A box contains 7 red marbles, 4 white marbles, and 5 blue marbles. If only white marbles are added to the box, how many must be added to make the probability of drawing a white marble 1/3?

Answers

Answer 1

Number of white marble added for same probability is 2

Given:

Number of red marble in box = 7

Number of white marble in box = 4

Number of blue marble in box = 5

Probability of drawing a white marble = 1/3

Find:

Number of white marble added for same probability

Computation:

Assume;

Number of white marble added = a

[tex]Probability = \frac{Number\ of\ favorable\ outcomes}{total\ outcomes}[/tex]

So,

[tex]\frac{1}{3} = \frac{(a + 4)}{(7 + 4 + 5 + a)} \\\\\frac{1}{3} = \frac{(a + 4)}{(16 + a)} \\\\16 + a = 3a + 12 \\\\ 2a = 4\\\\a = 2[/tex]

Number of white marble added = 2

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A Box Contains 7 Red Marbles, 4 White Marbles, And 5 Blue Marbles. If Only White Marbles Are Added To
Answer 2

Answer:

2

Step-by-step explanation:


Related Questions

please help me i need this grade !

Answers

Answer:

C. 15

Step-by-step explanation:

[tex]a^2 + b^2 = c^2[/tex] a= 9 b = 12. which would = 225

[tex]\sqrt{225}[/tex] = 15

Answer:

c. 15

Step-by-step explanation:

A right triangle can use the pythagorean theorem. Using this theorem you should get

[tex]12^2 + 9^2 = c^2\\c=\sqrt{144+81} \\c=15[/tex]

How do I solve for x? (Please Show Work)

Answers

Answer:

x = 17.6

Step-by-step explanation:

use sine

⇒ sine = [tex]\frac{opposite}{hypotenuse}[/tex]

⇒ sine 62 = [tex]\frac{20}{x}[/tex]

sine of 62 is 0.88

⇒ 0.88 =  [tex]\frac{20}{x}[/tex]

multiply 20 on both sides

⇒ 0.88 x 20 =  [tex]\frac{20}{x}[/tex] x 20

⇒ 17.6 = x

Help what do I put for 3??

Answers

Answer:

c = 48m

Step-by-step explanation:

For every box, she can make 240/5 = 48 cupcakes. So, the equation is

c = 48m

PLEASE HELP I need to answer the question quick .

Write a linear equation in point-slope form for the line that goes through
(1, -3) and (3,9)

Answers

Answer:

D. y+3 = 6(x-1)

Step-by-step explanation:

i just wrote it out and i think thats the answer but not sure. hopefully this helps :)

resolver las siguientes ecuaciones de primer grado -5×-6=24​

Answers

You would add -5+-6=-11
-11=24 you would divide 24/-11=-2.18

Write a sentence to answer each question:

How much warmer is 82 than 40?

Answers

Answer:

82 is 42 degrees warmer than 40

Step-by-step explanation:

if you subtract 40 from 82, you get 42 meaning that the answer will be 42 degrees more than 40

Simplify: 70x/2x.
A. 32
B. 33
C. 34
D. 35

Answers

The answer is D. 35. The x’s cancel out because x divided by x is 1 leaving you with 70/2 which is then 35.
Hope this helped.

Sam took a math test and got 35 out of 50 answers correct. What was the percentage of correct answers?
A. 70%
B. 50%
C. 35%
D. 75%

Answers

Answer:

A.70&

Step-by-step explanation:

35/50 averaged is 70%

Which of the following is FALSE for the Rectangle shown? (Highlight ONE)

Answers

Answer:

Step-by-step explanation:

Solve:
V5x+1+6=4
V=square root

Answers

Answer:

the answer is c hope it help

Answer: D

Step-by-step explanation:

1. movethe constanat to the right

2. Calculate

3.The statement is false

Epositas $545,680 pesos en una cuenta que ofrece pagar 2.25.% semestral durante año y 10 meses a) ¿Cuánto recibirás en total al final del plazo?

Answers

Responder:

$ 555,911.5

Explicación paso a paso:

Dado

Principal = $ 545,680

Interés = 2,25%

Tiempo = 10 meses = 10/12 años

Debemos buscar la cantidad después de 10 meses.

Monto = Principal + Intereses

Interés = PRT / 100

Interés = 545,680 * 2,25 * 10/1200

Intereses = 12,277,800 / 1200

Interés = 10.231,5

Cantidad = 545,680 + 10,231.5

Cantidad = 555,911.5

por lo tanto, la cantidad después de 10 meses es $ 555,911.5

Yo can someone help me

Answers

Answer:

Graph #2

Step-by-step explanation:

I would use Desmos for this, makes it easier to find out which graph is for the equation.

A recipe calls for 1/2 cup sugar and 1 cup flour. How much flour will you need if you use 1 cup of sugar?

Answers

You would need 2 cups of flour. It’s just multiplying by 2.

someone pls pls pls help

Answers

Answer:

[tex]I= \frac{1}{ {2}^{t} } [/tex]

Step-by-step explanation:

Please see the attached picture for the full solution.

Find the missing leg

Answers

Omg the legs are gonee

fr where are the legs

How many solutions are there to the system of equations shown?

{16x−12y=40
4x−3y=10

I don't really understand these so an explanation would be nice :)

Answers

Step-by-step explanation:

-6 i think

Answer:

infinitely many solutions

Step-by-step explanation:

right on edg

In triangle Uvw , the measure of angle w=90°, the measure of angle u=50 , and wu = 27 feet. Find
the length of Vw to the nearest tenth of a foot.

Answers

Answer:

32.2 feet

using trigonometry, we find that sin(u)=VW/WU

sin50=VW/27

27sin50=32.177347

VW=32.2

Answer the questions to describe the transformations of figure ABCD.
B
6
CIC
B'
8
D D'
A
6.3
A
D"
A"
B"
1. Is ABCD a translation, rotation, or reflection of ABCD? Explain how you can tell.

Answers

Answer:

1. Reflection

2. rotation and reflection

3. b', b''

4. 26.3

Step-by-step explanation:

1. It is like looking in a mirror. Its is being reflected across the y axis

2. It is rotated 90 degrees to the right. Then reflected over the x axis.

3. they are the same

4. It is the same as A" B" C" D" so the lengths are the same and you just add them.

Step-by-step explanation:

Mitch throws a ball over a 20 foot fence to a baseball field

Answers

Answer:

can you expand on your question?

Step-by-step explanation:

umm plss help i dont know the answer

Answers

Answer:

x^2+1

You need to go ahead and distribute the power of 2 into the equation, remember pemdas is extremely important when doing this

9.Solve. 5a - 10 = 4a + 8Immersive Reader
(2 Points)

a = 18

a = -18

a = 2

a = -2

Answers

5a-10=4a+8

5a-4a=8+10

a=18

How much vanilla extract will be needed to make 2 dozen cookies? Show your work.

Answers

Answer: the answer is 2 teaspoons of vanilla extract.

hope this helped

PLS help ASAP I DONT have time to answer this, it also detects if it’s right or wrong.

Answers

Answer:

31.4

Step-by-step explanation:

find the perimeter of the rectangle below

Answers

Answer:

I don't know that but the W is x+1/2

Step-by-step explanation:

hope this helps


Dana bought 12 pizzas for a Math Club party. Some were pepperoni pizzas that $11.00 each,
and the rest were mushroom pizzas that cost $9.50 each. She paid $124.50 for the pizzas. How
many pepperoni pizzas did she buy

Answers

Answer:

7 pepperoni pizzas

Step-by-step explanation:

First, you take the biggest number and subtract it by 9.5 until you get a number that can be divided into 11 which is 77.

Answer:

7 pepperoni pizzas

Step-by-step explanation:

Where p = # of pepperoni pizzas and m = # of mushroom pizzas

124.50 = 11p + 9.5m

Now you need to guess and check:

Use this equation: (124.5 - 11 * p) / 9.5 and replace p with whole numbers until you get a whole number as the output

I got p=7 and m=5

So she bought 7 pepperoni pizzas

Find the value of 63.

Answers

Answer:

63 is equal to itself. Is that what you meant? If not, please send a screenshot of the problem. You can edit the post.

Answer:

The value of 63???? 63??

Marty paid $45 for a jacket that had been marked down 25%. What is the original price of the jacket?

Answers

Answer:

$60

Step-by-step explanation:

Since the jacket is marked down 25%, it is now at the value of 75%.

75% of the value is $45.

100% of the value is=45×100/75=$60

Therefore, the original price of the jacket is $60.

Find the slope of the line.

Answers

Step-by-step explanation:

y2-y1/

x2-x1

3-(-3)/

1--2

6/3=2

What is 3(x + 2) – 2x + 4 in tile form urgent for a test
pleaseeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeese help me

Answers

Answer:

b

Step-by-step explanation:

3(x + 2) - 2x + 4

3x + 6 - 2x + 4

combine like terms:

1x + 10

3tan(x) = 2sin(2x) from [0,2 pi)

(Please explain steps)

Answers

Answer:

The answer is "[tex]\bold{\frac{\pi}{6}}[/tex]"

Step-by-step explanation:

[tex]\to 3 \tan(x) = 2 \sin(2x) \\\\[/tex]

[tex]\to 3 \frac{\sin x}{\cos x} = 2 2\sin x \cos x \\\\\to 3 \frac{\sin x}{\cos x} = 4\sin x \cos x \\\\\to \frac{\sin x}{\cos x \sin x \cos x } = \frac{4}{3} \\\\\to \frac{1}{\cos^2 x } = \frac{4}{3} \\\\\to \sec^2 x = \frac{4}{3} \\\\\to \sec x = \frac{2}{\sqrt{3}} \\\\\to \sec x= \sec \frac{\pi}{6} \\\\ \to x= \frac{\pi}{6}[/tex]

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