Six girls were playing a game with marbles. The 48 marbles were to be divided evenly among the girls. How many marbles did each girl receive?​

Answer:

The shelf life of a particular dairy product is normally distributed with a mean of 12 days and a standard deviation of 3 days. 3. A line up for tickets to a local concert had an average (mean) waiting time of 20 minutes with a standard deviation of 4 minutes.

Step-by-step explanation:

Answer:

66.7%

Step-by-step explanation:

The number of seedlings planted is 6, while the number of seedlings that survived the winter is 4. Therefore the percentage of seedlings that survived can be gotten using the formula:

Percentage of seedlings survived = (survived seedlings / total seedlings planted) * 100%

Therefore substituting values gives:

Percentage of seedlings survived = (4 / 6) * 100% = 66.7%

Given:

The given sets are:

Set a : 200, 104, 100, 160.

Set b: 270, 400, 483, 300, x.

Mean of set a: mean of set b= 3:8

To find:

The value of x.

Solution:

Formula for mean:

[tex]Mean=\dfrac{\text{Sum of observations}}{\text{Number of observation}}[/tex]

The mean of set of a is:

[tex]Mean=\dfrac{200+104+100+160}{4}[/tex]

[tex]Mean=\dfrac{564}{4}[/tex]

[tex]Mean=141[/tex]

The mean of set of b is:

[tex]Mean=\dfrac{270+400+483+300+x}{5}[/tex]

[tex]Mean=\dfrac{1453+x}{5}[/tex]

[tex]Mean=\dfrac{1453+x}{5}[/tex]

It is given that,

Mean of set a: mean of set b= 3:8

[tex]\dfrac{141}{\dfrac{1453+x}{5}}=\dfrac{3}{8}[/tex]

[tex]\dfrac{705}{1453+x}=\dfrac{3}{8}[/tex]

[tex]8\times 705=3\times (1453+x)[/tex]

[tex]5640=4359 +3x[/tex]

Isolate the variable x.

[tex]5640-4359 =3x[/tex]

[tex]1281 =3x[/tex]

Divide both sides by 3.

[tex]\dfrac{1281}{3} =x[/tex]

[tex]427 =x[/tex]

Therefore, the value of x is 427.

Answer:did u ever get it

Step-by-step explanation:

Answer:

C.

[tex] - \infty < y < \infty [/tex]

Answer:

Q 5.9

Step-by-step explanation:

Que el dinero gastado por Juan sea x

Deja que el dinero gastado por Carolina sea y

Si el dinero total gastado es Q 15

Luego;

x + y = 15 ------- (1)

De la segunda oración;

y = x + 3,2 -------- (2)

Sustituyendo (2) en (1)

x + x + 3,2 = 15

2x + 3,2 = 15

2x = 15 - 3,2

2x = 11,8

x = 5,9

x = Q 5.9

Por lo tanto Juan gastó Q 5.9

Answer:

Yes

Step-by-step explanation:

Answer:

the answer is D have a good day

Answer:

1.875kg

Step-by-step explanation:

48 - 1000g

90 - x

48x = 90000

x = 90000/48

  = 1875g = 1.875kg

Feel free to mark as brainliest :D

Answer:

Step-by-step explanation:

a. Find the unit rate, or how many miles they traveled in one hour, by dividing:

[tex]\frac{392}{7}=56 mph[/tex]

b. Now that we know how fast they were going, we can use it in either a proportion or in the d = rt equation. For the proportion set up, put miles on the top and hours on the bottom and solve for the unknown:

[tex]\frac{mi.}{hr}:\frac{56}{1}=\frac{728}{x}[/tex] and cross multiply to solve for x:

56x = 728 so

13 hours.

Now use the d = rt equation:

728 = 56t so

t = 13 hours

Answer: Dime

Step-by-step explanation: A half-dollar coin is 50 cents. A quarter is worth 25 cents.

50 + 25 = 75 cents.

75 + 10 = 85 cents.

A half-dollar + a quarter + a dime = 85 cents.

I hope this helps!

Answer:

Step-by-step explanation:

use pythagoras theorem

a^2+b^2=c^2

g^2+g^2=24^2

2g^2=576

g^2=576/2

g^2=288

g=[tex]\sqrt{288}[/tex]

g=12[tex]\sqrt{2}[/tex]

Answer:

368 square meter

Step-by-step explanation:

just guessing

Answer:368

I got it right

Answer:

the second one

Step-by-step explanation:

Answer:

4/5x+3

Step-by-step explanation:

remove the useless parenthesis, then calculate the x sum then the normal numbers sum

Answer:

P = (12/27)*(11/26) = 0.188

Step-by-step explanation:

Si todos tienen la misma probabilidad de estar en cargo de presidente y vicepresidente, entonces:

La probabilidad de que una mujer sea presidente, es igual al cociente entre el número de mujeres y el número total de personas:

p = 12/27

Ahora queremos calcular lo mismo para vicepresidente, y el cálculo es exactamente igual, con la diferencia de que en esta situación, ya hay una mujer en el cargo de presidente, entonces hay 11 mujeres que pueden ser vicepresidente, y un total de: (11 + 15 = 26 personas)

Entonces ahora la probabilidad es:

q = 11/26

La probabilidad conjunta (es decir, la probabilidad de que ambos eventos pasen) es igual al producto de las probabilidades individuales.

P = (12/27)*(11/26) = 0.188

Answer: X=6  Y=4

x+y= 10

6+4=10

 x-y=2

6-4=2

Answer:

x=6

y=4

Step-by-step explanation:

Use an elimination method:

add equation 1 and 2 together.

2x = 12

divide both side by 2

x = 12/2

x = 6

use equal 1,

x + y = 10

y = 10 - x

y = 10 - 6

y = 4

Hello there I hope you are having an great Day :)

1) 32780ml = 32.78

2) 37 1/2% of 24 = 9

Hopefully that helps you :)

Given :

Jack bought 50 lbs of clay for his art projects. He used 13.2 lbs to make a sculpture, and 0.72 lbs for each mug.

To Find :

How many mugs did Jack make if he had 28.88 lbs of clay left over.

Solution :

Clay required to make 1 mug, r = 0.72 lbs.

Amount of clay left after making sculpture is, T = 28.88 lbs.

Now, number of clay mug Jack can make is :

[tex]n = \dfrac{28.88}{0.72}\\\\n= 40.11[/tex]

Since, number of mug cannot be in decimal, so we take the floor value.

Therefore, number of mug that can be prepared is 40 .

[tex]1\frac{1}{2}[/tex] [tex]batches[/tex]

➛➛➛➛➛

[tex]\frac{1/2}{1} =\frac{3/4}{x}[/tex]

[tex]\frac{1}{2} =\frac{3}{4x}[/tex]

[tex]cross~multiply[/tex]

[tex]4x=2(3)[/tex]

[tex]\frac{4x}{4} =\frac{6}{4}[/tex]

[tex]x=\frac{3}{2} =1\frac{1}{2}[/tex]

Answer:

The probability that you will roll a 4 is 1/6

Step-by-step explanation:

A basic number cube has 6 sides.

Each side is marked by one of the numbers: 1, 2, 3, 4, 5, 6

The 4 is only on one out 6 of the sides so it is 1/6 probability

Please considering pressing the thank you button if it helped.

Answer:

Step-by-step explanation:

c.

y= 30x² +44x +16

factor

y= 2 (15x² +22x +8)

find zeros

15x²+22x+8=0

ax²+bx+c=0

x= (-b±√(b²-4ac))/2a

x= -22±√484-480/30 = -22±2/30 = -11±1/15

there are 2 zeros x= -10/15 ; x= -12/15

d.

y= 10x² +60x +80

factor

y= 10(x²+6x+8) = 10( x+2)(x+4)

finding zeros

x+2 =0 so x= -2

x+4 =0 so x= -4

there are 2 zeros x= -2; x= -4

Answer:

x+10+88=180

x. =180-98

x. =82

Answer:

[tex](\frac{3^{-1}+2^{-1}}{5^{-1}})^{-1}+3=\frac{81}{25}[/tex]

Step-by-step explanation:

Given expression is,

[tex](\frac{3^{-1}+2^{-1}}{5^{-1}})^{-1}+3[/tex]

By solving the given expression,

[tex](\frac{3^{-1}+2^{-1}}{5^{-1}})^{-1}+3=(\frac{\frac{1}{3}+\frac{1}{2}}{\frac{1}{5}})^{-1}+3[/tex]

                     [tex]=(\frac{\frac{2+3}{6}}{\frac{1}{5}})^{-1}+3[/tex]

                     [tex]=(\frac{\frac{5}{6}}{\frac{1}{5}})^{-1}+3[/tex]

                     [tex]=(\frac{5}{6}\times \frac{5}{1})^{-1}+3[/tex]

                     [tex]=(\frac{25}{6})^{-1}+3[/tex]

                     [tex]=\frac{6}{25}+3[/tex]

                     [tex]=\frac{6+(25\times 3)}{25}[/tex]

                     [tex]=\frac{81}{25}[/tex]

Answer:

Con cada depósito se pueden llenar 3,617.28 envases.

Step-by-step explanation:

Dado que el agua de un manantial se conduce hasta unos depósitos cilíndricos que miden 12 m de radio de la base y 20 m de altura, y luego se embotella en bidones de 2.5 litros, para determinar cuántos envases se llenan con cada depósito se debe realizar el siguiente cálculo, sabiendo que el volumen de un cilindro se obtiene multiplicando pi por el radio del cilindro al cuadrado por su altura:

3.14 x (12x12) x 20 = X

3.14 x 144 x 20 = X

452.16 x 20 = X

9,043.2 = X

9,043.2 / 2.5 = X

3,617.28 = X

Por lo tanto, con cada depósito se pueden llenar 3,617.28 envases.

Answer:

We can conclude that the room temperature on Saturday was 24°C

Step-by-step explanation:

For a set of N values:

{x₁, x₂, ..., xₙ}

The mean of the set is calculated as:

[tex]M = \frac{x_1 + x_2 + ... + x_n}{N}[/tex]

In this case, our set is the temperature of 7 days (so we have 7 elements)

{T₁, T₂, T₃, T₄, T₅, T₆, T₇}

Such that:

T₆ = temperature on Saturday

T₇ = temperature on Sunday.

We know that:

"The mean room temperature from Monday to Saturday is 25°C"

Then:

[tex]\frac{T_1 + T_2 + T_3 + T_4 + T_5 + T_6}{6} = 25 C[/tex]

"the mean room temperature of Saturday and Sunday is 28°C"

[tex]\frac{T_6 + T_7}{2} = 28C[/tex]

"The mean room temperature from Monday to Sunday is 26°C"

[tex]\frac{T_1 + T_2 + T_3 + T_4 + T_5 + T_6 + T_7}{7} = 26 C[/tex]

So we have 3 equations.

Let's rewrite:

T₁ + T₂ + T₃ + T₄ + T₅ = A

Then we can rewrite our equations as:

[tex]\frac{A+ T_6}{6} = 25 C[/tex]

[tex]\frac{T_6 + T_7}{2} = 28C[/tex]

[tex]\frac{A + T_6 + T_7}{7} = 26 C[/tex]

Removing the "Celcius" and multiplying in the 3 equations by the denominator on both sides, we get:

A + T₆ = 6*25

T₆ + T₇ = 2*28

A + T₆ + T₇ = 7*26

We now need to solve that system for T₆

The first step is to isolate one of the variables in one of the equations, (because we want to solve this for T₆ , let's not isolate that one). Let's isolate A in the first one:

A = 6*25 -  T₆

A = 150 -  T₆

Now we can replace this on the other two equations:

T₆ + T₇ = 2*28

(150 -  T₆ ) + T₆ + T₇ = 7*26

Now, let's isolate T₇  in the top equation to get:

T₇  = 2*28 - T₆

T₇  = 56 - T₆

Now we can replace this in the last equation to get:

(150 -  T₆ ) + T₆ + (56 - T₆)  = 7*26

Now, we can solve this for T₆

150 - T₆ + T₆ + 56 - T₆ = 182

-T₆ = 182 - 150 - 56

-T₆ = -24

T₆ = 24

We can conclude that the room temperature on Saturday was 24°C

Answer:

72.5

Step-by-step explanation:

Angle X is congruent to 35

both angles y and angle x together form a line that equals 180

so for angles y, take 180 - 35 = 145

Angles y is 145/2

Answer:

m<A = 84

AC = 9

Step-by-step explanation:

We can find the measure of Angle A by using the sum of interior angles of a triangle theorem.

48+48+A=180

96+A=180

A=84

We can then use the isosceles triangle similarity theorem and reason that since this is an isosceles triangle and one of the side lengths (AB) is 9, the other (AC) would also be 9.

Answer:

9/10

Step-by-step explanation:

Answer:

m`/_DAB` will be equal to m`/_CAB`.

Step-by-step explanation:

Correct on edmentum.