Mathematics High School

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

Transversal relations

Answers

Answer:

The answer is 75

Step-by-step explanation:

By way of parallelism

[tex]x + 15 = 90 \\ x = 75[/tex]

the answer is 75 for this problem

The instructions in the kite book state that sin ∠ABC = . Since the two right triangles that make up the kite are congruent, then sin∠CBD = as well. Using the definition of sine, what is AB? Show your work

Answers

Answer:

Exact answer

Step-by-step explanation:

Answer:

Plato

Step-by-step explanation:

sin<ABC= 1/2

AC/AB = 1/2

AC= 60 cm

60/AB= 1/2

AB= 120

Write an equation of a line in slope-intercept form with the given slope and y-intercept.
slope: -4, y-intercept: -1

Answers

Answer:

[tex]y = - 4x - 1[/tex]

Step-by-step explanation:

The standard equation for slope intercept form is

[tex]y = mx + b[/tex]

where m is the slope and b is the y intercept.

plug -4 as m and -1 as the y intercept

[tex]y = - 4x - 1[/tex]

Marcos debe pintar 5/9 de la cubierta de un velero. Al acabar el día ha pintado 21/36 . ¿Ha conseguido cumplir su objetivo? ¿Ha pintado más? ¿Ha pintado menos?

Answers

Answer:

a) Have you managed to meet your goal?

Yes

b) Have you painted more? Have you painted less?

You have painted more.

Step-by-step explanation:

Marcos should paint 5/9 of the deck of a sailboat.

At the end of the day he painted 21/36.

Reducing this to the simplest form = 21/36

Dividing Numerator and Denominator by 3

= 7/12

Finding the difference between both fractions

= 7/12 - 5/9

The Lowest Common Denominator = 36

= 21 - 20/36

= 1/36

Therefore:

a) Have you managed to meet your goal?

Yes

b) Have you painted more? Have you painted less?

You have painted more.

What angle relationship best describes angles AFC and DFB?

A) Adjacent angles
B) Complementary angles
C) Linear pairs
D) Vertical angles

Answers

Answer:

Vertical Angles

Step-by-step

I believe this is the case because since the angles intercept in order to form also it's the only answer that has to do with intercepting from what we can see from the diagram.

There are different types of relationships between angles including alternate, corresponding, vertical, adjacent, complementary and supplementary angles

The correct option for the relationship that best describes angles AFC and DFB is option D;

D) Vertical angles

The reason the chosen option is correct is as follows;

The given diagram shows line EF perpendicular to line AB and line CD crosses line AB at point F

Therefore, the angles ∠AFC and ∠DFB formed by lines AB and CD with their orientation in the order of their names are opposite to each other and other are known as vertical angles

Learn more about vertical angles here:

https://brainly.com/question/18292462

Can whoever answers this answer one of the questions on my account I have like 20 minutes to answer them.

Answers

Answer:

What-

Step-by-step explanation:

Answer: What?

Step-by-step explanation:

If c=10\pic=10π, what does 10 represent?

Answers

Answer:

10 is the dimeter of the circle

Step-by-step explanation:

The question seems is:If C = 10π, what does 10 represent?

The circumference of a circle formula is:

C = 2πr or C = πd

10 in the given equation represents the diameter of the circle, d = 10

What's 4 x 90 divided by 3 x 7?

Answers

Answer:

17.14

Step-by-step explanation:

360/21=17.14

Answer:

(4 × 90) ÷ (3 × 7)

= 360 ÷ 21

= 17.14

convert the metric measurements into inches,correct to the nearest inch . 4,2 m

Answers

Answer:

165 inches

Step-by-step explanation:

multiply the length value by 39.37

what is the only trigonometry function that can have a fraction greater than one and why

Answers

Answer is 98 because i love cheese

Suppose you invest $2200 at an annual interest rate of 5.3% compounded continuously. How much will you have in the account after 7 years?

Answers

Step-by-step explanation:

step 1. Let's call the amount of money A.

step 2. A = A¡e^(rt) (continuously compounding equation)

step 3. A = A¡e^(rt). A¡ = initial amount. r = rate, t = time.

Given the 2 equations, solve for x, when the y's are equal.

y=2x+4 y=x+1

Answers

Answer:

x=-3

Step-by-step explanation:

2x+4=x+1

-x -x

x+4=1

-4 -4

x=-3

-3
correct if wrong

what is the value of x
10= 3x - 6
X=

Answers

Answer:

[tex]x= \frac{16}{3}[/tex]

Step-by-step explanation: Can i get brain plz!

add 6 to both sides of the equation
simply/ 16=3x
divide both sides by 3
x = 16/3

HELP PLEASEE
A baker uses 63 cups of flour and 72 cups of water for a recipe. The flour to water ratio is 63:72 how much water does the baker need if he uses only 7 cups of flour?

Answers

Answer:

8 cups of water

Step-by-step explanation:

63/7=9

72/9=8

Tell how many Solutions y= 3x+ 2 y=-4x+5

Answers

Answer:

There are 4 solutions

Step-by-step explanation:

Solve it

Which system of inequalities does the graph represent? Which test point satisfies both of the inequalities in that system?

The graph represents the system of inequalities .
The test point satisfies both of the inequalities in the system represented by the graph.

Answers

Answer:

Ok so its -3;3

Step-by-step explanation:

Suppose you invest $10,000 in a mutual fund that earns 6% annual interest. What is the value of your investment 30 years later? Show both the value and evidence of the thinking you used to calculate the value of the investment.

Answers

Answer:

$57400

Step-by-step explanation:

Given data

P= $10,000

R= 6%

T= 30 years

Let us Assume the investment is compounded Anually

A= P(1+r)^t

A=10000(1+0.06)^30

A=10000(1.06)^30

A=10000*5.74

A=$57400

Hence the Final Amount after 30 years compounded anually is $57400

9.Find the side of a cube whose surface area is 5400cmsquare.

Answers

Answer:

a=square root of a/6 = square root of 5600/6 = 30

i would like to have my brainliest naw, thx

3x + 2y = 12
-x + 5y = 13
Solve by elimination
Y and x

Answers

Answer:

x = 2 y = 3

Step-by-step explanation:

[tex]x + 7 < - 2[/tex]
Choose an operation to isolate the variable

Blank. Blank. on both sides
-------- --------
.add. .-7
.subtract. .-2
.multiply by. .2
.divide by. .7

Answers

First one because when you subtract 7 u keep the var. x alone and isolate it.

Marty's class collected $34.00 in a school-wide penny collection contest. If Tommy's class added $3.00 to the amount they
collected, x, and then multiplied the sum by 2, they would have the same amount of money as Marty's class.
2(x + $3.00)= $34.00
How much money did Tommy's class collect?
Ο Α.
$20.00
OB.
$17.00
O C.
$3.00
OD.
$14.00

Answers

Answer:

the answer that you are looking for is D

Step-by-step explanation:

The Tommy's class collect the amount of 14 dollar.

What is the solution for an equation?

The solution of an equation refers usually to the values of the variables involved in that equation which if substituted in place of that variable would give a true mathematical statement.

We need to find the solutions of the equation 2(x + $3.00)= $34.00 ;

Now solving for x;

2(x + $3.00)= $34.00

Open the bracket;

2x + 6 = 34

Combine the like terms;

2x = 34 - 6

2x = 28

x = 14

Therefore, the equation 2(x + $3.00)= $34.00 has only one solution which is 14.

Learn more about solving equations here:

brainly.com/question/13072448

#SPJ2

Select all expressions that are equivalent to 16x − 12 − 24x + 4 by showing your work & explain your reasoning. 1)40x - 16 2)4 - 12 - 4x + (- 4x) 3) 8x - 8 4)-8 (r + 1)

Answers

Answer:

4 - 12 - 4x + (- 4x)

-8 (x + 1)

Step-by-step explanation:

16x - 12 - 24x + 4

16x - 24x - 12 + 4

-8x - 8

1)40x - 16 = not equivalent

2)4 - 12 - 4x + (- 4x)

4 - 12 - 4x - 4x

-8 - 8x = - 8x - 8 (equivalent)

3) 8x - 8 (not equivalent)

4)-8 (x + 1) = - 8x - 8 (equivalent)

Julio has $40.00 to rent bikes for himself and a friend for 5 hours. Each bike
rental costs $3.25 per hour.

Answers

Step-by-step explanation: if its asking how much money he spends in total you multiply

$3.25 x 5 = 16.25

Answer:

They will spend $16.25 on each bike for 5 hours, $16.25 x 2 = $32.50. They will spend $32.50 and will be left with $7.50.

Step-by-step explanation:

10 points and king crown extra 5+ points and pplease go to pic and answer it

Answers

Answer:

the answer is 30x+33

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