Doug has a bag full of crayons. There are 6 red crayons, 7 blue ones, and 4 green crayons. Doug wants to color a blue sky. What is the probability that Doug will pull out a red crayon, put it back in the bag, and then get a blue crayon? Write your answer as a simplified fraction

Answers

Answer 1

Answer:

[tex]\sf \dfrac{7}{17}[/tex]

Step-by-step explanation:

Given information:

6 red crayons7 blue crayons4 green crayons

⇒ total number of crayons = 6 + 7 + 4 = 17

[tex]\sf Probability\:of\:an\:event\:occurring = \dfrac{Number\:of\:ways\:it\:can\:occur}{Total\:number\:of\:possible\:outcomes}[/tex]

[tex]\implies \sf P(red\:crayon) =\dfrac{\textsf{Number of red crayons}}{\textsf{Total number of crayons}}=\dfrac{6}{17}[/tex]

If the red crayon is put back in the bag, the drawing of the red crayon prior to drawing the blue crayon will not affect the probability of drawing a blue crayon.

[tex]\implies \sf P(blue\:crayon)=\dfrac{\textsf{Number of blue crayons}}{\textsf{Total number of crayons}}=\dfrac{7}{17}[/tex]


Related Questions

Thomas drive from junction 2 to junction 3 on a road . The distance between the junctions is 12 miles and it takes 15 minutes. Hanna also drove from junction 2 to junction 3 on the road. She drove at an average speed of 50 mph . Who has the faster speed. Explain​

Answers

Answer:

Hanna

Step-by-step explanation:

In order to find out how fast Thomas has drove as compared to Hanma we have to compare the speed of each other,

Speed of Hanna = 50mph (as given in ur question)

Speed of Thomas

Since the unit of time of the distance traveled by Thomas is not same as that of Hanna we have to convert the minutes into hour,

Distance traveled = 12miles

Time taken = 15minutes

Speed = 12miles/15mim

Converting minutes into hours we have to multiply by a number whose product will be 60 and that will 4

that is 15 times 4 is 60. But to make the ratio equal

we have to multiply the distance too by 4.

= 12*4/15*4

=48 miles/60minutes

=48miles/1hour

=48mph

Comparing both speeds

Speed of Hanna compared to Speed of Thomas,

50mph > 48mph

Hence, Hanna has the faster speed.

A number cube is rolled 450 times and the
results recorded as follows: There were
75 ones, 80 twos, 69 threes, 78 fours,
77 fives, and 71 sixes. What is the
experimental probability of rolling a two or a
three?
[A] 0.33 [B] 0.57 [C] 0.43 [D] 0.67

Answers

Answer:

A.) 0.33

Step-by-step explanation:

What is the probability for blue or yellow (be sure to simplify)? ​

Answers

Answer:

Step-by-step explanation:

No of red marbles=n(A)=3.Total no of marbles=n(s)=3+2+5=10.Probability,p(A)=n(A)/n(s)


Help!! Algebra 1 math equation

Answers

Answer:

6

Step-by-step explanation:

The answer is 6. You're looking for the rate of change in the number of DVD's. from 9,15,21,27, each time you add 6, so +6 is your constant variation.

The courier travelled 508 km in 8h. b) At this rate, how long will it take the courier to travel 889 km?

Answers

Answer:

14 hours

Step-by-step explanation:

Finding the rate of travel

Distance covered / Time taken508 kilometers / 8 hours63.5 kilometers per hour

Time taken to cover 889 km

Distance / Rate of Travel889 kilometers / 63.5 kilometers per hour14 hours

4.1: Angle Articulation

Triangle A'B'C' is a dilation of triangle ABC using center P and scale factor 2.

1. What do you think is true about the angles in A' B'C' compared to the angles in ABC?

2. Use the tools available to figure out if what you thought was true is definitely true for
these triangles.

3. Do you think it would be true for angles in any dilation?

Answers

1.) The measure of each angle of  ABC is equal to the corresponding angle of  A'B'C' , the measures of this angle is preserved when you rotate the triangle.

2.) It was clear that triangle A'B'C' is dilated form ABC, meaning the angles will be the same.

3.) The rules for dilation only change the length of the triangle not the angles.

The area of a computer screen is 108 in with a side length of 12. What is the area of a tv screen similar to the computer screen with a side length of 20 in?

Answers

Answer:180in squared

Step-by-step explanation:

108 divided by 12 is 9, so 20*9= 180

Please help I'll give Brainliest and Thanks. its also due in 15 minutes.


Simplify: -1║2/3 - 4║ ÷ 5/6

║means an absolute value line.

A. -4

B. -25/9

C. 25/9

D. 4

Answers

Answer:

A or -4

Step-by-step explanation:

simplify to -1 || -10/3 || × 6/5

-1 × 10/3 × 6/5

-1 × 2 × 2

Using the table, if there are 5 flowers, how many petals are there?
A) 11
B) 6
C) 30
D) 25

Answers

Answer:

i think is 25

Step-by-step explanation:

you dont have  no diagram but i think it 5x5=25

Please help me! I need to figure it out

Answers

[tex]Q_3-Q_1=Q_i[/tex]Answer:

The answer is 10. Frank has done more than Marquis by10.

Step-by-step explanation:

From the internet, the interquartile is Q_3-Q_1=Q_inter

From Marquis his Q_3 = 40 and Q_1 = 20

[tex]Q_3-Q_1=Q_i[/tex]

40-20=20

From Frank his Q_3 = 40 and Q_1 = 10

[tex]Q_3-Q_1=Q_i[/tex]

40-10=30


Frank's interquartile is 30 and Marquis interquartile is 20.

Differences between the both of them.

30-20=10

Nina’s garden is 4 1/5 meters long and 3/10 meter wide. What is the area of Nina’s garden

Answers

Answer:

12.6

Step-by-step explanation:

1/5 = .2

3/10 = .3

4.2 x .3 = 12.6

Work out the value of x

Answers

Answer:

Step-by-step explanation:

Add 87° + 63° = 150°

then set up this equation:

x + 150° = 180°

x + 150° = 180°

   - 150° = -150°

x = 30°

When you add 87 + 63 + 30

it should give you 180° if it doesnt equal 180° then recheck your work.

This screenshot should help you

Stay Safe GL!

Factor the expression 25x² - 36.
O A. (5x²-6)(5x² + 6)
B. (5x-6)²
O C. The expression is already fully factored.
OD. (5x-6)(5x + 6)

Answers

The answer is D (5x-6)(5x + 6)

For a project, Carlos must provide one cut-out paper model of each type of triangle: acute, right, and obtuse. He sketches each triangle on graph paper before making the models.

On a coordinate plane, 3 triangles are shown. One triangle has points (3, 3), (3, 6), (6, 3). Another triangle has points (5, 7), (4, 10), (7, 8). Another triangle has points (7, 1), (7, 6), and (9, 4).

What is the total area of the three triangles?

12.5 square units
13 square units
13.5 square units
14 square units

Answers

Answer:

Its 12.5 squares eric deleted my answer!

Step-by-step explanation:

Answer: B. 13

Step-by-step explanation: On Edge!!!!

Allison and Amir are working on a school project together. Allison will do 3/4 of the research, and Amir will do the rest. Amir can do 1/8 of the research in an hour. How long will it take amir to complete his research

Answers

Answer: 2hours

Step-by-step explanation:

Allison does 3/4 and Amir does 1/4

Amir can do 1/8 in 1hr, how long will it take to complete ¼ work

1/4 ÷ 1/8 =2

What is the volume of the prism?
Enter your answer in the box as a mixed number in simplest
form.
1/1/2 1/1/2 2ft

Answers

Answer:

[tex]\text{the volume of the prism =} \ 4\frac{1}{2} \ ft^3[/tex]

Step-by-step explanation:

Formula _____________________

the volume of a prism = base × height

================================

[tex]\text{base\ =} \ 2\times 1\frac{1}{2} =2\times \left( 1+\frac{1}{2} \right) =2\times \left( \frac{3}{2} \right) =3[/tex]

[tex]\text{the volume of the prism =} \ 3\times \left( 1\frac{1}{2} \right) =3\times \left( \frac{3}{2} \right) =\frac{9}{2} =4\frac{1}{2}[/tex]

Point A is located at (-2, -3). After it is transformed, point A' is located at (-2, 3).
How was the point transformed?

It was reflected in the y-axis

it was rotated 180°

it was rotated 90 around the origin

it was reflected in the x-axis

Answers

Answer:

D.

Step-by-step explanation:

All the other answers are wrong.

The points are reflected across the x-axis.

Here is why:

Point A is at (-2, -3)Point A' is located at (-2, 3)If you move across the x-axis in this form, you will see that they are reflected.

Correct choice is D.

Please help!! Will mark brainlyest.

Answers

Answer:

C. the X coordinates will increase by 2.

Step-by-step explanation:

Here are the examples:

If a X coordinate moves 2 spaces to the left, then it will decrease.If a X coordinate moves 2 spaces to the right, then it will increase.

In this case, a X coordinate will increase by 2.

Correct choice is C.

Kiran is going to see a movie and is taking his 3 kids. Each movie ticket costs $13 and there are an assortment of snacks available to purchase for $4. 50 each. How much total money would Kiran have to pay for his family if he were to buy 4 snacks for everybody to share? How much would Kiran have to pay if he bought xx snacks for everybody to share?


I will give brainlist plsssss I need helppp

Answers

Answer: I only have the first answer sorry. The 1st answer is $13.50

Step-by-step explanation:

I multiplied $4.50 by the 3 kids and got $13.50 for the snacks.

Which expression is equivalent to 10x2y 25x2? 5x2(2y 5) 5x2y(5 20y) 10xy(x 15y) 10x2(y 25)

Answers

GCF is the highest value that can divide an expression. The equivalent expression to  10x^2y + 25x^2 is 5x^2 (2y + 5)

Factoring polynomial expressions

GCF is the highest value that can divide an expression. Given the expression below

10x^2y + 25x^2


Find the factor of each

10x^2y = 5 * 2 * x^2 * y

25x^2 = 5 * 5 * x^2

Since 5x^2 is common to both factors, hence

10x^2y + 25x^2 = 5x^2 (2y + 5)

The equivalent expression to  10x^2y + 25x^2 is 5x^2 (2y + 5)

Learn more on factoring here: https://brainly.com/question/24734894

The work of a student to solve the equation 3(3x − 4) = 8 + 2x + 5 is shown below: Step 1. 3(3x − 4) = 8 + 2x + 5 Step 2. 6x − 7 = 13 + 2x Step 3. 6x − 2x = 13 + 7 Step 4. 4x = 20 Step 5. x = 5 In which step did the student first make an error and what is the correct step? (1 point) Step 2, 9x − 12 = 13 + 2x Step 2, 9x − 4 = 2(6 + x + 3) Step 3, 6x + 2x = 13 + 7 Step 3, 6x − 2x = 13 − 7

Answers

Answer:

  (a)  Step 2. 9x -12 = 13 +2x

Step-by-step explanation:

The distributive property says a factor outside parentheses multiplies each term inside parentheses. It is an error to do addition of the factor, or to miss multiplying a term.

In Step 2 of this "solution", the factor of 3 is erroneously added to each coefficent inside parentheses. It should be multiplied.

Correct Step 2: 9x -12 = 13 +2x

__

The rest of the solution should be ...

  Step 3: 9x -2x = 13 +12

  Step 4: 7x = 25

  Step 5: x = 25/7

___

Check

  3(3(25/7) -4) = 8 + 2(25/7) +5

  3((75 -28)/7) = 13 +50/7

  141/7 = 141/7 . . . . . answer checks OK

Moses is creating a large cube sculpture for a city park. He first makes a smaller cube to use as a rough model of his sculpture. The edge lengths of the model are each 25 in. The edge lengths of the sculpture will be 3 times the model's edge lengths. How many times as large is the volume of the sculpture than the volume of the model? Show your work.​

Answers

From the calculations, the volume of the sculpture is 27 times the volume of the model.

Volume of a cube

The volume of a cube is obtained using the formula;

Volume = l^3

Where l is the length of each edge. We should note that the lengths of all the edges in a cube are equal.

Hence,

volume of the model = (25)^3 = 15625 in^3

volume of the sculpture = (3 * 25)^3 = 421875  in^3

Ratio of the volume of the sculpture to the volume of the model = 421875  in^3/15625 in^3

= 27:1

Hence, the volume of the sculpture is 27 times the volume of the model.

Learn more about volume: https://brainly.com/question/12908738

I need to know the of the blue line

Answers

Step-by-step explanation:

if i pick (3,4) and (6,10)

the formula for gradient is difference in y divided by difference in x . therefore

10-4 divided by 6 - 3 equals to 6 divided by 3 = 2

the gradient is 2

Please help, I need this quickly. It's an easy trigonometric question.

Answers

[tex]\bold{ANSWER:}[/tex]
OPTION D: None of these

[tex]\bold{EXPLANATIONS:}[/tex]

Answer:c x=13

Step-by-step explanation:

straight line =180

180-50=130

7x+3x=10x

130/10=13

So the answer is x=13

Jodi sorted shapes into two groups based on the types of angles they
appear to have, as shown below.

Answers

Both shapes in group A and group B are inscribed in a circle

Shapes present in group A and group B

In group A and group B, we have different shapes present in them.

In group A, we have two shapes that are inscribed in a circle.

In group B, what both shapes have in common is that they're inscribed in a circle.

The shape below belong to a rectangle.

Both shapes have a common factor which are

They are both inscribed in a circle

Learn more on shapes here;

https://brainly.com/question/25965491

One number is 1 less than three times another number. if the product of the two numbers is 102, find the number

Answers

Answer:

25.25

Step-by-step explanation:

3y-1 (y) = 102

4y-1 = 102

4y = 101

y = 25.25

Help will name Brainliest

Answers

Answer:

x = 5

Step-by-step explanation:

using the sine or cosine ratio in the right triangle and the exact value

sin30° = [tex]\frac{1}{2}[/tex] , then

sin30° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{x}{10}[/tex] = [tex]\frac{1}{2}[/tex] ( cross- multiply )

2x = 10 ( divide both sides by 2 )

x = 5

Bobby spent $12 at the football game Friday night. He spent $2 on nachos, $5 on drinks, $3 on popcorn, and $2 on candy. What percentage of Bobby's expenses do the nachos and candy represent?

Answers

Answer:

33.3%

Step-by-step explanation:

$2 on nachos and $2 on candy will get you $4 spent on them both.

You then have a fraction (4/12)which is 1/3.

1/3=33.3%

The answer is 20%

Explanation: he spent 4$ on nachos and candy, over a total of 24. The fraction turns into 1/5 which as a percentage is 20%

how many groups of 7 does it take to make 7 tens

Answers

Answer:


It takes 10 groups of 7 to make 7 tens

Step-by-step explanation:

I’m smart

URGENT
What will five 100's do to a grade of 92%? How many points will it bring my grades up by?

Answers

Answer:

See below ~

Step-by-step explanation:

Given

Mean = 92%

Solving

Add 5 points of 100% and divide by 6 (total entries)92 + 5(100) / 6592/698.67%

Solution

Five 100s will bring up the 92% up by 6.67% to 98.67%
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