Melanie and Tracy are each finding the equation of the trend line that fits the data in the table below.

Participation in the School Band
Year
Number of students
2010
48
2011
52
2012
55
2013
59

Melanie uses the ordered pairs (2010, 48) and (2013, 59) to find her equation. Tracy defines x as the number of years since 2010 and uses the ordered pairs (0, 48) and (3, 59) to find her equation. How will the two girls’ equations compare?
They will have the same slopes and the same y-intercepts.
They will have the same slopes but different y-intercepts.
They will have different slopes but the same y-intercepts.
They will have different slopes and different y-intercepts.

Answers

Answer 1

Answer:

B. They will have the same slopes but different y-intercepts.

Step-by-step explanation:

Melanie

The slope:

m = (59 - 48)/(2013 - 2010) = 11/3

The y -intercept:

the starting point, 2010

The equation off the line:

y = 11/3x + 2010Tracy

The slope:

m = (59 - 48)/(3 - 0) = 11/3

The y -intercept:

the starting point, 0

The equation off the line:

y = 11/3x

As we see they get same slopes but different y-intercepts.

Correct choice is B

Answer 2

Answer:

B) They will have the same slopes but different y-intercepts.

Step-by-step explanation:

I got 100% :>


Related Questions

Please Help i need this done

Answers

Answer:

i think u add 2.5 everytime

Step-by-step explanation:

for example start with(0, 2.5) 0n the graph then add 2.5 to 2.5 then keep adding if im wrong srry

HELP ASAP PLEASE NO LINKS

Question 1(Multiple Choice Worth 3 points)
(07.04)
The solution to 6x = 48 is x =
05
06
07
08

Answers

Well the answer would be 8 as the total sum would be 6 x (8) = 48

There is a box of colored marbles on the counter top. There are 24 blue, 16 green, and 56 red.

Write the ratio of green marbles to red marbles. Don't forget to put your answer in simplest form.

Answers

Answer:

i think its 2:7

Step-by-step explanation:

heres why

16 and 56 both have a number that equals which it is 8

so u divide

16/8=2

56/8=7

16:56 in simplest form is 2:7

A woman decides to have children until she has her first girl or until she has five children; whichever happens first. Find the expected value and standard deviation of X. Let X represent the number of children she has. Assume that she is equally likely to give birth to a boy or a girl on each child, and that gender is independent between children.
(a) Write out and sketch the complete probability distribution function for X.
(b) Write out and sketch the complete cumulative distribution function for X.
(c) Find the expected value and standard deviation of X.

Answers

Answer:

E(X) = 1.9375

SD(X) = 1.20

Step-by-step explanation:

Let :

G = girl ; B = Boy

P(G) = 0.5 ; P(B) = 0.5

Sample space :

G, BG, BBG, BBBG, BBBBG, BBBBB

Using the multiplication rule of independence :

P(G) = 0.5

P(BG) = 0.5 * 0.5 = 0.25

P(BBG) = 0.5 * 0.5 * 0.5 = 0.125

P(BBBG) = 0.5 * 0.5 * 0.5 * 0.5 = 0.0625

P(BBBBG) = 0.5 * 0.5 * 0.5 * 0.5 * 0.5 = 0.03125

P(BBBBB) = 0.5 * 0.5 * 0.5 * 0.5 * 0.5 = 0.03125

Creating a probability distribution table :

X = 1, 2, 3, 4, 5

For X = 5 ;

P(BBBBG) + P(BBBBB) = 0.03125 + 0.03125 = 0.0625

X :___ 1 ____ 2 ____ 3 _____ 4 _____ 5

P(X) : 0.5 __ 0.25 _ 0.125 _0.0625 _0.0625

The expected value E(X) :

√(ΣX * P(X)) = (1*0.5)+(2*0.25)+(3*0.125)+(4*0.0625)+(5*0.0625) = 1.9375

The standard deviation SD(x) :

√(ΣX²*p(x) - E(X)²

√((1^2*0.5)+(2^2*0.25)+(3^2*0.125)+(4^2*0.0625)+(5^2*0.0625) - 1.9375^2)

√(5.1875 - 3.75390625)

√1.43359375

SD(X) = 1.197

SD(X) = 1.20

8 (6-4x) = 12

equation with parentheses​

Answers

Answer:

x=9/8

Step-by-step explanation:

1.36 km is how many cm

Answers

Answer:

136000 cm

Step-by-step explanation:

I think it's helps you

is this right. ......... I need help
















Answers

Answer:

yes those all seem to be correct, A, B, and D are the ones that are correct

Gina is shopping for a new bicycle. The price of the bicycle is $300 and there is an 8% sales tax. Gina wants to know the total price of the bicycle including soles tax. How much sales tax does Gina pay on the bicycle? Enter the amount in the table.​

Answers

70$ but I’m not 100% sure

Answer:

24

Step-by-step explanation:

The person above me is incorrect . I got it right on the i-Ready Quiz!

What happens to the volume of a sphere if its radius is ​multiplied by 6?

Answers

Answer:

216 times the original

Step-by-step explanation:

Volume 1 = 4/3 πr³

volume 2 = 4/3 π(6r)³

v 2 / v 1 = 6³ = 216

When the radius of a sphere is multiplied by 6, the volume is multiplied by 216

How to determine the volume?

Let the radius of the sphere be r

The volume of a sphere of radius, r is calculated as:

v = 4/3 πr³

When multiplied by 6, the radius becomes:

R = 6r

The new volume is then calculated as:

V = 4/3 π(6r)³

Divide both volumes

V/v = 4/3 π(6r)³ / 4/3 πr³

Evaluate the quotient

V/v = 6³

V/v = 216

Hence, when the radius of a sphere is multiplied by 6, the volume is multiplied by 216

Read more about volumes at:

https://brainly.com/question/1972490

ASAP NEED HELP ASAP NEED HELP ASAP NEED HELP ASAP NEED HELP ASAP NEED HELP ASAP NEED HELP ASAP NEED HELP ASAP NEED HELP ASAP NEED HELP ASAP NEED HELP ASAP NEED HELP ASAP NEED HELP ASAP NEED HELP ASAP NEED HELP ASAP NEED HELP ASAP NEED HELP ASAP NEED HELP ASAP NEED HELP​

Answers

Step-by-step explanation:

11.True

12.False

13.False

14.False

15.True

16.False

17.False

18.True

19.True

20.False

Answer:

here

Step-by-step explanation:

A ______________ consists of an a sample space and a list of events with their probabilities.

probability model

sample space

likelihood

outcome

Answers

Sample space َََ َ َ َ َ َ َ َ َ َ

Monica hizo galletas de dos tamaños como se muestra en la imagen. ¿Cuánto mide el lado Z de la galleta más grande?

Answers

¡Hola! No he visto a dos mejores amigos. ✨

Which of the following statements is true for the quadratic equation x2 – 16x + 64 = 0?

Answers

Answer:

Please provide the statements.

Step-by-step explanation:

Answer:

the equation has one anser

Step-by-step explanation:

What is the area of the kite? 10 yd 4 yd 6 yd 4 yd ​

Answers

the area of a kite would be 6 ts

A scientist has two solutions, which she has labeled Solution A and Solution B. Each contains salt. She knows that Solution A is 40 % salt and Solution B is 90 % salt. She wants to obtain 50 ounces of a mixture that is 80 % salt. How many ounces of each solution should she use?

Answers

Answer:

The scientist must use 10 ounces of Solution A and 40 ounces of Solution B.

Step-by-step explanation:

Since a scientist has two solutions, which she has labeled Solution A and Solution B, each containing salt, and she knows that Solution A is 40% salt and Solution B is 90% salt, and she wants to obtain 50 ounces of a mixture that is 80% salt, to determine how many ounces of each solution should she use the following calculation must be performed:

100 x 0.9 + 0 x 0.4 = 90

90 x 0.9 + 10 x 0.4 = 85

80 x 0.9 + 20 x 0.4 = 80

50 x 0.8 = 40

Therefore, the scientist must use 10 ounces of Solution A and 40 ounces of Solution B.

the product of 5 and 6 reduced by t

Answers

Answer:

5(6-t)

Step-by-step explanation:

in math, product means the "sum" of the equation or the final answer

and in your case, that means 5*6, but then we also have to remember that we're "reducing" or subtracting 't'-

5(6-t)

good luck :)

i hope this helps

brainliest would be highly appreciated

have a nice day!

Use the figure below and 2-3 sentences to explain the following:

The side opposite angle E is side ____?


The side adjacent to angle E is side ____?


The hypotenuse is side ____?

Answers

Answer/Step-by-step explanation:

The triangle given is a right triangle

Reference angle = angle E

Thus:

The side that is opposite to angle E is side DF = e

The side that is adjacent to angle E is side EF = d

The hypotenuse side is the longest side that is opposite go the right angle of the triangle = DE = f

A rectangular carport has area of one 50 ft.The width of the carport is 5 feet less than twice its length. Find the length and width of the carport

Width= ? feet,
Length= ? feet

Answers

Answer:

[tex]Length = 10ft[/tex]

[tex]Width = 15ft[/tex]

Step-by-step explanation:

Given

[tex]W= Width\\ L = Length[/tex]

[tex]Area = 150[/tex]

[tex]W=2*L- 5[/tex]

Required

Determine the dimension

Area is calculated as:

[tex]Area = L * W[/tex]

So, we have:

[tex]L * W = 150[/tex]

Substitute: [tex]W=2*L- 5[/tex]

[tex]L * (2*L-5) = 150[/tex]

[tex]L * (2L-5) = 150[/tex]

Open bracket

[tex]2L^2 - 5L = 150[/tex]

Rewrite as:

[tex]2L^2 - 5L - 150=0[/tex]

Expand

[tex]2L^2 -20L + 15L - 150 = 0[/tex]

Factorize:

[tex]2L(L -10) + 15(L - 10) = 0[/tex]

[tex](2L + 15) (L - 10) = 0[/tex]

Split

[tex]2L + 15=0[/tex] or [tex]L -10 = 0[/tex]

Solve for L

[tex]2L =-15[/tex] or [tex]L = 10[/tex]

L cannot be negative

So:

[tex]L = 10[/tex]

Substitute [tex]L = 10[/tex] in [tex]W=2*L- 5[/tex]

[tex]W = 2 * 10 - 5[/tex]

[tex]W = 20 - 5[/tex]

[tex]W = 15[/tex]

Hence:

[tex]Length = 10ft[/tex]

[tex]Width = 15ft[/tex]

there were 125 customers at walmart. 64% paid with a credit card;the rest paid with cash. how many paid with cash?

Answers

Answer:

45

Step-by-step explanation:

100-64 is 36. 36% paid with cash 125×35%=45 or 125×.36=45


A computer game was originally priced at $59.99. It was marked down 15%. Then it was moved to a clearance rack marked "Take an additional 50% off the lowest marked price." What was the final price of the computer game?

Answers

Answer:

25.50 is the final price

Step-by-step explanation:

First find the new price at 15% off

59.99 * 15%

59.99 * .15

9.00

Subtract 9 dollars from the price

59.99-9.00

50.99

Now take 50% off

50.99 * 50%

50.99*.50

25.50

50.99-25.50

25.50

find the value of x. Pregunta matemática ​

Answers

Answer:

Ejercicios Resueltos  

ANGULOS  

1. Si el complemento de ángulo x es 2x, ¿Cuál es el valor de x en  

grados?  

Solución:  

2x x 90 += °

3x 90

x 90 / 3

x 30

= °

= °

= °

2. Si el suplemento del ángulo x es 5x, ¿Cuál es el valor de x?  

Solución:  

5x+x=180

6x=180

x=180 /6

x=30

°

°

°

°

3- Determínese los dos ángulos x e y, cuya suma es 90 y cuya  

diferencia es 10 .  

°

°

Solución:  

-Planteamos el sistema de ecuaciones:  

x y 90

x y 10

+= °

−= °

-Resolvemos el sistema. Mediante el método de suma y resta  

obtenemos:  

2x 100

x 100 / 2

x 50

= °

= °

= °

-Hacemos la sustitución del valor encontrado de x en la primera  

ecuación: 50 y 90

y 90 50

y 40

°+ = °

= °−

= °

°

∴La solución al problema es x 50 , y 40 =°= °

°

4. Hállense dos ángulos complementarios tales que su diferencia sea  

30° .  

Solución:  

-Planteamos el sistema de ecuaciones:  

x y 90

x y 30

+= °

−= °

-Resolvemos el sistema. Mediante el método de suma y resta  

obtenemos:  

2x 120

x 120 / 2

x 60

= °

= °

= °

-Hacemos la sustitución del valor encontrado de x en la primera  

ecuación:  

60 y 90

y 90 60

y 30

°+ = °

= °−

= °

∴La solución al problema es x 60 , y 30 = °= °

°

5. Hállense dos ángulos suplementarios tales que el uno sea 20 mayor  

que el otro.  

°

Solución:  

-Planteamos el sistema de ecuaciones:  

x y 180

x y 20

+= °

=+ °

-Resolvemos el sistema:  

(y 20 ) y 180

2y 180 20

2y 160

y 80

+ °+ =

= °− °

= °

= °

 

-Hacemos la sustitución del valor encontrado de y en la primera  

ecuación: x 80 180

x 180 80

x 100

+ °=

= °−

= °

°

°

∴La solución al problema es:  

x = °= ° 100 , y 180

TRIANGULOS  

1.- ¿Cuánto miden cada uno de los ángulos interiores del siguiente  

triángulo?  

Solución:  

Nota: La suma de los ángulos interiores de los triángulos es  

180° .  

((( A B C 180 ++= °

3x 5x 4x 180 ++ = °

12x 180 = °∴( ( (( A 22.5 , B 52.5 , C 30 , CBR 127.5 = ° = ° =° = °

x 15 = °

∴( ( A 45 , B 75 ,C 60 =° =°= °

°

°

°

°

°

°

2.- ¿Cuánto miden cada uno de los ángulos del siguiente triángulo?  

Solución  

a) Ángulo extendido  

( ( B CBR 180 + = Esto debido a que son ángulos suplementarios  

(B 15x 60 180 + − °=

(B 180 60 15x = °+ °−

(B 240 15x = °−

b) Suma de los ángulos interiores del triángulo  

((( A B C 180 ++=

3x (240 15x) 4x 180 + °− + =

7x (240 15x) 180 + °− =

− + °= 8x 240 180− =− 8x 160°

x 7.5 =

∴( ( (( A 22.5 , B 52.5 , C 30 , CBR 127.5 = ° = ° =° = °  

3.- Escribe la definición de bisectriz del triángulo.  

Es la semirrecta que biseca el ángulo, es decir, divide el ángulo  

en dos ángulos congruentes.  

4.- ¿Qué es la mediatriz de un triángulo?  

La mediatriz de un lado de un triángulo (y en general de un  

segmento de recta), es la recta perpendicular a ese lado en su  

punto medio.  

5.- ¿Que es la mediana de un triángulo?  

La mediana de un triángulo, es el segmento de la recta que une  

un vértice con el punto medio del lado opuesto.  

CUADRILATEROS  

1.- ¿Qué cuadrilátero tiene las dos diagonales iguales y sus lados son  

iguales dos a dos?  

Rectángulo  

2.- Si los ángulos de un cuadrilátero miden, respectivamente, 80º, 110º  

y 70º, ¿Cuánto medirá el ángulo que falta?  

100º

3.- ¿Cuál es el paralelogramo que tiene las diagonales perpendiculares?  

Rombo  

4.- ¿Cómo se llama el cuadrilátero que tiene dos lados paralelos?  

Trapecio  

5.- Encuentra el área del paralelogramo que tiene 5cm de base y 3 de  

altura  

A b*a

A 5*3

A 15

=

=

=

POLÍGONOS 1.- Cuatro ángulos interiores de un pentágono valen respectivamente  

110°, 90°, 85° y 125°. ¿Cuánto vale el quinto ángulo?  

Solución:  

Si la suma de los ángulos interiores de un polígono es:  

180°*(n-2)=180°*(5-2) = 540°, a lo que le se le resta los  

valores de los ángulos que se dieron, consecuentemente, el  

quinto ángulo vale 130°.  

2.- ¿Cuántos lados tiene, en cada caso, el polígono cuyos ángulos  

interiores suman respectivamente 1080°, 900°, 1260°?  

Solución:  

Despejando de la fórmula el valor de n, tenemos que:  

. 2

180

suma angulos n = ° + , y esto aplicado a cada valor de la suma de los  

ángulos internos, obtenemos que los valores de n son 8, 7 y 9  

respectivamente.  

3.- ¿Cuánto vale cada ángulo exterior de un octágono regular?  

Solución:  

Aplicando el teorema de que la suma de los ángulos exteriores  

de un polígono es 360°, entonces cada ángulo exterior vale  

360°/8 = 45°  

4.- Calcular los ángulos exteriores de un triángulo rectángulo que tiene  

un ángulo agudo doble del otro.  

Solución:  

Se tiene que la suma de los ángulos interiores es  

180°*(n-2)= 180° y éste a su vez es igual a 90° + x + 2x,  

despejando x de 3x = 90°, x= 30°, entonces los ángulos  

interiores son 30°, 60° y 90°, teniendo como ángulos exteriores  

150°, 120° y 90°.

Step-by-step explanation:

55 times 4 and time 3 equals what?

Answers

Answer:

55 times 4 =220

220 times 3 =660

Two angles are complementary.
If one angle measures 45
degrees, then what is the
measure of the other angle? *

Answers

Answer:

45

Step-by-step explanation:

Solve for x:

3-a/x-a=1/a

PLEASE HELP NEED ASAPPP WILL GIVE BRAINLIEST TO FIRST CORRECT ANSWERRRR

Answers

x=a(4a-1)/1-3a
hope this helps!!

          a2 (exponent 2)

x= - _______

        1 - 3a + a2 (exponent 2)

                  Mark brainliest please.

A 50 foot ladder is set against the side of a house so that it reaches up 40 feet. If Aisha grabs the ladder at its base and pulls it 9 feet farther from the house, how far up the side of the house will the ladder reach now? (The answer is not 31 ft.) Round to the nearest tenth of a foot.

Answers

Answer: ~31.3

first use the pythagorean theorem. a^2+(40)^2=50^2.

simply. a+1600=2500. subtract 1600 from both sides. a^2=900.

square root both sides to get a= 30

then find how far the top of the ladder is from the ground once in its new position.

a^2+(39)^2=50^2.

simplify. a^2+1512=2500. subtract 1512 from both sides to get a^2=979.

square root both sides to get a=31.288975. round to the nearest tenth to get a=31.3

Answer:

Step-by-step explanation: iT'S 31.3

-4x+3x<4 what is the awenswer to this equation

Answers

Answer:

X > -4

Step-by-step explanation:

Collect the like terms which literally leaves you with -x<4

Then just changes the signs, hence the answer.

Please mark brainliest!

Solve the inequality. 4/5v < 7/15​

Answers

Answer:

v < 7/12

Step-by-step explanation:

Adrian is putting streamers across the ceiling of his dining room to decorate for his nephews birthday party. The ceiling is rectangular. Its area is 122,5 square feet, and its
width is 7 feet. How long should Adrian cut a streamer that will run the length of the ceiling?

Answers

Answer: 17.5 feet long.

Which is the better definition of line of best fit?

Answers

The line of best fit , also called a trendline or a linear regression, is a straight line that best illustrates the overall picture of what the collected data is showing. It helps us to see if there is a relationship or correlation between the two factors being studied. This trendline helps us to predict future events relating to the data being studied. Hope this helped!

A line of best fit guides a line through a scatter plot of data points that best describes the association between those points.

What is  line of best fit?

A line of best fit guides a line through a scatter plot of data points that best describes the association between those points. Statisticians typically utilize the least squares approach to arrive at the geometric equation for the line, either through manual computations or regression analysis software.

A line of best fit can be approximately specified utilizing an eyeball the method by marking a straight line on a scatter plot so that the numeral of points above the line and below the line stands about equal (and the line passes via as many points as possible).

To learn more about line of best fit refer to;

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#SPJ2

find the volume of 6✓2cm​

Answers

Step-by-step explanation:

Complete Question :-

find the volume of a cube of side 6✓2cm .

We know that the Volume of a cube is cube of side . So,

[tex]\implies Volume = side^3 \\\\\implies Volume = (6\sqrt2 \ cm)^3 \\\\\implies\boxed{\boxed{ Volume= 432\sqrt2\ cm^3}}[/tex]

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