A game is played, where a die is tossed and a marble selected from a bag. Bag M contains 3 red marbles (R) and 2 green marbles (G). Bag N contains 2 red marbles and 8 green marbles. A fair six-sided die is tossed. If a 3 or 5 appears on the die, bag M is selected (M). If any other number appears, bag N is selected (N). A single marble is then drawn at random from the selected bag. Question ----> Find the probability that a green marble is drawn from either bag.

Answers

Answer 1

Answer:

2/3

Step-by-step explanation:

A die has 6 sides.  If a 3 or 5 is rolled, then bag M is selected.  So the probability that bag M is selected is 2/6 = 1/3.

Likewise, if a number other than 3 or 5 is rolled, then bag N is selected.  So the probability that bag N is selected is 4/6 = 2/3.

If bag M is selected, the probability the marble is green is 2/5.  The probability that M is selected, AND the marble is green, is therefore:

(1/3) (2/5) = 2/15

If bag N is selected, the probability that the marble is green is 8/10 = 4/5.  The probability that N is selected, AND the marble is green, is therefore:

(2/3) (4/5) = 8/15

The total probability that a green marble is selected is therefore:

P = 2/15 + 8/15

P = 10/15

P = 2/3

Answer 2

Bag M: 3 red and 2 green = 5 total, so green = 2/5

Bag N: 2 red and 8 green = 10 total, so green = 8/10 = 4/5

Dice roll: chance of getting Bag M is 2/6  ( 2 numbers out of 6 total numbers on a die), reduces to 1/3

Chance of getting Bag N is 4/6 = 2/3

The probability of picking green = Probability of Bag M x Probability of green in bag M + probability of bag N x probability of green in bag N:

2/5 * 1/3 + 4/5 * 2/3 = 2/15 + 8/15 = 10/15 = 2/3

The probability = 2/3


Related Questions

Simplify each expression 7(9k + 6m)

Answers

Answer:

The correct answer is 63k + 42m.

Step-by-step explanation:

To solve this problem, we must remember how to use the distributive property.  The distributive property tells us that if we have a coefficient outside of the parentheses (in this case, 7), we can multiply each term inside the parentheses by this coefficient and add the products together.  This is modeled below:

7(9k + 6m)

(7*9k) + (7 * 6m)

63k + 42m

Therefore, the correct answer is 63k + 42m.

Hope this helps!

The answer is 63k+42m

Explanation: you take 7 and multiple it by 9k and that equals 63k and then you take 7 again and multiply it by 6m and that equals 42m

HELP HELP HELP HELP PLSSS

Answers

Answer:18

I hoped it helped

Answer:

you have to use P.E.M.D.A.S

Step-by-step explanation:

Parentesis, Equation, Multiplication,Divied,Add, Subtracting

Evaluate the following function for x=−4 f(x)=2x+5 A −13 B −3 C 13 D 3

Answers

Answer:

[tex]\huge\boxed{B. \ -3}[/tex]

Step-by-step explanation:

[tex]f(x) = 2x+ 5[/tex]

Put x = -4

[tex]f(-4) = 2(-4) + 5\\f(-4) = -8+5\\f(-4) = -3[/tex]

The speed(S) of a car varies partly directly as its mass(M) and partly directly as the quantity (Q) of fuel in it. When the speed is 80km/hr, the mass is 220kg and the quantity of fuel is 30litres, when the speed is 60km/hr, the mass is 300kg and the quantity of fuel is 40 litres. Find the volume of fuel if the speed is 100km/hr and the mass 250kg​

Answers

Answer:

S varies partly directly as M and Q.

S=C.

S=KMQ+C.

For the first one...

speed=80,m=220,Q=30.

80=K20×30+C.

80=600K+C......(I).equation one.

For the second one....

speed=60,m=300,Q=40.

60=K300×40+C.

60=12000K+C.....(ii). equation two.

Minus eqtn(I) from eqtn(ii).

80=600K+C.

- 60=12000K+C.

K=0.01754~0.018.

Substitute K=0.018 into eqtn(I).

80=600K+C

80=600×0.018+C.

80=10.8+C.

C=80-10.8=69.2.

The relation is S=0.018MQ+69.2

when speed is 100 and mass is 250 find the volume.

100=0.018×250×Q+69.2.

100=4.5Q+69.2.

4.5Q=100-69.2

4.5Q=30.8.

Q=30.8/4.5.

Q=6.8~7litres.

Find EF given E(-7, -2) and F(11, 3). Round your answer to the nearest thousandth (3 decimal places).

Answers

Answer:

18.682

Step-by-step explanation:

Given that :

E = (-7, - 2) ; x1 = - 7 ; y1 = - 2

F = (11, 3) ; x2 = 11 ; y2 = 3

EF = √((x2 - x1)² + (y2 - y1)²)

EF = √((11 - -7)² + (3 - -2)²)

EF = √((11 + 7)² + (3 + 2)²)

EF = √(18² + 5²)

EF = √324 + 25

EF = √349

EF = 18.6815

EF = 18.682 units (3 decimal places )

Simplify 36/90 need to no the steps the answer is 2/5 just need steps

Answers

Answer:

2/5

Step-by-step explanation:

Divide the top and bottom by 18

36/90

36÷ 18 = 2

90 ÷18 = 5

36/90 = 2/5

Answer:

Below

Step-by-step explanation:

Notice that:

● 36 = 18×2

● 90 = 18×5

■■■■■■■■■■■■■■■■■■■■■■■■■■

● (36/90) = (18×2)/(18×5)

● (36/90) = (18/18) × (2/5)

● (36/90) = 1 × (2/5)

● (36/90) = (2/5)

write one-half times a number minus 4. use x as a variable

Answers

Answer:

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

Step-by-step explanation:

Answer:

1/2 (x)-4

Step-by-step explanation:

Hopes this helps

What’s the sum of the number m and the number after it?

Answers

Answer:

wat number put the value there

The required sum of the number m and the number after it 2m + 1.

Given that,
To determine the sum of the number m and the number after it.

What is arithmetic?

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication, and division.

What is simplification?

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Let the number m and the number after m is m+1
Now the sum = m + m + 1
                      = 2m + 1

Thus, the required sum of the number m and the number after it 2m + 1.

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70=(4x+36)/2 figure this out please

Answers

Answer:

[tex]\boxed{\bold{\huge{\boxed{x = 26}}}}[/tex]

Step-by-step explanation:

[tex]70 = \frac{4x+36}{2}[/tex]

Multiplying both sides by 2

[tex]70 * 2 = 4x+36[/tex]

[tex]140 = 4x+36[/tex]

Subtracting 36 to both sides

[tex]140 - 36 = 4x[/tex]

[tex]104 = 4x[/tex]

Dividing both sides by 4

[tex]26 = x[/tex]

OR

[tex]x = 26[/tex]

Answer:

x=26

Step-by-step explanation:

[tex]70=\frac{4x+36}{2}\\ 70*2=4x+36\\140=4x+36\\4x=140-36\\4x=104\\\frac{4x}{4}=\frac{104}{4}\\ x=26[/tex]

check

70=(4x+36)/2

70=(4*26+36)/2

70=(104+36)/2

70=140/2

70=70

Calculate the slope of the line on the graph

Answers

Answer:

3.5 (meters per second)

Step-by-step explanation:

To calculate the slope, we need two points. Let's see if we can select two points from the graph.

From the graph, we can pick out two possible points.

At the beginning, (0,2.5) is a valid candidate.

And at the end, with (5,20). Thus, let's use the slope formula to calculate the slope.

The slope formula is:

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Let (0,2.5) be x₁ and y₁ and let (5,20) be x₂ and y₂. Thus:

[tex]m=\frac{20-2.5}{5-0}[/tex]

Simplify:

[tex]m=\frac{17.5}{5}\\ m=3.5[/tex]

Thus, the slope is 3.5 meters per second.

Further notes:

And the entire equation will be:

[tex]m=3.5s+2.5[/tex]

what is 7vr - (-7rv)=

Answers

Answer:

14vr

Step-by-step explanation:

7vr - (-7rv)=

Subtracting a negative is like adding

7vr + (7rv)=

Changing the order of rv to vr

7vr + (7vr)=

Combing like terms

14vr

can someone help me solve this please + ( − )2

Answers

-2

We know that a positive and a negative will end in a negative result. (+) (-) = (-)

what does -11 - (-6) =

Answers

Answer:

-5

Step-by-step explanation:

What is the decimal of the fraction 7/9?

Answers

Answer:

0.77777777777777777777777777777777(the 7 repeats forever)

Step-by-step explanation:

Answer: 0.78

To find the decimal of a fraction, you divide the numerator by the denominator. 7 ÷ 9 is equal to 0.77777... which is equal to 0.78 when rounded.

Whats the answer? 8(2 ÷ 2) = 2(8 ÷ 2) A. 6=6 B. 4=4 C. 8=8

Answers

The answer is c 8=8 because 2/2=1x8=8 and 8/2=4x2=8 so it is c 8=8

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{8 = 8}}}}}[/tex]

Option C is the correct option

Step-by-step explanation:

[tex] \sf{8(2 \div 2) = 2(8 \div 2)}[/tex]

Left hand side ( L.H.S )

⇒[tex] \sf{8(2 \div 2)}[/tex]

Divide 2 by 2

⇒[tex] \sf{8 \times 1}[/tex]

Multiply the numbers : 8 and 1

⇒[tex] \sf{8}[/tex]

Again, Right hand side ( R.H.S )

[tex] \sf{2(8 \div 2)}[/tex]

Divide 8 by 2

⇒[tex] \sf{2 \times 4}[/tex]

Multiply the numbers : 2 and 4

⇒[tex] \sf{8} [/tex]

8 = 8

Hope I helped!

Best regards!!

Given the diagram above, m∠Z is:

Answers

Answer:

z = 120º

Step-by-step explanation:

t + 2t + t + 2t = 360º

60 + 2(60) + 60 + 2(60) = 360

t = 60

2t = z

z = 120º

This is all based on the fact there there are 360º in a quadrilateral.

Describe a single transformation the has the same effect as rotations a shape 90 degrees clockwise around the origin, then reflecting the result over the x-axis

Answers

Answer:

reflection over the line y = x

Step-by-step explanation:

A transformation is the movement of a point from its initial location to its new location. If a shape is transformed then all its points are also transformed. Types of transformations are rotation, translation, dilation and reflection.

If apoint A(x, y) is rotated 90 degrees clockwise around the origin then the new location is at A'(y, -x). Then if the point A'(y, -x) is reflected over the x axis the new location is A" (y, x)

If a point A(x , y) is reflected over y = x, the new coordinate is A'(y , x)

A transformation that corresponds to rotating a shape 90 degrees clockwise around the origin, then reflecting the result over the x-axis is a reflection over the line y = x

1. Simplify 2(1 - 10x) - 2(6x - 4)

Answers

-32x+10 !!!!!!!!jdhdhdhbdbdbrbrbbrd

How do I solve for x?

Answers

2x + 2x + 15 - x +4x - 7 + 9 = 94

8x - x + 17 = 94

7x = 94 - 17

7x = 77 / : 7

x = 11 [ m }

Julie has a jewlery box shaped like a cube. The volume of the jewlery box is v cubic inches. Write an
expression that represents the edge length of Julie's jewlery box, in inches.

Answers

Answer: ∛v

Step-by-step explanation:

Since we know volume is measured height x width x length, we know the equation we'd use here would be:

___ x ___ x ___ =  v in³

If this was area, we would have ___ x ___ = v in², and it would be easy to find each blank. You would just find the square root of "v", making your answer √v.

When you have 3 things multiplied by each other (that are exactly the same, which is the situation here since this is a cube), you will want to find ∛x (if x is our unknown variable). This means that we are finding ONE-THIRD of the number ... sort of. So if x was equal to 8, then ∛x = 2, because 2 x 2 x 2 = 8.

In our situation here, x = v, and since we don't know the actual number, we will keep it as a square root, so the answer to your question is ∛v.

I really hope I was able to explain easy enough, feel free to ask anything else!

Li uses 8.4 grams of sugar every day in her tea. Sue uses 12.6 grams of sugar every day in her coffee. If Li’s sugar canister contains 128 grams of sugar and Sue’s canister contains 191 grams, in how many days will Li and Sue have the same amount of sugar in their canisters?

Answers

Answer:

They will have the same amount of sugar in their canisters in 15 days

Step-by-step explanation:

Here in this question, we are concerned with knowing the number of days in which the amount of sugar in both canisters will be the same.

Since we do not know the number of days it will take, we have to represent it using a variable.

Let the number of days be x days

Now, we are told Li uses 8.4 g per day.

So in x days, the amount user will be 8.4 * x = 8.4x g

Thus, the amount of sugar remaining in her canister after x days will be 128 - 8.4x

For Sue, she uses 12.6 grams each day. So in x days, the amount of sugar used will be 12.6 * x = 12.6x g

So the amount of sugar left in her canister will be 191-12.6x

Since on the xth day , the amount of sugar remaining is same, we can equate the amount of sugar remaining in both canisters. That would be;

128-8.4x =191-12.6x

Collect like terms;

12.6x-8.4x = 191-128

4.2x = 63

x = 63/4.2

x = 15 days

18 n squared + 120 n - 378​

Answers

Answer:

18n^2+120-378

Step-by-step explanation:

18n^2+120-378

The above expression can't be simplified further because the terms aren't like terms.

Hope this helps ;) ❤❤❤

Answer:

18n squared + 120n - 378

4.243 + 120n + 378

124.243 + 378

502.243

10+80-60x3 divided by 4 -7 x 3 +6

Answers

30 is the answer I did the math

Answer:

90/ 11 or 8.18

Step-by-step explanation:

(10+80-60 * 3) / ( 4 -7 x 3 +6)

-90/-11

90/11

8.18

85 out of 200 workers in a building arrive at 8:00 a.m. What percent of workers in the building do NOT arrive at 8:00 a.m.?

Answers

Answer:

57.5 %

Step-by-step explanation:

First find out the number of workers that do not arrive by 8 am

200 -85 = 115

Take this number divided by the total

115/200 = .575

Change to percent form

57.5 %

Translate this sentence into an equation.
The sum of 14 and Vidya's score is 43.
Use the variable v to represent Vidya's score.

Answers

14+v=43

The equation shows the sum of 14 and Vidya’s score (v), which equals 43.

The sum of 14 and Vidya's score (v) can be translated into an equation as follows: 14 + v = 43

Let's represent Vidya's score using the variable "v."

In this equation, "v" represents Vidya's score, and the left-hand side of the equation represents the sum of 14 and Vidya's score. The right-hand side represents the value 43, which is the total sum according to the given statement.

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2. It takes 6 eggs to make 2 loaves of banana bread. How many eggs are needed to make 1 loaf of
bread?​

Answers

Answer:

3

Step-by-step explanation:

Answer:3

Step-by-step explanation: because half of 6 eggs are need to make 2 loaves so split that in half and you have 3

How do I find f(2) if f(x)=2x-1​

Answers

I hope this helps you

let's write 2 for x

f(2)=2.2-1

f(2)=4-1

f(2)=3

F(x)=2x-1
0=2x-1
-2x=-1
X= 1/2

PLZ ANSWER ASAP Select all the true statements. Line segment from -6 to 6. Point A is at -2, point b is at 1 and point c is at 6 The length of AB is -3. AB + BC = AC AB + AC = BC d(B, C) = BC = |6 - 1| The length of BC is 6.

Answers

Answer:65

Step-by-step explanation:

hgjvmd

given the equation y = 2x - 8, find the ordered-pair solution when x = 4 and the ordered-pair solution when y = 4

Answers

Answer:

When x = 4, (4, 0)

When y = 4, (6, 4)

Step-by-step explanation:

To find the ordered-pair solution when x = 4, plug 4 into the x of the equation.

y = 2x - 8

y = 2(4) - 8

y = 8 - 8

y = 0

This produces the ordered pair (4, 0).

To find the ordered-pair solution when y = 4, plug 4 into the y of the equation.

y = 2x - 8

4 = 2x - 8

12 = 2x

6 = x

x = 6

This produces the ordered pair (6, 4).

help plzzzzzzzzzzzz not i am lost. 100 points or more if I can. Show how to solve the Quadratic Equation y=6x^2 +2x - 20 or a different equation you choose by ALL OF THE FOLLOWING METHODS: Using Quadratic Formula by hand Using Factoring and the Zero Property Product Using Completing the Square Using Graphing on the Calculator

Answers

Answer:

see below

Step-by-step explanation:

y=6x^2 +2x - 20

a=6  b= 2  c = -20

Quadratic Formula

-b ± sqrt( b^2 - 4ac)

------------------------------

   2a

-2 ± sqrt( 2^2 - 4*6(-20))

------------------------------

   2*6

-2 ± sqrt( 2^2 - 4*6(-20))

------------------------------

   2*6

-2 ± sqrt(484)

------------------------------

   2*6

-2 ± 22

------------------------------

   12

20/12 = 5/3        -24/12 = -2

solutions are 5/3 and -2

Factoring

0=6x^2 +2x - 20

0 =2( 3x^2 +x - 10)

   =2 ( 3x-5) ( x+2)

Using the zero product property

3x-5 = 0   x+2 = 0

3x=5         x =-2

x = 5/3      x = -2

Completing the square

y=6x^2 +2x - 20

Add 20

20=6x^2 +2x

Divide by 6

20/6 = x^2 +2/6x

10/3 = x^2 +1/3x

Take the coefficient of x and divide by 2

1/3 /2 = 1/6

Square it

(1/6) ^2 = 1/36

Add it to each side

10/3 + 1/36 = x^2 +1/3x+ 1/36

120/36 + 1/36  = ( x+ 1/6) ^2

121/ 36= ( x+ 1/6) ^2

Take the square root of each side

sqrt(121/ 36) = sqrt( ( x+ 1/6) ^2)

±11/6 = x+1/6

Subtract 1/6 from each side

-1/6 ±11/6 = x

-1/6 - 11/6 = x      -1/6 + 11/6 = x

-12/6 =x                10/6 =x

-2 =x                         5/3 =x

Graphing

Answer: and Step-by-step explanation:

y=6x² +2x - 20

let a=6  

let b= 2

let c = -20

Using Quadratic Formula by hand Using Factoring and the Zero Property Product Using Completing the Square Using Graphing on the Calculator

using Quadratic Formula

-b ± √( b² - 4ac)

             2a

-2 ± √( 2² - 4*6(-20))

             2*6

-2 ± √( 2² - 4*6(-20))

              2*6

-2 ± √(484)

       2*6

20/12 = 5/3      

-24/12 = -2

the answers are 5/3 ;  -2

use by Factoring

0=6x² +2x - 20

0 =2( 3x² +x - 10)

   =2 ( 3x-5) ( x+2)

by using the zero product property

3x-5 = 0

x+2 = 0

3x=5        

x =-2

x = 5/3    

x = -2

by using completing the square

y=6x² +2x - 20   Add 20

20=6x² +2x        Divide by 6

20/6 = x² +2/6x

10/3 = x^2 +1/3x    Take the coefficient of x and divide by 2

1/3 /2 = 1/6             Square it

(1/6) ² = 1/36        Add it to both side s

10/3 + 1/36 = x² +1/3x+ 1/36

120/36 + 1/36  = ( x+ 1/6)²

121/ 36= ( x+ 1/6)²  Take the square root of both side

√(121/ 36) = √( ( x+ 1/6)²)

±11/6 = x+1/6          Subtract 1/6 from both side

-1/6 ±11/6 = x

-1/6 - 11/6 = x      

-1/6 + 11/6 = x

-12/6 =x                

10/6 =x

x = -2  

x = 5/3

by using a graphing computer

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