Megan's aquarium has a volume of 4,320 cubic inches.

Which could be the dimensions of the aquarium?

Select all that apply.

A 24 in. by 32 in. by 13 in.
B 18 in. by 24 in. by 10 in.
C 22 in. by 25 in. by 18 in.
D 12 in. by 15 in. by 24 in.

Answer:

No, the origin is Located at (0,0)

Answer:

no

Step-by-step explanation:

The origin is located at the center of a graph, at (0, 0)

Answer:

-0.06 left-middle

0.28 right-middle

0.03 right-top

0.1 middle-top

0.12 middle-bottom

Step-by-step explanation:

column-row

Answer:

b. Use an AD/AS diagram to show how a decrease in the inflation target can keep inflation and short-run output from starting to rise in 2021. Explain your diagram and what it reveals about monetary policy.

Answer:

938583

Step-by-step explanation:

Answer:

[tex]-2\dfrac{3}{8}[/tex]

Step-by-step explanation:

Given the expression:

[tex]3\dfrac78 - 6\dfrac14[/tex]

We are to simplify and obtain an equivalent expression.

Step 1: Change to Improper Fractions

[tex]3\dfrac78 - 6\dfrac14=\dfrac{31}{8}-\dfrac{25}{4}[/tex]

Step 2: Take the Lowest Common multiple of the denominators

LCM of 8 and 4 is 8.

Therefore:

[tex]\dfrac{31}{8}-\dfrac{25}{4}=\dfrac{31-2(25)}{8}\\\\\dfrac{31-50)}{8}\\\\=-\dfrac{19}{8}\\\\=-2\dfrac{3}{8}[/tex]

Therefore, an equivalent expression to [tex]3\dfrac78 - 6\dfrac14[/tex] is [tex]-2\dfrac{3}{8}[/tex].

Answer

3  7/8+ (-6  1/4)

Step-by-step explanation:

Answer: 3/4 of the original price.

Step-by-step explanation:

Ok, so Sam buys 4 boxes in Store A.

We know that in Store A you can get 4 boxes paying only for 3.

If P is the price of a Box, then he got 4 boxes and paid 3*P

then the amount that he paid for each box is equal to the total amount that he paid divided the number of boxes that he received.

this is: 3P/4 = (3/4)*P

Meaning that he paid 3/4 of the original price for each box.

Answer:

64 * b * b * b * b * b * b

Step-by-step explanation:

Apply exponent to number first, then expand the variable's exponent into repeated multiplication.

An exponent is a symbol that is written above and to the right of a mathematical expression to indicate the operation of raising a power.

The value of (2b²)³ without the exponents is 8 x b x b x b x b x b x b.

A symbol that is written above and to the right of a mathematical expression to indicate the operation of raising to a power.

a², b³

a and b are base.

2 and 3 are exponents.

We have,

(2b²)³

This can be written as:

= 2³ x [tex]b^{2\times3}[/tex]

[ 2 x 2 x 2 = 2³ = 8 ], [ a². a³ = [tex]a^{2\times3}[/tex] ] and [ (a²)³ = [tex]a^{2\times3}[/tex] ]

= 8 x [tex]b^{6}[/tex]

Since we have to write without the exponents we have,

= 8 x b x b x b x b x b x b

Thus the value of (2b²)³ without the exponents is 8 x b x b x b x b x b x b.

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Answer:

The p-value will be "0.0549".

Step-by-step explanation:

The given values are:

Time, t = 15 minutes

Df, σ = 25-1 = 24

Now,

⇒  [tex]H_{0}:\sigma^2\leq 150[/tex]

and,

⇒  [tex]H_{1}:\sigma^2>150[/tex]

As we know,

Chi square = [tex]\frac{(n-1)s^2}{(\sigma^2)}[/tex]

On putting the values in the above formula, we get

⇒                = [tex]\frac{24\times 15^2}{150}[/tex]

⇒                = [tex]\frac{24\times 225}{150}[/tex]

⇒                = [tex]36[/tex]

Therefore, p-value = 0.0549

The p-value determined > 0.05, the null hypothesis also isn't dismissed at point 0.05.

Answer:

C. Rectangle

Step-by-step explanation:

It will result in to a rectangle

Answer:

4mm.

Step-by-step explanation:

Area of a Square is: [tex]A=s^2[/tex]

's' -side length

We are given the area of 16 square mm.

[tex]16=s^2\\\sqrt{16} =\sqrt{s^2}\\\boxed {4=s}[/tex]

The length of each side of the square is 4mm.

Answer:

4 mm

Step-by-step explanation:

Hope this helps

Answer: 7

Step-by-step explanation: whhhhyyyy

Answer:

the answer is attached to the picture

Answer:

10 inches

Step-by-step explanation:

It is 10 inches as you have chosen because the length from the midpoint to a side or the apothem is the length of one side. As given, a side length is 10 inches so, the length of the apothem is 10 inches.

Hope this helps!!! PLZ MARK BRAINLIEST!!!

Answer:

[tex]5\sqrt{3} inches[/tex]

Step-by-step explanation:

Answer:

B, D

Step-by-step explanation:

The product of a sum and a difference results in a difference of squares.

The product must be of the form (a + b)(a - b) to work.

Answer: B, D

Answer:

(w-2.5)(w+2.5) And (-4v-9)(-4v+9)

Step-by-step explanation:

E2020

Answer:

[-2; 1 ] is the new column vector

Step-by-step explanation:

See explanation in the attachment.

The value of a-2b as a column vector is [tex]\left[\begin{array}{c}-2&1\end{array}\right][/tex] .

A matrix is an arrangement of numbers, expressions or symbols arranged in rows and columns as a rectangular array. These rows and columns define the size or dimension of a matrix.

For the given situation,

The matrix is

[tex]a=\left[\begin{array}{c}4&5\end{array}\right][/tex] , [tex]b=\left[\begin{array}{c}3&2\end{array}\right][/tex]

The operation is a - 2b. The matrix becomes

⇒ [tex]a-2b=\left[\begin{array}{c}4&5\end{array}\right] -2\left[\begin{array}{c}3&2\end{array}\right][/tex]

⇒ [tex]a-2b=\left[\begin{array}{c}4&5\end{array}\right] -\left[\begin{array}{c}6&4\end{array}\right][/tex]

⇒ [tex]a-2b=\left[\begin{array}{c}-2&1\end{array}\right][/tex]

Hence we can conclude that the value of a-2b as a column vector is [tex]\left[\begin{array}{c}-2&1\end{array}\right][/tex] .

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Answer:

s=50*2+1/2*10*2^2=100+20=120 miles

The car travels 120 miles from this point in the next 2 hours, if the acceleration is constant.

There are three equation of motions that can be used when motion of the object is under constant acceleration and on a straight path.

They are listed below as:

[tex]v = u + at\\\\s = ut + \dfrac{1}{2} at^2\\\\v^2 = u^2 + 2as[/tex]

where, the symbols have following meanings:

u = initial velocity of the considered object

v = final velocity of the object

a = acceleration of the object

s = distance traveled by the object in 't' time.

Given; A car is running at a velocity of 50 miles per hour and the driver accelerates the car by 10 miles/hr2.

We are asked that how far the car travels from this point in the next 2 hours, if the acceleration is constant.

s = 50*2 + 1/2*10*2^2

s = 100+20

s = 120 miles

Therefore, the car travels 120 miles from this point in the next 2 hours, if the acceleration is constant.

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Answer:

Your answer will be 1,000

Step-by-step explanation:

One thousand

Hope this helps : )

Answer:

1000

Step-by-step explanation:

Add 100 10 times and you will get 1000

Answer:

7/6pie. i think

Step-by-step explanation:

1/2 + 2/3 = 3/6 + 4/6 = 7/6 = 1 1/6

Answer:

1 and 1/6

Step-by-step explanation:

1/2 + 2/3 = 3/6 +4/6= 1 1/6

Answer:

75%

Step-by-step explanation:

48 of 64 times 100

48/64 × 100

0.75 × 100

75

So 75% of the bottle of orange juice is water

Hope this helps!!

Answer:

Step-by-step explanation:

The significant figures of a number that carry meaningful contribution to its measurement resolution

Answer:

Hi there!

To find the volume of the ball, we should follow this formula: 

4/3*pi*r^3

Since the radius is 4, we can just plug the value in:

4/3*3.14*4^3

= 267.946667

Round to the nearest tenth:

= 267.9

Your answer is 267.9. 

Hope this helps!

Answer: c

Step-by-step explanation:

Answer:

23,41 cm (if it's a square triangle)

Step-by-step explanation:

a²+b² = c²

22²+8² = c²

√548 = √c²

23,41 = c

Answer:

  5 feet

Step-by-step explanation:

Add 0.25 to both sides of the equation:

  4.75 +0.25 = x - 0.25 +0.25

  5.00 = x

The original height of the water in the pool was 5.00 feet.

Answer:

5 feet

hope this helps

Answer:

314 cm²

Step-by-step explanation:

Area of a circle is A= πr²

pi is 3.14 and radius is 10:

A= 3.14(10)²

A= 314

Answer: 22,084,920 different clubs

Step-by-step explanation:

The club must have 6 juniors and 8 seniors

We have a total of 13 juniors and 16 seniors.

Now, we know that the possible combinations of N objects into a group of K is equal to:

[tex]C = \frac{N!}{(N-K)!*K!}[/tex]

For the juniors we have N = 13 and K = 6

[tex]Cj = \frac{13!}{7!*6!} = \frac{13*12*11*10*9*8}{6*5*4*3*2*1} = 1716[/tex]

For the seniors we have N = 16 and K = 8

[tex]Cs = \frac{16!}{8!8!} = \frac{16*15*14*13*12*11*10*9}{8*7*6*5*4*3*2*1} = 12870[/tex]

Now, as the group consist on both combinations togheter, the number of different clubs that can be formed are:

C = Cj*Cs = 1,716*12,870 = 22,084,920

Answer:

Larry’s graph is incorrect.He should used a closed circle at -5

Step-by-step explanation:

Answer:

A)Larry’s graph is incorrect. He should have used a closed circle at –5.

Step-by-step explanation:

Answer:

Question 1) $0.08 per oz

Question 2) $0.09 per oz

Step-by-step explanation:

You have to divide the price by how many ounces there are.

$1.92 / 24 = $0.08

$1.35 / 15 = $0.09

Answer:

0.08.

0.09

Step-by-step explanation:

Answer:

The solution is attached here. Hope it helps ☺️

Answer:

[tex]r = 3.18cm[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer:

Media: 167.88 cm

Mediana:  167.6 cm

Modo: 166.67 cm

Step-by-step explanation:

Hola!

La variable de interés es:

X: estatura de un alumno de noveno año de educación básica.

1)

Primero debes ordenar los datos de menor a mayor y contar cuantos de ellos corresponden dentro de cada intervalo determinado, por ejemplo, el primer intervalo es:

[160;164)

Los intervalos están definidos con el límite inferior cerrado, es decir que incluye el valor de dicho límite, y el límite inferior abierto, es decir, que ese valor no está incluido en el intervalo.

160,160,160,161,162,163,164,165,165,165,165,166,167,167,167,167,168,168,168,169,170, 170, 170,171,173,173,173,175,175,176.

f(1)= 6 (seis valores de estatura corresponden a este intervalo)

La sumatoria de todas las frecuencias absolutas debe dar por resultado el total de observaciones n= 30

Para el segundo intervalo [164;168)

f(2)= 10

2)

hi representa la frecuencia relativa simple y esta se calcula como fi/n

Por ejemplo para el primer intervalo:

h(1)= f(1)/n= 6/30= 0.20

Esta indica la proporción de que las alturas estén entre 160 y 164 cm.

En porcentaje se expresa como hi*100, para el primer intervalo: 0.20*100)= 20%

Para el segundo intervalo h(2)= f(2)/n= 10/30= 0.33 y su porcentaje es 33%

Como indican la proporción de cada categoría de la distribución, la sumatoria de las frecuencias relativas simples de todas las categorías debe ser 1.

3)

Como lo dice su nombre, esta frecuencia es acumulada y se calcula como la sumatoria de las frecuencias absolutas simples, para el primer intervalo, dado que previo a él no hay "nada" es igual a la frecuencia absoluta simple:

F(1)= f(1)

Para el segundo intervalo, es la frecuencia absoluta simple del primer intervalo más la frecuencia relativa simple del segundo intervalo:

F(2)= f(1) + f(2)= 6 + 10= 16

4)

Esta frecuencia también representa la sumatoria de las frecuencias relativas simples.

H(1)= h(1)= 0.20 como previo al primer intervalo no existe distribución definida, la frecuencia relativa acumulada es igual a la frecuencia relativa simple.

Para el segundo intervalo la frecuencia relativa acumulada es:

H(2)= h(1)+h(2)?= 0.20+0.33= 0.57

Adjunta a la respuesta encontrarás la tabla completa.

5)

Como no específica medidas de tendencia central requeridas, voy a calcular la media, mediana y modo utilizando la tabla.

Media

X[barra]= (∑x'fi)/n= ∑x'*hi

Dónde x' representa la marca de clase de cada intervalo. Para calcular la marca de clase de los intervalos debes realizar un promedio entre sus límites y su valor siempre debe encontrarse dentro de los límites del intervalo. Si no es así, has cometido un error de cálculos:

(Limite inferior + Limite superior)/2

1. [160;164)  x₁'= (160+164)/2= 162

2. [164;168)  x₂'= 166

3. [168;172)  x₃'= 170

4. [172;176)  x₄'= 174

Una vez que calculaste las marcas de clase, puedes calcular la media:

X[barra]= ∑x'*hi= (162*0.20)+(166*0.33)+(170*0.27)+(174*0.20)= 167.88 cm

Mediana:

La mediana es el valor de la variable que divide a la muestra en dos (50%-50%).

Para poder calcularla primero debes identificar su posición, en este tipo de presentación, debes identificar el intervalo en el que se encuentra incluida la mediana.

Para muestras pares, la posición de la mediana se calcula como:

PosMe= n/2= 30/2= 15

Esto significa que la mediana corresponde a la 15va observación de la muestra, observando la columna de las frecuencias absolutas (simples o acumuladas) debes identificar cual es el intervalo de la mediana:

Al segundo intervalo se corresponde una frecuencia acumulada de 16, lo que significa que la posición de la mediana está incluida en este intervalo:

[164;168)

Entonces puedes calcular la mediana como:

[tex]Me= Li + c [\frac{PosMe-F_{(i-1)}}{f_i} ][/tex]

Dónde

Li: es el límite inferior del intervalo de mediana.

c: es la amplitud del intervalo

F₍i₋₁₎: frecuencia absoluta acumulada del intervalo anterior al intervalo mediana

fi: frecuencia absoluta del intervalo mediana

[tex]Me= 164 + 4 [\frac{15-6}{10} ]= 167.6[/tex]

Me= 167.6 cm, como puedes notar, el valor de la mediana se encuentra entre los límites del intervalo.

Modo o Moda:

El modo o la moda de una distribución corresponde al valor más observado, es decir, al valor con mayor frecuencia absoluta simple. Al igual que la media, para calcular el modo primero debes identificar el intervalo que lo contiene. En este caso, el intervalo modal será aquel con la mayor frecuencia absoluta simple.

[164;168)

La fórmula para calcular el modo es:

[tex]Md= Li + c[\frac{(f_{max}-f_{ant})}{(f_{max}-f_{ant})+(f_{max}-f_{post})} ][/tex]

Li: es el límite inferior del intervalo modal

c: es la amplitud del intervalo

[tex]f_{max}[/tex]: es la frecuencia absoluta simple del intervalo modal.

[tex]f_{ant}[/tex]: es la frecuencia absoluta simple del intervalo anterior al intervalo modal.

[tex]f_{post}[/tex]: es la frecuencia absoluta simple del intervalo posterior al intervalo modal.

[tex]Md= 164 + 4[\frac{10-6)}{(10-6)+(10-8)} ]= 164+4[\frac{4}{4+2} ]= 166.67[/tex]

Md= 166.67 cm

¡Espero que tengas un buen día!

Answer:

Hans deposits $6000 into an account.

=> Principal P = 6000

Simple interest rate 5% per year.

=> Rate R = 5% = 5/100 = 0.05

The formula to calculate the amount of interest after 4 years:

A = P x R x years = 6000 x (5/100) x 4 = 1200$

Hope this helps!

:)

Answer:

15 is your answer

Step-by-step explanation:

2 x 5 =10

3 x 5 =15