A bucket contains 40 red balls, 25 black balls, and 35 white balls. Two balls are drawn at random. What is the probability that the two balls are black and red?

Answers

Answer 1

Answer:

[tex]Probability = \frac{1}{5}[/tex] or [tex]Probability = 0.2[/tex]

Step-by-step explanation:

Given

[tex]Black = 25[/tex]

[tex]White = 35[/tex]

[tex]Red = 40[/tex]

Required

Determine the probability of selecting Black and Red

First, we need to calculate the number of red and black balls

The probability is calculated as thus:

[tex]Probability = P(Black\ and \ Red) \ or\ P(Red\ and \ Black)[/tex]

Convert to mathematical expressions

[tex]Probability = [P(Black) *P(Red)] + [P(Red) *P(Black)][/tex]

Solve for each probaility;

[tex]P(Black) = \frac{Black}{Total} = \frac{25}{100}[/tex]

[tex]P(Red) = \frac{Red}{Total} = \frac{40}{100}[/tex]

So, we have:

[tex]Probability = [P(Black) *P(Red)] + [P(Red) *P(Black)][/tex][tex]Probability = [\frac{25}{100} *\frac{40}{100}] + [\frac{40}{100} *\frac{25}{100}][/tex]

[tex]Probability = [\frac{1000}{10000}] + [\frac{1000}{10000}][/tex]

[tex]Probability = [\frac{1}{10}] + [\frac{1}{10}][/tex]

[tex]Probability = \frac{1+1}{10}[/tex]

[tex]Probability = \frac{2}{10}[/tex]

[tex]Probability = \frac{1}{5}[/tex]

or

[tex]Probability = 0.2[/tex]


Related Questions

Which is the graph of the linear inequalityx2y>-6?

Answers

Answer:

We will graph the inequality in simplified form i.e [tex]y>-3[/tex]

The graph is shown in figure below

Step-by-step explanation:

Which is the graph of the linear inequality [tex]2y>-6[/tex]

(Note: Considering the inequality is 2y>-6 and x is typing mistake.)

First we will solve the inequality to find value of y

We have inequality:

[tex]2y>-6[/tex]

For finding y we have to divide both sides of inequality by 2

[tex]\frac{2y}{2}>\frac{-6}{2} \\y>-3[/tex]

Now, we will graph the inequality in simplified form i.e [tex]y>-3[/tex]

Inequality can be graphed on number line as well as graph paper.

Graph on number line

Since y is greater than -3, so all values greater than -3 will be included on the number line. An open circle will be drawn on -3, indicating -3 is not included but values greater than -3 are included. The figure A shows the graph

Graph on Graph paper

Since y is greater than -3, so all values greater than -3 will be included on the number line. A dotted line will appear on -3 and the region on right side of -3 (values greater than 3) will be shaded. The figure B shows the graph

find x. please help

Answers

Answer: 29

Step-by-step explanation: 180-146= 34-5 29.

Answer:

[A] 29

Explanation:

Equation: 180 = 146 + (x + 5)

The line adds up to 180, so we need to find what x is

180 = 146 + (x + 5)

Switch Sides

146 + (x + 5) = 180

Remove Parenthesis

146 + x + 5 = 180

Group Like Terms

x + 146 + 5 = 180

Add: 146 + 5 = 151

x + 151 = 180

Subtract 151 From Each Side Of Equation

x + 151 - 151 = 180 - 151

x = 29

1) The probability that an individual is left-handed is 12%. In a randomly selected class of 30 students, what is the probability of finding exactly 4 left-handed students?
2) Sixty-five percent of men consider themselves knowledgeable football fans. If 10 men are randomly selected, find the probability that exactly six of them will consider themselves knowledgeable fans.

Answers

Answer:

0.2047

0.2377

Step-by-step explanation:

1.

What we have here is a binomial distribution

Probability p = 0.12

N = number of students in the class = 30

Probability of finding 4 left handers

P(x = 4) = 30C4 x (0.12)⁴ x (0.88)²⁶

= 27405 x 0.00020736 x 0.03602047835

= 0.2047

2.

This is also a binomial distribution

N = 10 p = 0.65

P(of 6 knowledgeable fans)

= 10C6 x (0.65)⁶ x (0.35)⁴

= 210 x 0.0754189 x 0.01500625

= 0.2377

A math class surveyed students about their musical preferences an recorded the results in the table. Use tha data wtite a ratio for each comparison in three differents ways.

A) Students who preferer classical to students who prefer echno.


B) Students who prefer hip-hop to total number of students survyed



Table



Music Number .........Students


Rock .................................10


Classical........................... 4


Techno ............................12


Hip-Hop.......................... 15


Contry.............................. 8


Alternative...................... 4


Total Students.............53

Help Please

Answers

a) 1/3 2/6 4/12

b) 15/53 30/106 60/212

I NEED THE ANSWER ASAP PLZ!!!!!!

Answers

Answer:

its D trust me okkkkkkk

I think its A

I wouldn't go with i say tho

Write an equation of the line that passes through (1, -8) and is parallel to the line y = -3x - 7

Answers

Answer:

the desired new equation is y = -3x - 5

Step-by-step explanation:

The desired equation of this new (parallel) line has exactly the same form as the given line y = -3x - 7.  Only the y-intercept will be different.  

Starting with y = -3x - 7, replace x with the x-coordinate of the given point (1, -8) and y with the y-coordinate.  We get:

-8 = -3(1) + C, where C is the new y-intercept and is to be determined.

Then C = -5, and the desired new equation is y = -3x - 5.

PLZ HELP if u know the answer​

Answers

Answer: Library is (2, 5) Park is (2, -3) The answer is 5 and 3

Step-by-step explanation: Hope it helped! :)

What is the equation of the line –3x–2y=30 in slope-intercept form?



Enter your answer in the box.

Answers

Answer:

y = - 1.5x - 15

Step-by-step explanation:

Step 1:

- 3x - 2y = 30         Equation

Step 2:

- 2y = 3x + 30        Add 3x on both sides

Step 3:

y = - 1.5x - 15      Divide 2 on both sides

Answer:

y = - 1.5x - 15

Hope This Helps :)

Answer:   y = - 1.5x - 15

Step-by-step explanation:

First, we will add 3x to both sides of the equation.

-2y = 3x + 30

Next, we will divide 2 on both sides of the equation.

y = -1.5x - 15

Answer -  y = -1.5x - 15

Question 6 (2 points)
Find the inverse of y= 4x+8
y= 4x+2
y = (1/4) X-2
o a
y=4X-2

Answers

to inverse a equation make all y's x and andy x's y

Thus the inverse is

x=4y-8

Evaluated to

4y=x+8

y=

15 PTS!!!!!!!!!!!!

What is the product of -2/7 and -3/7?

Answers

Answer:

6/49

Step-by-step explanation:

-2 times -3 is 6, and 7 times 7 is 49. therefore, the answer is 6/49.

What is the end behavior of the polynomial function? (the oo are infinity signs lol)

A. As x --> -oo, y --> 5
B. As x --> oo, y --> oo
C. As x --> oo, y --> 7
D. As x --> -oo, y --> -oo

Answers

Answer:

D

Step-by-step explanation:

When it's talking about going to the infinity, negative or positive, it just means when the line is going down with no end on the graph (in regards to y because that would be a vertical amount aka up and down). When it's in regards to x, it's the same concept except if it's negative infinity for x, it's on the left side. And if it's positive infinity for x, it's on the right side.

Answer:

D

Step-by-step explanation:

Tell whether the relation is a function. Explain

Answers

This relationship is a function because each input has its own output is that makes sense

11 fewer than a number b

Answers

Answer:

b-11

Step-by-step explanation:

is that what the question is asking for?

Um how do you solve for x?

Answers

Answer:

If you have an equation like "x - 5 = 20" rewrite the equation as x = 20 + 5 and solve for x, which 20 + 5 is 25.

13. Solve 2/3 + 5/6 and put answer in simplest
form.
O A. 11/2
B.
c. 76
D.776

Answers

Answer:

3/2 or 1 + 1/2

i havent done fractions in a long time but this is what i got from memory

you turn the 2/3 into 4/6 so they can easily be added together to get 9/6 which can be simplified to 3/2 or in proper form 1 + 1/2

which could be the name of a plane?

Answers

Answer: where are the options?

Step-by-step explanation:

Answer:

There is not enough information presented to give an answer

Step-by-step explanation:

If you add more information, I will try and answer it for you

What is the answer to the following?
1. 8/9 divide by 2/3

2. 4 divided by 3/4

3. 2 1/2 divided by 3/4

4. 4/9 divided by 5 1/3

5. 7/8 divided by 14

Answers

i would go with either a or b

Graph the function. ( Look at the picture for the problem and graph. Need help and please only answer if you know the right answer. Show work on paper. Will Mark Brainliest ​

Answers

Answer:

there is a website called desmos and you can type all of that in and it can graph it, hope that helps(: and its free

Which of these angles can replace x in tan (x)?

A. □

B. None of these angles are correct.

C. φ

D. θ

Answers

Answer:

C. φ

Step-by-step explanation:

[tex]tan \phi \: = \frac{6}{5} \\ \\ tan x \: = \frac{6}{5} \\ \implies \: x = \phi[/tex]

Thus [tex] \Phi [/tex] can replace x

Solve the equation.
- w - 2 = 42

Answers

Answer:

w = -44

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Step-by-step explanation:

Step 1: Define Equation

-w - 2 = 42

Step 2: Solve for w

Add 2 to both sides:                    -w = 44Divide -1 on both sides:               w = -44

Step 3: Check

Plug in w into the original equation to verify it's a solution.

Substitute in w:                    -(-44) - 2 = 42Multiply:                                44 - 2 = 42Subtract:                               42 = 42

Here we see that 42 does indeed equal 42.

∴ w = -44 is the solution to the equation.

Answer: w=-44

Good luck :)

the ratio of the measures of the angles of a triangle is 1:2:3 find the measures of each angle​

Answers

Given:

The ratio of the measures of the angles of a triangle is 1:2:3.

To find:

The measures of each angle​.

Solution:

Let the measure of angles be x, 2x and 3x respectively.

We know that, sum of all the interior angles of a triangle is 180 degrees by the angle sum property.

Using angle sum property, we get

[tex]x+2x+3x=180^\circ[/tex]

[tex]6x=180^\circ[/tex]

Divide both sides by 6.

[tex]x=\dfrac{180^\circ}{6}[/tex]

[tex]x=30^\circ[/tex]

Now,

First angle: [tex]30^\circ[/tex]

Second angle: [tex]2(30^\circ)=60^\circ[/tex]

Third angle: [tex]3(30^\circ)=90^\circ[/tex]

Therefore, the measure of all the angles are 30°, 60° and 90° respectively.

Express 12^1/4 in simplest radical form

Answers

Answer:

I think its √12 = 3.464

Step-by-step explanation:

sorry if I'm wrong I hope y'all do great though

what is 8x+6 simplified?

Answers

Answer:

4x+3

Step-by-step explanation:

8 and 6 are multiple of 2 so divide 8 /2 = 4 and divide 6/2=3


PLZ ANSWER IF U KNOW THE ANSWER




Sadie is making a recipe that needs 3 1/4 cups of sugar. each scoop Sandy adds contains 1/8 cup of sugar. how many scoops does she needs to add for the entire recipe?​

Answers

Answer:

D. 26

Step-by-step explanation:

3 1/4 as eighths is 26/8

Answer:

26

Step-by-step explanation:

The harbormaster decides how many trips the ferry needs to
make for 37 cars. The ferry can carry 8 cars at a time. How many trips does the ferry need to make so that all cars can cross the harbor?

Answers

Answer:

The ferry needs to make 5 trips.

Step-by-step explanation:

All we need to do is divide the numbe of trips by how many cars at a time.

37 ÷ 8 = 4.62500

4.62500 ≈ 5

What is the distance between the points M (-21,-7) and N (-5,-7)?
A.28 units
B.16 units
C.26 units
D.14 Units​

Answers

It’s B, 16 units because that is the difference between -21 and -5

7,-6, 6 ___ ____>____ 1, ¼, ½ ____>____>____ -50,10,0 ____ _____>_____ -82,-93,-104 ____ _____>______ 11 ¼,11, 11 ½ ____ _____>______

Answers

Answer:0-0

Step-by-step explanation:

3^2-15÷(4-1)
Evaluate each expression
!!!Show your work!!!
A- 1
B- 10
C- 4
D- 6

Answers

Answer:

Step-by-step explanation:

D

Witch equation is shown on the graph below

A. Y=2x

B. Y=2x+1

C. Y=2+x

D. Y=2x-1

Answers

y=2x + 1 hopefully this helped :)

What's the better buy: A) 5lb. bag of potatoes for $3.79 or a 2lb. bag
for $1.50?

Answers

Answer:

A 2lb. bag because 1.50 x 2 = 3.00$ plus the extra 1 lb which is 75c = 3.75 $

Step-by-step explanation:

Could i have branliest and heart please

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