Problem #15: A box contains 4 black balls, 7 red balls, and 3 green balls. Three balls are
drawn (without replacement). Find the probability that the balls drawn are red, green,
and black in that order.

Answers

Answer 1

The probability that the balls drawn are red, green, and black in that order will be 3/78.

What will the probability be?

Probability is the occurence of likely events. It is the area of mathematics that deals with numerical estimates of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1.

The box contains 4 black balls, 7 red balls, and 3 green balls. The total number will be:

= 4 + 7 + 3

= 14 balls.

The probability that the balls drawn are red, green, and black in that order will be:

= P(red) × P(green) × P(black)

= 7/14 × 3/13 × 4/12

= 1/2 × 3/13 × 1/3

= 3/78

The probability is 3/78.

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Related Questions

A company claims that their new bottle holds 40% more laundry soap.
If their original container held 53 fluid ounces of soap, how much does the new container hold?
plz show work too plz

Answers

Answer:

74.2

Step-by-step explanation:

53 x .4 = 21.2

21.2 + 53 = 74.2

A recipe requires 1/3 cup of water for every 2/5 cups of sugar. How much
sugar would you need for a full cup of water?

Answers

Answer:

1 1/5

Step-by-step explanation:

HELP PLEASE TAKING A TEST RIGHT NOW
the graph shows a system of equations
what is the solution to the system of equations?
a. -3, 2
b. 3, -2
c. 3, 2
d. -3, -2

Answers

The correct answer is C

The answer is where the lines internet which are the coordinates 3, 2. So it’s C.

A jeans maker is designing a new line of jeans. These jeans will sell for $410 per unit and cost $328 per unit in variable costs to make. Fixed costs total $120,000. If 5,000 units are produced and sold, income equals:

Answers

Answer:

$290,000

Step-by-step explanation:

Total cost = total variable cost + fixed cost

= 5000×328 + 120000

= 1640000+120000

=1760000 $

The jeans maker earns in total = 5000 × 410

= 2050000 $

So the income is

= 2050000 – 1760000 = 290000 $ ( Answer)

If the number of units is 5,000. Then the income will be $290,000.

What is a function?

A function is an assertion, concept, or principle that establishes an association between two variables. Functions may be found throughout mathematics and are essential for the development of significant links.

A pants producer is planning another line of pants. These pants will sell for $410 per unit and cost $328 per unit in factor expenses to make. Fixed costs complete $120,000.

Let 'x' be the number of units. Then the equation is given as,

Income = Selling cost - Variable cost - Fixed cost

Income = $410 x - $328 x - $120,000

Income = $82 x - $120,000

If the number of units is 5,000. Then the income is calculated as,

Income = $82 (5,000) - $120,000

Income = $410,000 - $120,000

Income = $290,000

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What is the sum of 6/7 and 1/2?

Answers

Answer: [tex]\frac{19}{14}[/tex] in improper form and [tex]1\frac{5}{14}[/tex] in mixed fraction form.

Step-by-step explanation: [tex]\frac{6}{7}[/tex] + [tex]\frac{1}{2}[/tex] = ? First you have to find the LCM (Least Common Multiple) of 7 and 2; also known as the LCD (Least Common Denominator). The LCM of 7 and 2 is 14 so you have to multiply both of the fractions by the number that equals 14, remember to multiply it for the numerator too. [tex]\frac{6}{7}[/tex] x [tex]\frac{2}{2}[/tex] = [tex]\frac{12}{14}[/tex] Then [tex]\frac{1}{2}[/tex] x [tex]\frac{7}{7}[/tex] = [tex]\frac{7}{14}[/tex] Now you add [tex]\frac{12}{14}[/tex] and [tex]\frac{7}{14}[/tex] together. You leave the denominator as 14 because you found the LCD of 7 and 2 already, so you add 12 and 7 together which gives you 19. The answer would be [tex]\frac{19}{14}[/tex] in improper fraction form and [tex]1\frac{5}{14}[/tex] in mixed fraction form.

The sum of the fraction 6/7 and 1/2 is 19/14

How to add fractions

Given:

sum of 6/7 and 1/2

Sum means addition(+)

= 6/7 + 1/2

The least common denominator is 7 × 2 = 14

= 6/7 + 1/2

= (12+7) / 14

= 19/14

Therefore, the sum of 6/7 and 1/2 is 19/14

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Camden has a loyalty card good for a 17% discount at his local hardware store. What number should he multiply the prices on the tags by to find the price he would have to pay, before tax, in one step?

Answers

Answer:

0.83

Step-by-step explanation:

Let the price is x.

With 17% discount it becomes:

x - 17% of x =x - 0.17x = 0.83x

The number we need is 0.83

Solution,

Assume That The Price is x

When Will Put It in Equation,

[tex] \frak{ \bigstar}{ \rm{ {We \: Will \: Get,}}}[/tex]

[tex]{ \longmapsto{ \sf{x-17 \% \: of x =}}}[/tex][tex]{ \longmapsto { \sf{x-0.17x}}}[/tex]0.83

Hence, Required Price is 0.83

-10-9-8-7 -6 -5 -4 -3
-2.1
0
1 2 3 4 5
6
7 8 9 10
3) Which inequality matches the graph?
A) X > .2
B) X <-2
C) x = -2
D) 3.2

Answers

Answer:

I think its D

Step-by-step explanation:

The dot starts on -2 and decreases so the answer would = -2 or be less than -2 :)

A rectangular swimming pool is 4 ft deep. One side of the pool is 4.5 times longer than the other. The amount of water needed to fill the swimming pool is 1800 cubic feet.
Find the dimensions of the pool.

Answers

Answer:

19 x 23.5 x 4

Step-by-step explanation:

4 * x * (x + 4.5) =1800

Divide both sides by 4

x * (x + 4.5) = 450

Use distributive property

x^2 + 4.5x = 450

Move all terms to one side

x^2 + 4.5x - 450 = 0

Use quadratic formula to solve   a = 1, b = 4.5, c = -450

-4.5 +- [tex]\sqrt{4.5^2 - 4 * 1 * -450}[/tex]/2

=-4.5 + - [tex]\sqrt{1820.25}[/tex] / 2

= -4.5 +- 42.664 / 2

=19.08 and -23.582. You can't have a negative length, so it is 19.08, or 19

19 x 23.5 x 4

a person pays a loan of Rs. 3900 in monthly installments each in installment being less than the former by Rs. 20 ,the amount of first is Rs.400 in how many installment will entire amount be paid ? give reason​

Answers

Answer:

15 installments

Step-by-step explanation:

3900 = Σ [tex]\left \ {{x=n} \atop {x=1}} \right.[/tex]   400 - 20*(n - 1)

Helppppopleaseee????

Answers

Answer:

LQ = 5

Median = 6

Step-by-step explanation:

[tex]\frac{n+1}{2}[/tex] gives us 5.5, so we do the average of position 5 and 6. This gives us 6, so the median is 6.

Now we find the median of the bottom half of the numbers, which is 5, so the LQ is 5.

Now we find the median of the upper half of the numbers, which is 7, so the UQ is 7.

identify a potential sustainable agriculture practice to reduce the impact of the large-scale intensive agriculture on

Answers

Answer:

Focus on planting trees and and getting healthier soil, improve energy efficiency and not use so much pesticides using natural ways to plant things.

Step-by-step explanation:

What is 14ab+10a written in factored form?

Answers

Answer:

2a(7b+5)

Step-by-step explanation:

yeah-ya....... right?

divide both sides by 2a
2a(7b+5)

What number group includes only the counting number and 0

Answers

Answer:

Integers

The set of numbers including all the whole numbers and their opposites (the positive whole numbers, the negative whole numbers, and zero)

PLEASE HELP ILL GIVE BRAINLIESTTTT

Answers

Answer:

about 5.1 units

Step-by-step explanation:

to find the length between two points you can use the pythaogorean theorem

5^2 + 1^2 = c^2

25 + 1 = c^2

26 = c^2

c is about 5.09901

rounding to the nearest tenth we get 5.1

(6y^3) - 42y= -4y^3

please helpp

Answers

Answer:

i have no clue

Step-by-step explanation:

i said this bc apparently i have to help someone to get help and i just wanna finish this math homework lol

I NEED HELP ON QUESTION B AND C ASAP.

Answers

Answer:

See below

Step-by-step explanation:

Part B

Assumed the dimensions of the top and bottom parts are identical.

Since the cylindrical part has total height of 1.8 cm and the hemisphere volume is transferred to bottom part and the cone part is still full, the value of h is the difference of the total height of cylinder and full part of the top section of cylinder:

h = 1.8 cm - 0.3 cm = 1.5 cmPart C

Find the volume of sand in the bottom part. It consists of a hemisphere and a cylinder of 1.5 cm height.

V(cylinder) = πr²h = 3.14*(2.6/2)²*1.5 ≈ 7.96 cm³V(hemisphere) = 2/3πr³ = 2/3*3.14*(2.6/2)³ ≈ 4.6 cm³

Total sand in the bottom part:

7.96 + 4.6 = 12.56 cm³

Time taken:

12.56 / 0.05 = 251.2 seconds = 4 min 11.2 seconds

Two tanks hold a total of 61 gallons of a toxic solvent. One tank holds 4 gallons more than twice the amount in the other. How many gallons does each tank hold?

Answers

Answer:

tank 1 : 19 gallons

tank 2 : 42 gallons

Step-by-step explanation:

tank 1 : x

tank 2 : 2x+4 ( 4 more than twice the other )

x + ( 2x + 4 ) = 61

3x + 4 = 61 [ add x + 2x = 3x ]

3x = 57 [ subtract 4 on both sides ]

x = 19 [divide 3 on both sides ]

tank 1 : 19 gallons

tank 2 : 42 gallons

On a number line, where would
7/10 be located? Choose all answers that make
a true statement.

Answers

Your answer will drum roll please: D

Answer:

Step-by-step explanation:

Find the exact value of tan π/12.

Answers

[tex]\textit{Half-Angle Identities}\qquad tan\left(\cfrac{\theta}{2}\right)= \begin{cases} \pm \sqrt{\cfrac{1-cos(\theta)}{1+cos(\theta)}} \\\\ \cfrac{sin(\theta)}{1+cos(\theta)}~~\leftarrow \textit{let's use this one} \\\\ \cfrac{1-cos(\theta)}{sin(\theta)} \end{cases} \\\\\\ 2\cdot \cfrac{\pi }{12}\implies \cfrac{\pi }{6}~\hspace{10em} \cfrac{~~ \frac{\pi }{6}~~}{2}\implies \cfrac{\pi }{6}\cdot \cfrac{1}{2}\implies \cfrac{\pi }{12}[/tex]

so let's use the double of the angle in the half-angle identities, check the picture below for the cosine, sine pairs

[tex]tan\left( \cfrac{~~ \frac{\pi }{6}~~}{2} \right)=\cfrac{sin\left( \frac{\pi }{6} \right)}{1+cos\left( \frac{\pi }{6} \right)}\implies tan\left( \cfrac{~~ \frac{\pi }{6}~~}{2} \right)=\cfrac{~~ \frac{1}{2}~~}{1+\frac{\sqrt{3}}{2}}[/tex]

[tex]tan\left( \cfrac{~~ \frac{\pi }{6}~~}{2} \right)=\cfrac{~~ \frac{1}{2}~~}{~~\frac{2+\sqrt{3}}{2}~~}\implies tan\left( \cfrac{~~ \frac{\pi }{6}~~}{2} \right)=\cfrac{1}{2}\cdot \cfrac{2}{2+\sqrt{3}} \\\\[-0.35em] ~\dotfill\\\\ ~\hfill tan\left( \cfrac{~~ \frac{\pi }{6}~~}{2} \right)=\cfrac{1}{2+\sqrt{3}}~\hfill[/tex]

What is the volume of the irregular figure?

Answers

Answer:

the answer u r looking for is 144

Step-by-step explanation:

if u know who this is i will follow u

hint: its from avatar tla

only the first person that answers!!!

Given that
P
=
x
+
y
.
Find
P
when:
x
=
3
and
y
=

11

Answers

Answer:

P=14

Step-by-step explanation:

Since P depends on two variables x and y as the sum of the two, then;

P = 3+ 11

P = 14

Help, im incredibly confused

Answers

[tex]f[/tex](x) = 0.20x + 35 : 29.5

71.841 to the nearest tenth

Answers

Answer:

71.8

Step-by-step explanation:

71.841:

The 4 represents the number that we'll be looking at since 4 is the next position to the right of 8, 8 is in the Tenths place. 4 is in the Hundredths place, and 4 will be the only number that could round up the 8.

How?

In order to round, we need to remember how to round numbers:

If the digit is less than 5, the number to the left stays the same.If the digit is greater than, or equal to 5, the number to the left rounds up, or increases by 1.

Solve:

First, 4<5, meaning that 4 is less than 5.

#1 above is stating that the number to the left of 4 stays the same.

If we use that rule:

71.8 is our answer.

Mrs. Traynor's class is taking a field trip to the zoo. The trip will cost $26 for each student. There are 22 students in her class. Use compatible numbers to estimate the total cost of the field trip.

Answers

Answer:

$572

Step-by-step explanation:

Since she has to pay $26 for her 22 students, you need to multiply to find the answer$26 * 22 = 572Therefore, she has to pay $572

y
is directly proportional to
x
2
.
If
y
=
8
when
x
=
2
find
y
when
x
=
3

Answers

Answer:

y = 18 when x = 3

Step-by-step explanation:

y is directly proportional to x^2, meaning:

[tex]y=ax^2[/tex]

where a is the proportion between them. We're given the values for both x and y, so plug those in and solve for a:

[tex]8=a(2)^2\\8=a4\\2=a\\a=2[/tex]

Now you can use a to solve for y when x is 3:

[tex]y=ax^2\\y=(2)(3)^2\\y=2(9)\\y=18[/tex]

Netan surveyed 460 teenagers to find out their favorite type of movie. He found that 45% of the teenagers surveyed like comedies.

Part A: How many teenagers surveyed like comedies? Show your work. (4 points)

Part B: In another survey, Hannah found that 50% of the total number of teenagers surveyed like thrillers. If 40 teenagers like thrillers, what is the total number of teenagers that Hannah surveyed? Show your work. (4 points)

Part C: Give an example of a situation in which a percentage is greater than 100%. (2 points)

Question 3 options:

Answers

Answer with step-by-step explanation:

A: 207

We know that percentage is out of 100, so we can divide 460 by 100 to find 1%, which is 4.6. We also know 45% percent of teenagers like comedies, so we multiply 4.6 by 45, or 207. 207 teenagers like comedies.

B. 80 teenagers

We know that 50% of teens Hannah surveyed like thrillers. We also know that 40 teenagers like thrillers. Using multiplication, we can multiply 40 by 2, since 50% is half, we need to multiply by 2 to get the total number of teenagers. Hannah surveyed 80 teenagers.

C. Jamie went to the candy store and spent his entire allowance of $20 on candy. His friends gave him $5 more dollars, so he bought candy with that too. He spent 125% of his allowance on candy.

The number of teenagers who like comedy is 207, and The total number of teenagers Hannah surveyed is 100.

What is percentage?

A percentage, often known as percent, is a division by 100. Percentage, which means "per 100," designates a portion of a total sum. 45 out of 100 is represented by 45%, for instance. Finding the percentage of a whole in terms of 100 is what percentage calculation is. Both manual calculation and the use of internet calculators are options.

Given:

Netan surveyed 460 teenagers, He found that 45% of the teenagers surveyed like comedies,

(a) Calculate the number of teenagers who like comedy as shown below,

The number of teenagers who like comedy = 45 × 460 / 100

The number of teenagers who like comedy = 207

(b) Calculate the total number of teenagers as shown below,

The total number of teenagers × 50% = 40

The total number of teenagers = 40 × 100 / 40

The total number of teenagers = 100

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Solve for x. 3x+11=9x-14

Answers

Answer:

x=25/6

Step-by-step explanation:

3x+11=9x-14

11=6x-14

25=6x

x=25/6

Answer:

[tex]x=\cfrac{25}{6}[/tex]

or

[tex]x=4.16[/tex]

Step-by-step explanation:

[tex]3x+11=9x-14[/tex]

[tex]3x+11-11=9x-14-11[/tex]

[tex]3x=9x-25[/tex]

[tex]3x-9x=9x-25-9x[/tex]

[tex]-6x=-25[/tex]

[tex]\cfrac{-6x}{-6}=\cfrac{-25}{-6}[/tex]

[tex]x=\cfrac{25}{6}[/tex]

Have a good day!

can anyone slove this question pls ​

Answers

we have: -10/4 = -2.5 ⇒ -2 > -2.5 > -3

ANSWER : -2 and -3

ok done. Thank to me :>

PLEASE HELP WILL MARK BRAINIEST!!!!!

Answers

Answer:

c. copy an angle.

there's no angle in this as far as I can see.

We figure 25 people will attend if it rains and 70 people will attend if it does not rain. The weather forecast indicates that there is a 20% chance of rain that day. What is the expected number of people who will attend the party?

Answers

Answer:

34

Step-by-step explanation:

20% of 70 + 80% of 25 = 14 + 20 = 34.

Answer:

61

Step-by-step explanation:

Assuming a linear relationship between the percent chance for rain and the number of attendees, the number is 20% of the way from 70 (0% chance) to 25 (100% chance).

The expected number of people with a 20% chance of rain would be 61.

(hope it helps)

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A science test, which is worth 100 points, consists of 24 questions. Each question is worth either 3 points or 5 points. If x is the number of 3-point questions and y is the number of 5-point questions, the system shown represents this situation. x + y = 24 3x + 5y = 100 What does the solution of this system indicate about the questions on the test? The test contains 4 three-point questions and 20 five-point questions. The test contains 10 three-point questions and 14 five-point questions. The test contains 14 three-point questions and 10 five-point questions. The test contains 20 three-point questions and 8 five-point questions. manish ko jiban ma kasta samasya haru aipardaxa 4. What is the leading critique of the electoral college? 2.7 Persepolis Define the following terms in regards to graphic novel what is 7/8 x 4 ? ( 7/8 is a fraction) Dawn walks into a customer's office with her sales presentation planned and immediately recognizes that the customer is upset about something. In this situation, Dawn should Dawn walks into a customer's office with her sales presentation planned and immediately recognizes that the customer is upset about something. In this situation, Dawn should: a. maintain a happy and cheerful demeanor. b. sit down immediately and begin the presentation. c. All of the answers are correct. d. say something funny in an attempt to lighten the customer's mood. e. ask if she should come back some other time for the meeting. Describe what a continent is Learners with a _____ learning style prefer reading, writing, and speaking. naturalistic logical/mathematical verbal/linguistic none of the above Why doesn't the skater ever regain his potential energy? How is the New Mexico Bill of Rights different from the US Bill of Rights? What part of the microscope give us a sharper image?amicro or fine focusmacro focuslight sourceon/off button Help help pelsss I need to pass thanks Ill give points for honestly Who were the critics of the First New Deal, and what were their criticisms? Which is correct? I wanna make sure im right In the equation 9.55 1.10 = 10.505, what are the factors? A. 9.55 and 10.505 C. 9.55 and 10.505 B. 1.10 and 10.505 D. 9.55 and 1.10 Help me out please??? A planet has a circular orbit around a star. It is a distance of 65,000,000 km from the centre of the star. It orbits at an average speed of 65,000 km/h. How many Earth days does it take the planet to orbit the star? Give your answer to 2 sf. -8 Find the slope of the line y = -8/2x+1/5 Simplify your answer and write it as a proper fraction, improper fraction, or integer. What is the solution to the system of equations? y = -2x 6 4x - y = -36A (15, 24) B (-7, 8)C (-5, 4) what can you conclude about gregor mendel from the information presented in the movie?