Two bags contain coloured cubes.
Bag 1 has 2 green cubes and 1 yellow cube.
Bag 2 has 3 green cubes and 1 yellow cube.
Determine each probability if you choose 2 cubes from Bag 1 without returning the first cube and 1 cube from Bag 2. What's the probability of getting all three cubes are the same colour.

Answers

Answer 1

The required probability would be 0.57, representing getting all three cubes are the same color.

What is probability?

Probability is defined as the possibility of an event being equal to the ratio of the number of favorable outcomes and the total number of outcomes.

Bag 1 contains 1 yellow and 2 green cubes.

Bag 2 contains 1 yellow and 3 green cubes.

Seven cubes total would be present.

You select one cube from Bag 2 and two cubes from Bag 1 without returning the first cube.

As per the condition,

So the probability of getting all three cubes are the same color would be

⇒ (³c₂ × ⁴c₁) / ⁷c₂

⇒ (3 × 4) / 21

⇒ 12 / 21

⇒ 0.57

Therefore, the probability would be 0.57, representing getting all three cubes are the same color.

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Related Questions

What is -2/3 divided 4/5

Answers

Answer:

-5/6

Step-by-step explanation:

-2/3 / 4/5 =

-2/3 * 5/4 =

-10/12 =

-5/6

Answer:

-5/6

Step-by-step explanation:

just divide it you will get the answer

The parking fee at the amusement park is $15. Each
ride requires a ticket that costs $4. Grams spent $71
for her grandchildren. How many ride tickets did
Grams purchase?

Answers

Answer:

Step-by-step explanation:

Total money spent = 71

Parking fee = 15

71 - 15 = 56

Each ride costs = 4

Total rides = 56 ÷ 4 = 14 rides

The product of −x2+5x−1 and a monomial is 4x2−20x+4.


What is the monomial?

Answers

Answer: M(x) = -4*x^0 = -4

Step-by-step explanation:

A monomial is a polynomial with only a term.

We can write a random monomial as:

M(x) = a*x^n

Where n is a natural number.

Then we know that:

(-x^2 + 5*x - 1)*a*x^n = 4*x^2 - 20*x + 4

Solving the left side, we get:

-a*x^(2 + n) + a*5*x^(1 + n) - a*1*x^n = 4*x^2 - 20*x + 4

First, we can see that the powers of x do not change after multiplying by the monomial, this means that we must have n = 0. Then we have:

-a*x^2 + a*5*x - a = 4*x^2 - 20*x + 4

The terms with equal powers of x must be equal between them, this means that:

-a*x^2 = 4*x^2

a*5*x = -20*x

-a = 4

From the last equation, (we also could get the same by solving the first or second) we get that a = -4

Then the monomial will be:

M(x) = -4*x^0 = -4

Solve for P=2l+2w. Solve for w

Answers

Answer:

[tex]w = \frac P2 - l[/tex]

Step-by-step explanation:

Solve for w by isolating the variable.

Solve for w[tex]P = 2l + 2w[/tex]

Factor 2 on the right-hand side

[tex]P = 2(l + w)[/tex]

Divide both sides by 2

[tex]\frac P2 = l + w[/tex]

Subtract L from both sides

[tex]\frac P2 - l = w[/tex]

The solution for w is [tex]\frac P2 - l[/tex]

Need help with number 11 ASAP!!!!

Answers

Answer:

78%, no he didn't score high enough

Step-by-step explanation:

78% !!! hope this helps !

write a quadratic function in standard form whose graph passes through (-5 0) (0,-8) and (4,0).

Answers

The required quadratic function in the standard form is f(x) = -1.25 x² + 5x.

What is a quadratic equation ?

A quadratic equation is an equation which contains a single variable of degree 2 and its general form is ax² + bx + c = 0.

The x - intercepts of the quadratic equation are (-5, 0) and (0 , -8). That meant (x + 5) and (x -0) are two factors of quadratic equation.

f(x) = a (x + 5) (x - 0)

f(x) = ax² + 5x

The graph of quadratic equation passes through (4 , 0). So we need to substitute x = 4 , f(x) = 0 in equation 1.

0 = a × 4² + (5 × 4)

0 = a × 16 +20

a = -20/16

We know that quadratic equation is in form ax² + bx + c = 0.

f(x) = [tex]\frac{-20}{16}[/tex] × x² + 5x

f(x) = [tex]\frac{-5}{4}[/tex]x² + 5x

f(x) = -1.25 x² + 5x  

Therefore , the required quadratic function in the standard form is f(x) = -1.25 x² + 5x.

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The word particle can be used to describe a speck of dust, molecule, an atom or an electron. How can we avoid confusion in using the word particle?​

Answers

Answer:

To avoid confusion in using the word "particle," one must state that a particle is an identifiable part of dust, a molecule, an atom, or an electron.  This means that particles form these elements.

Step-by-step explanation:

For example, atoms are made up of three particles: protons, neutrons and electrons.  These particles are each composed of even smaller particles known as quarks.  Since quarks cannot be broken down further, they are the smallest particles known to mankind.

Don't get this can someone help

Answers

To combine two fractions into one fraction if they are being added / subtracted from each other, make it so they share the same denominator.  To do this, one way is to make [tex]\frac{1}{3}[/tex] have denominator [tex]3t[/tex], so multiply the top and bottom of the fraction by [tex]t[/tex]:

[tex]\frac{t+2}{3t} - \frac{t}{3t}[/tex]

and now you can just subtract the numerator.

[tex]= \frac{t+2 - t}{3t} = \frac{2}{3t}[/tex]

Which situation best fits the following inequality? 40 ≥ ≥ 6.5x - 14

Answers

40+40+40

6.80÷2

and if you do this

you will end up

getting your answers

graph the line by plotting any two ordered pairs with integer value coordinates that satisfy the equation y=−3x

Answers

The graph of the line is shown below

Graph of a Linear equation

From the question, we are to determine the graph of the line by plotting any two ordered pairs

First, we will find two ordered pairs on the line

y = -3x

When x = 1

y = -3x

y = -3(1)

y = -3

(1, -3)

When x = 2

y = -3x

y = -3(2)

y = -6

(2, -6)

Using the ordered pairs, the graph of the line is shown below

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[tex]\sqrt{18} is between which two whole numbers[/tex]

Answers

You need to find which two perfect squares is the sqrt{18} between.

sqrt{16} is a perfect square = 4

sqrt{25} is a perfect square = 5.

We conclude the sqrt{18} lies between the sqrt{16} and sqrt{25}.

Type the correct answer in each box.
Elena has 32 hair ties. Melanie has 8 hair ties.
The ratio of Elena’s hair ties to Melanie’s hair ties is
: 1. If, Melanie gets 4 more hair ties, the new ratio of Elena’s hair ties to Melanie’s hair ties is 8 :
.

Answers

Answer step by step explanation:

The ratio of Elena's hair ties to Melanie At first is 32/8 divide by eight is 4:1

The new hair ties after Melanie gets 4 is 12 ,so the new ratio of Elena's hair ties to Melanie that is 32/12 divided by four will be 8:3

I need help finding an eqaution for this.

Answers

Answer:

x>7

Step-by-step explanation:

Answer

7 is less than x

Triangles XYZ and EFG are given and ΔXYZ≅ΔEFG by SAS. If YZ=2n−5, YX=2n−1, EG=n+8, and FG=n+5, then which of the following statements is true.

Answers

Answer:

ZY = 15

Step-by-step explanation:

ZY is congruent to GF, so you set the equation up as

2n-5 = n+5

   +5      +5

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

2n = n+10

-n     -n

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

n = 10

After you get n, you plug it in to 2n-5 (ZY)

2(10)-5

20-5

15

ZY=15

11. Jim travelled at a speed of 18km/h for 2 hours. What was the distance covered?​

Answers

Answer:

d = 36 km

Step-by-step explanation:

Speed of Jim, v = 18 km/h

Time, t = 2 hours

We need to find the distance covered. We know that the speed of an object is equal to the distance covered by it divided by total time taken.

[tex]v=\dfrac{d}{t}\\\\d=v\times t\\\\d=18\ km/h\times 2\ h\\\\=36\ km[/tex]

So, he will cover 36 km.

which of the following inequalities matches the graph?​

Answers

The correct answer is b, x < -3.
Since the area shaded is left of x = -3, x has to be less than -3.

A toy store purchases Jedi lightsabers from the manufacturer for $18. The manager decides to mark up the price by of the original. What is the new markup price?

Answers

Answer:

hehe

Step-by-step explanation:

help me pls big points

Answers

Answer:

the answer should be 18.5

I believe it’s 6.1, actually 6.09 but you round

Using the table of Motor Vehicle Deaths given below, find the Motor Vehicle Deaths per capita for Ohio

as a decimal correctly rounded to 8 places

Express the value typed in 'part a' in scientific notation. (Do not round.)

Type your answer as though you were typing it into your calculator--either with "E" or "x10^" notation-- no spaces in your answer!

State MV Deaths Population
Indiana 693 6 million
Illinois 911 12.4 million
Ohio 1021 11.35 million
Michigan 871 9.9 million
Alaska 64 0.63 million

Answers

In scientific notation, the Motor Vehicle Deaths per capita for Ohio is 8.996 x 10⁻⁵.

What is scientific notation?

Scientific notation, or the power-of-10 notation, is a mathematical system for expressing huge and small numbers so that they look simple.

A scientific notation of the number 'n' is expressed as a∗10^b. where 'a' is an integer such that 1 ≤ |a| <10. B is an integer that takes positive or negative values.

Data and Calculations:

State         MV Deaths    Population

Indiana         693               6 million

Illinois            911              12.4 million

Ohio            1021               11.35 million

Michigan      871                9.9 million

Alaska           64               0.63 million

Motor Vehicle Deathers per capita for Ohio = 1,021/11,350,000

= 0.00008995594

= 0.00008996

= 8.996 x 10⁻⁵

Thus, the scientific notation of the Motor Vehicle Deaths per capita for Ohio is 8.996 x 10⁻⁵.

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Is 0.46 terminating number

Answers

Answer:

Yes because the decimal doesn't go on forever

Answer:

Yes

Step-by-step explanation:

0.46 is a terminating number because it has a finite number of decimal digits. Hence the name terminating, there is a terminated or ending to the decimal.

CAN YOU HELP ME WOTH GEOMETRY! It's due TONIGHT!

Answers

Answer:

look down below

Step-by-step explanation:

We know that AB = DC, and BC = AD, ∠B = ∠D because they are given

So, ΔABC ≅ ΔCDA because of SAS congruency

Triangle ABC is isosceles.

Triangle A B C is shown. The lengths of sides A C and A B are congruent.

What is true about the measure of angle B?

It is twice the measure of angle A.
It is twice the measure of angle C.
It is equal to the measure of angle A.
It is equal to the measure of angle C.

Answers

Answer:

it is equal to the measure of angle C

Answer: D. it is equal to the measure of angle C.

Step-by-step explanation:

Can someone tell me what d is

Answers

Answer:

57/ 6 or if you want to simplify it it could be 19/2

If x2 = 50, what is the value of x
Matemáticas

Answers

Answer:

x=25

Step-by-step explanation:

Dave and Frank are graduating and are no longer going to be roommates, but they both want to keep the dog they adopted. Using the Method of Sealed Bids, Dave bids $364 and Frank bids $568 for the dog. Since Frank's bid is higher, he gets the dog. How much will he have to pay Dave in order to keep the division fair?

Answers

The amount that Frank will pay Dave in order to keep the division fair will be $233.

How to illustrate the information?

From the information, they both want to keep the dog they adopted and Dave bids $364 and Frank bids $568 for the dog.

It should be noted that the division for fair value will be:

= Number of item / Number of parties

Dave = 364 / 2 = 182

Frank = 568 / 2 = 284

Therefore, the amount that Frank will pay Dave in order to keep the division fair will be:

= (182 + 284) / 2

= 466 / 2

= $233

Therefore, the amount that Frank will pay Dave in order to keep the division fair will be $233.

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match each equation with a value of x that satisfies it
options are:
5 , 9 , 18, 2, 1, -3

(x-2)^1/4=2 --->___

√x^2+7=4. --->___

^3√1-x=-1. --->___

Answers

Answer:

(x-2)^1/4=2 ---> 18

√x^2+7=4. ---> -3

^3√1-x=-1. ---> 2

Step-by-step explanation:

just did it on plato

The numerical expression [tex]\rm (x - 2)^{1/4} = 1[/tex], √x² + 7 = 4, and ∛(1 - x) = -1 are correctly matched with 18, -3, and 2.

What is simplification?

Simplification is to make something easier to do or understand and to make something less complicated.

The expressions are given below.

[tex]\rm (x - 2)^{1/4} = 1[/tex], √x² + 7 = 4, and ∛(1 - x) = -1

Then By simplification, we have

x - 2 = 2⁴

    x = 16 + 2

    x = 18

√x² + 7 = 4

x + 7 = 4

x = -3

∛(1 - x) = -1

    1 - x = -1³

        x = 2

The numerical expression [tex]\rm (x - 2)^{1/4} = 1[/tex], √x² + 7 = 4, and ∛(1 - x) = -1 are correctly matched with 18, -3, and 2.

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NEED HELP!! WILL MARK BRAINLIEST

Answers

Answer:

C

Step-by-step explanation:

A function will not have two points that can be crossed through with a vertical line.

Jessica is hiring a plumber to remodel her bathroom

Answers

Answer: 1st choice and last choice

Step-by-step explanation:

just did all the math. If not right sorry plz mark brainlest have a great day!

please solve for j: j+17=8

Answers

Answer:

-9

Step-by-step explanation:

8-17=-9

Answer: -9

Check: -9 + 17 = 8 (Check)

I hope this helps, and Happy Holidays! :)

- Trace has 453 trading cards,
He puts an equal
number of cards into
А
each of 3 books,
Part A
Write an equation to show the
cards Trace put in each book

Answers

What is the least common denominator used to add the fractions 1/32 and 3/24
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