculated using:

[tex]y = m(x-x_1)+y_1[/tex]

Where:

[tex](x_1,y_1) = (0,22)[/tex]

[tex]m = 4.5[/tex]

[tex]y = 4.5(x - 0) + 22[/tex]

Open bracket

[tex]y = 4.5x - 0 + 22[/tex]

[tex]y = 4.5x + 22[/tex]

(b) The height of a 2 year old.

To do this, we substitute 2 for x in [tex]y = 4.5x + 22[/tex]

[tex]y = 4.5 * 2 + 22[/tex]

[tex]y = 9+ 22[/tex]

[tex]y = 31[/tex]

The prediction is 31 inches

The Scatter Plot Shows The Average Heights Of Children Up To Age 5.Part A Drag Numbers To Complete An

Related Questions

1. Which Quadrant is Point F in?

Answers

Answer:

point f is in quadrant 3 . . .

Marcus is biking at 15 kilometers per hour. How long will it take Marcus to travel 37.5 kilometers?

Answers

Answer:

2.5

Step-by-step explanation:

Divide 37.5 by speed per hour

37.5/15=2.5

Answer:

2.5 hours

Step-by-step explanation:

what's the equation with a rate of change of 3 ​

1. 3y=2x+5
2.y=6x-3
3.y=3x+12

Answers

Answer:

3. Y=3x+12

Explanation:

3 is used as the rate for whatever is for x

Hina buys a laptop for Rs 45,500 and pays 16% general sales tax. What is the amount of tax?

plz i need it urgent on paper

Answers

Answer: Rs 7,280

Step-by-step explanation:

The technique to find tax is by multiplying the sales price and the percent of tax.

If you are still confused, I can provide some examples:

Price: 100$, Tax: 20%⇒100×20%=20$Price: 50$, Tax: 30%⇒50×30%=15$

------------------------------------------------------------------------

Given

Price: Rs 45,500

Tax: 16%

Calculate

45,500×16%=Rs 7,280

Hope this helps!! :)

Please let me know if you have any questions

Khushali selects three different numbers from the set
{−7, −5, −3, −1, 0, 2, 4, 6, 8}. She then finds the product of the three chosen numbers. What is the largest product that Khushali can make?

Answers

Answer:

The answer i got is 192

Step-by-step explanation:

the largest numbers shown is 8,6 and 4. When you multiply all three of them you get 192

Answer:

280

Step-by-step explanation:

Through trial and error, one can figure out that the answer is 280. Now, you might first try to go 8 * 6 * 4, which equals 192. However, if you get the product of two negative numbers, it becomes a positive, which we can use. Using the numbers -7, -5 (which cancel out each other making the product positive), and 8, the product of all of them is 280. The largest product that Khushali can make is 280.

8 * 6 * 4 = 192

(-7) * (-5) * 8 = 35 * 8 = 280

Show the solution for a two square room have a total floor area of 89m rise to power 2 one room is 3mlonger each way than the other find the dimensions of the two rooms

Answers

Answer:

side length of the smaller room = 5 m

Side length of the larger room = 8 m

Step-by-step explanation:

Total area of two square room = 89 m²

Area of a square = side²

Let

x = side of the smaller square

x + 3 = side of the longer square

Total area = area of room A + Area of room B

89 = x² + (x + 3)²

89 = x² + x² + 6x + 9

89 - 9 = 2x² + 6x

2x² + 6x = 80

2x² + 6x - 80 = 0

Divide through by 2

x² + 3x - 40 = 0

Solve quadratic equation using factorization method

x² + 8x - 5x - 40 = 0

x(x + 8) -5(x + 8) = 0

(x - 5) (x + 8) = 0

(x - 5) = 0 (x + 8) = 0

x = 5 x = -8

The side length of a square room can not be a negative value

Therefore, side length of the smaller room = 5 m

Side length of the larger room = 5 + 3

= 8 m

Determine the area of the figure shown​

Answers

Answer:

I can't see the figure.

Answer:

270 inches

Step-by-step explanation:

Multiply all sides

Estimate 73% of 120

Thanks if you help!

Answers

Answer:

73/100 (120)

answer:-87.6

Answer:

87.6

Step-by-step explanation:

[tex]\frac{73}{100}[/tex] = [tex]\frac{x}{120}[/tex]

73*120/100= 87.6

Which property of operation could you use to show whether 7y + 7b + 3y and 7(y x b) + 3b are equivalent or not

Answers

Answer and explanation:

They are not equivalent because if we simplify the second expression, the result isn't the same:

7(y×b)+3b

= 7(yb)+3b

=7yb + 3b

Therefore 7yb+3b≠7y+7b+3y

And even though you meant

7(y+b)+3b

=7y+7b+3b

=7y+10b

7y+10b≠10y+7b

if -0.3x − 30 = 60 what is x

Answers

Answer:

Step-by-step explanation:

if we have

-0.3x-30=60

-0.3x=60+30

-0.3x=90

x=90/-0.3

x=-300

Answer:

Isolate the variable by dividing each side by factors that don't contain the variable.

x = -300

Step-by-step explanation:

From 15 to 27 what is the percentage increase ?

Answers

Answer:

80

Step-by-step explanation:

(27-15):15*100 =

(27:15-1)*100 =

180-100 = 80

I hope this helped!

Sincerely,

Rekifromsk8theinfinity

:D

Answer:

66.66666667 percent

Step-by-step explanation:

In this case we have a positive change (increase) of 66.66666667 percent because the new value is greater than the old value. Using this tool you can find the percent increase for any value.

Use synthetic division to divide the polynomials.
(2y^3 + 6y² + 7y - 6) / (y + 1)

Answers

Answer:

Step-by-step explanation:

-1_|  2   6    7    -6

           -2   -4    -3

       2   4    3     -9

2y^2 + 4y + 3 - 9/(y + 1)

what’s the answer ???????

Answers

Answer:

2/9

Step-by-step explanation:

anything repeating is over 9

it equals 1/5 :)
hope this helps!!

Which would you use to determine how much money you have left over to save each month?

Answers

Answer

✔ income statement

X+6y=-2
Slope intercept form

Answers

Is the question complete??

The slope intercept form of the equation x + 6y - 2 is y = -x/6 + 1/3.

What is the slope intercept form of an equation ?

When any equation is represented in the y = mx +c form, it is called the slope intercept form of the equation.

Here m is slope and c is constant.

The given equation is,

x + 6y = 2,

To find the slope intercept form of the equation,

Solve the equation,

6y = -x + 2

y  = -x/6 + 2/6

y = -x/6 + 1/3

The slope intercept form of the equation is y = -x/6 + 1/3.

To know more about Slope intercept form :

https://brainly.com/question/9682526

#SPJ5

PLEASE HELP 100 points and Brainliestwill be given!!

Which equation represents exponential decay?

Answers

Answer:

The answer is C

Step-by-step explanation:

Exponential decay is when b is between 0 and 1.

Answer:

C. y = 10(0.13)^x.

Step-by-step explanation:

exponential decay is decreasing from what I remember from Algebra 1 Honors. So therefore, your only answer can be C. y = 10(0.13)^x.

The others all increase because 31, 3.1, 1.03 are all bigger than 1 which means that they increase while .13 decreases.

C. y = 10(0.13)^x.

What type of correlation is shown?
х
xx
Х
X

Answers

No type of correlation is shown but do you have a graph

What does 4×(-6) equal if you solve

Answers

Answer:

-24

Step-by-step explanation:

Since only one of the factors has a negative sign, the product will be negative.

4 · (-6) = -24

Answer:

-24

Step-by-step explanation:

4×(-6)

Remove parenthesis

-4 x 6

= -24

Extra

Its basically the same thing as 4 x 6 (which is 24) the only difference here is that the 4 is a negative.

POSITIVE FORM             NEGATIVE FORM

4 x 6 = 24                           -4 x 6 = -24

6 x 4 = 24                            -6 x 4 = -24

Hope this helps :)

I do not understand this. Please help, need answer right away

Answers

Answer:

50%

Step-by-step explanation:

Answer:

38

----

52

Step-by-step explanation:

20 points! Write an exponential function in the form y=ab^x that goes through points (0, 8) and (2, 200)

Answers

Answer:

[tex]y=8(5)^x[/tex]

Step-by-step explanation:

We want an exponential function that goes through the two points (0, 8) and (2, 200).

Since a point is (0, 8), this means that y = 8 when x = 0. Therefore:

[tex]8=a(b)^0[/tex]

Simplify:

[tex]a=8[/tex]

So we now have:

[tex]y = 8( b )^x[/tex]

Likewise, the point (2, 200) tells us that y = 200 when x = 2. Therefore:

[tex]200=8(b)^2[/tex]

Solve for b. Dividing both sides by 8 yields:

[tex]b^2=25[/tex]

Thus:

[tex]b=5[/tex]

Hence, our exponential function is:

[tex]y=8(5)^x[/tex]

Answer:

[tex]y = 8(5) {}^{x} [/tex]

Step-by-step explanation:

The normal exponential function is in form

[tex]y = ab {}^{x} [/tex]

let plug in 0,8

[tex]8 = ab {}^{0} [/tex]

b^0=1

so

[tex]8 = a \times 1 = \: \: \: \: a = 8[/tex]

So so far our equation is

[tex]y = 8b {}^{x} [/tex]

So now let plug in 2,200

[tex]200 = 8b {}^{2} [/tex]

Divide 8 by both sides and we get

[tex]25 = b {}^{2} [/tex]

[tex] \sqrt{25} [/tex]

Which equal 5 so b equal 5. So our equation is

[tex]y = 8(5) {}^{x} [/tex]

The area of a circle, in terms of pi, is 9 pi metres squared
Find the value of the radius.​

Answers

Answer:

radius = 3

Step-by-step explanation:

The area (A) of a circle is calculated as

A = πr² ( r is the radius )

Here A = 9π , then

πr² = 9π ( divide both sides by π )

r² = 9 ( take the square root of both sides )

r = [tex]\sqrt{9}[/tex] = 3

Answer:

you can read the problems

Jeff can paint 28 square feet every 15 minutes. Angela can paint 115 square feet every hour. Who can paint faster, and by how many square feet per hour?

Answers

Answer:

Angela by 3 sf per hour

Step-by-step explanation:

60÷15=4

28×4=112

115-112=3

648 flowers were arranged in 27 large vases, with the same number in each vase. How many flowers would be needed to fill 120 vases?

Answers

Answer: 2880 flowers

Step-by-step explanation:

Since 648 flowers were arranged in 27 large vases, with the same number in each vase, this means that each vase will contain 24 flowers

= 648/27

= 24 flowers

Therefore, the number of flowers needed to fill 120 vases will be:

= 24 × 120

= 2880 flowers

Area of an equilateral triangle is 36√3 cm2

. Find its side. ​

Answers

Answer:

a=12 will be answered

Step-by-step explanation:

a=side

a=12

Answer:

12

Step-by-step explanation:

you have to divide 3 by 36 to get 12

can you do step by step I wasn't paying attention in class

Answers

Answer:

B

Step-by-step explanation:

The 47 comes from no where and is just a random number so it cannot be an equation that you can use.

Answer:

A

Step-by-step explanation: I can figure out everything else except for A.

Solve for x. Round to the nearest tenth.

Answers

Answer:

Step-by-step explanation:

Youre given the adjacent and hypotenuse, so you can use cosine. SOHCAHTOA

cos(37) = 48/x

x = 60.1

Lamont has 30 books to pack in boxes . Each box holds 7 books. If he fills each box, how much books are left over ?

Answers

Answer:

B. 2

Step-by-step explanation:

To solve this, we need to divide 30 by 7. 30/7=4 R2

The remainder is 2, so there are 2 books left over.

Hope his helps and have an amazing day *^____^*

Answer:

2

Step-by-step explanation:

If 1 box holds 7 books...

2 boxes hold 14 books.

3 boxes hold 21 books.

4 boxes hold 28 books.

5 boxes hold 35 books.

However, since there are only 30 books, the 5th box won't be completely filled up. This gives us the answer: If Lamont fills up each box he would have 30-28, or 2 books left over.

Hope this helps!

Can someone please help me on this

Answers

Answer: y=2

Step-by-step explanation: 2 is the y intercept and the slope is 0

AYO HEAR ME OUTTT...HAVE U EVER HAD A DR6THAT U HAD A DREAM THAT U HAD A DREAM THAT YOU HAD A DREAM THAT YOU HAD A DREAM?​

Answers

Answer:

Step-by-step explanation:

what did u mean,

i didnt understand

yeah lol LOLOLOLOSSJAKSKSOSKSKLOL

please help me

The measure of an exterior angle of a triangle and the sum of the measures of the two remote interior angles are ________.​

Answers

I believe they are congruent.

Answer:

180

Step-by-step explanation:

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