Mathematics High School

A bag of marbles contains 3 red marbles, 7 blue marbles, and 5 orange marbles. If a marble is drawn from the bag and not replaced, then a second marble is drawn. Calculate P(red then orange):

Answers

Answer 1

Answer:

[tex]\dfrac{1}{14}[/tex].

Step-by-step explanation:

It is given that,

Red marbles = 3

Blue marbles = 7

Orange marbles = 5

Total marbles = 3+7+5 = 15

Probability of getting a red marble is

[tex]P(Red)=\dfrac{\text{Red marbles}}{\text{Total marbles}}[/tex]

[tex]P(Red)=\dfrac{3}{15}[/tex]

[tex]P(Red)=\dfrac{1}{5}[/tex]

If a marble is drawn from the bag and not replaced. So remaining marbles is 15-1=14. Now,

Probability of getting an orange marble is

[tex]P(orange )=\dfrac{\text{Orange marbles}}{\text{Total remaining marbles}}[/tex]

[tex]P(orange)=\dfrac{5}{14}[/tex]

Now,

[tex]P(\text{red then orange})=P(Red)\times P(orange)[/tex]

[tex]P(\text{red then orange})=\dfrac{1}{5}\times \dfrac{5}{14}[/tex]

[tex]P(\text{red then orange})=\dfrac{1}{14}[/tex]

Therefore, the required probability is [tex]\dfrac{1}{14}[/tex].

Related Questions

The length of a rectangle is 2 yards less than 3 times the width.The perimeter is 68 yards. Find the width

Answers

Answer:

length = (3*width) -2

length + 2 = 3*width

width = (length +2) / 3

2*length + 2*width = 68

OR: 2*length = 68 -2*width

If length = (3*width) -2 then

2*length = 6 * width -4

therefore,

6 width -4 = 68 -2 width

8 width = 72

width = 9

Since 2 length + 2 width = 68

then 2 length = 68 -2 width

2 length = 68 -18

length = 25

Step-by-step explanation:

Where do most living things get the energy they need for life?
either from air or food
either from sunlight or air
either from food or sunlight either from air or water

Answers

Answer:

From air,water and also food

Answer:

Step-by-step explanation:

Find the distance between each pair of points
L(-7,0) ,Y(5,9)

Answers

Answer: The distance is 15

Step-by-step explanation:

To find the distance between L and Y find the difference in the x and y coordinates then square them and add them to find their square root.

-7-5= -12

0-9 = -9

12^2 + 9^2 = d^2 where d is the distance

144 + 81 = d^2

225 = d^2

d= [tex]\sqrt{225}[/tex]

d= 15

А
B
1. Village A, B and C lie on the edge of the Namib Desert.
Village A is 30 km due North of Village C. Village C is 65 km
due East of A.
Calculate the shortest distance between village C and B,
giving your answer to the nearest 0.1km

Answers

There answer would be A

the library is having a fall festival to raise money ashley spend 3.60 on popcorn 0.75on a drink and 5.00 to ride the ferris wheel how much money did ashley spend at the fall festival

Answers

Answer:

$9.35

Step-by-step explanation:

To solve this, all you have to do is add up all the costs Ashley experienced while attending the festival.

Popcorn $3.60

Drink $0.75

Ride $5.00

Total Cost $9.35

I hope this helps!

-TheBusinessMan

Answer:$9.35

Step-by-step explanation: first you add $3.60 and $0.75 which equals $4.35 then add $5.00 which would equal $9.35

Which represents a function

Answers

Answer:

the one on the right

Step-by-step explanation:

one input cannot have more than one output

Jesse loves to go hiking on rustic trails through trees and along rivers. One day in 20 minutes of hiking she hiked 1 mile. If Jesse hike at a constant rate what would the rate be

Answers

Answer:

0.05 mile per minutes

Step-by-step explanation:

Jesse's rate of hiking (miles per minute) = Total miles covered / Time covered

Miles covered = 1 mile

Time covered = 20 minutes

Jesse's rate of hiking (miles per minute) = Total miles covered / Time covered(minutes)

= 1 mile / 20 minutes

= 0.05 mile per minutes

20 minutes

= 20 × 60 seconds

= 1200 seconds

Jesse's rate of hiking (miles per seconds) = Total miles covered / Total time taken (seconds)

= 1 mile / 1200 seconds

= 0.0008333333333 miles per seconds

Approximately 0.000833 miles per seconds

2*3 help needed help ASAP

Answers

Answer:

Step-by-step explanation:

Multiply 2*3

you have two groups and you put 3 people in them you get 6 people in total

Answer:
5. A shop sells a bicycle for N$ 1 730.25, make a profit of 5%. At what wholesale price did
the shop buy the bicycle?
Answer:

Answers

Answer:

$1643.74

Step-by-step explanation:

The seller sell at $1730.25, makes 5%

Profit made = $1730.25*5% = $86.51

Hence, the wholesales price = Sales price - Profit made

Wholesales price = $1730.25 - $86.51

Wholesales price = $1643.74

Given: Line segment N M is parallel to line segment P O. and Angle 1 is-congruent-to angle 3 Prove: Line segment N M is parallel to line segment N O. What is the missing reason in the proof?given transitive property alternate interior angles theorem converse alternate interior angles theorem

Answers

Answer:

yeah its parrellell

Step-by-step explanation:

Solve the distance from point A to point B. Round you answer to the nearest tenth. A(5,4) and B(-4,-3)

Answers

Answer:

11.4

Step-by-step explanation:

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\\\d=\sqrt{(-4-5)^2+(-3-4)^2}=\sqrt{(-9)^2+(-7)^2}=\sqrt{81+49}=\sqrt{130}\\\\d=11.4017...\approx11.4[/tex]

Mr. Bell drove 440 miles in 8 hours, on the highway, at a steady speed. How far could he drive in five hours at the same average speed?

Answers

Answer: 250 miles

Step-by-step explanation: 440/8 = 50

50 x 5 = 250

Solve for d. dt=v What is d equal to? A. d=vt B. d=t/v C. d=v-t D. d=v/t

Answers

Answer: I think the answer is "d = vt"

Step-by-step explanation:

Multiply both sides of the equation by;

t * d = v * (t)

Multiply, v by t

Answer; d = vt

Hope this helps :)

The value of d, is equivalent to d = v/t.

What is a function?

An expression in mathematics defines a relationship between one variable (the independent variable, x) and another variable (the dependent variable, y). For example -

f(x) = 4x + 6

Given is the following equation -

dt = v

We have -

dt = v

d = v/t

Therefore, the value of d, is equivalent to d = v/t.

To solve more questions on functions, visit the link below -

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Using inductive reasoning, what number is the most reasonable conjecture for the next number in the pattern 27,23,19,15,

Answers

Answer:

Step-by-step explanation:

The pattern here is to subtract by 4, so 15-4=11

Henry needs 2 pints of red paint and 3 pints of yellow paint to get a specific shade orange. If he uses 9 pints of yellow paint and wants the same orange color, how many pints of paint will he need altogether. Explain how you know

Answers

Answer:

15 pints of paint 6 red 9 yellow

Step-by-step explanation:

3x3=9 so 9 yellow pints

and 2x3=6 so 6 red pints

6+9=15 so 15 pints of paint in total

How many calories will Darrel burn in 1 minute while kayaking enter the answer below in the box 50/200, 100/400, 150/600, 200/800

Answers

Answer:100/400

Step-by-step explanation:

The answer is 10 calories per minute, will tai burn in 1 minute while biking.

What is division?

Division is the process of splitting a number or an amount into equal parts. Division is one of the four basic operations of arithmetic, the ways that numbers are combined to make new numbers. The other operations are addition, subtraction, and multiplication.

here, we have,

We do not have much information to go on such as the speed that Tai is biking or his/her weight.

Regardless we can use the data gathered by the University of Harvard which after a study came up with the following results.

Their results showed that if an individual bikes at a speed of 13 mph and are around 155 pounds they will burn calories at a rate of 10 calories per minute.

Therefore we can assume that Tai is burning roughly 10 calories per minute.

his rate increases if the person bikes at a faster speed or weighs more as they are exerting more energy.

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complete question:

How many calories will tai burn in 1 minute while biking? Enter the answer in the box.

Danny is trying to determine the product between a rational and irrational number

Answers

Answer:

2√3=2√3, which is irrational

BIG IDEAS MATH

Chapter2-Section2
i
Write a function g whose graph represents a reflection in the y-axis of the graph of f(x) = -x+1.
g(x) =
Help!!!

Answers

Answer:

f(x) = -x+1

to find x-intercept/zero substitute f(x)=0.

0=-x+1

0=-x+1 move variable to the left-hand side and change its sign.

x=1

PLEASE HELP meeeeeeee

Answers

Answer: Distance between x intercepts is 1 unit.

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

Explanation:

Let's find the x intercept of f(x). Replace f(x) with 0 and solve for x

f(x) = -2x+2

0 = -2x+2

2x = 2

x = 2/2

x = 1

Plugging x = 1 into f(x) leads to f(x) = 0. The x intercept of f(x) is 1.

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

Now onto g(x). If we were given a row that had y = 0, then we'd immediately find the x intercept. However, that isn't given, so we'll have to do a bit of work to find the equation for g(x).

First we need the slope. Pick any two rows to find the slope. I'll pick the middle two rows.

m = (y2-y1)/(x2-x1)

m = (3-6)/(1-0)

m = -3/1

m = -3 is the slope

The y intercept is b = 6 as the table shows this pairs with x = 0. The y intercept always happens when x = 0.

So with m = -3 and b = 6, we see that g(x) = -3x+6.

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

Plug in g(x) = 0 and solve for x. We'll use similar ideas done in the first section at the very top

g(x) = -3x+6

0 = -3x+6

3x = 6

x = 6/3

x = 2 is the x intercept of g(x)

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

In summary, we found...

x = 1 is the y intercept of f(x)x = 2 is the y intercept of g(x)

Subtract the x intercept values to get 2-1 = 1, which is the distance between the x intercepts. The distance is never negative.

Simplify the expression: y2 * y2

Answers

Answer:

[tex]y^4[/tex]

Step-by-step explanation:

[tex]y^2*y^2[/tex]

Let's multiply the 2 by the other 2.

[tex]2*2=4[/tex]

Let's combine it all together

[tex]2*2\\y[/tex]

Since we already know that [tex]2*2[/tex] is [tex]4[/tex] , we add it to the y.

[tex]y^4[/tex]

Hope this helps!

what is the value of x in the equation 3x-4y=65 when y=4 HELLP PLEEAASE !!!!

Answers

Answer: x=27

Step-by-step explanation:

C(x) = mx + 500
A company's total cost c(x), in dollars, to produce x shirts is given by the function above, where m is a
constant and x > 0. The total cost to produce 100 shirts is $800. What is the total cost, in dollars, to
produce 1000 shirts? (Disregard the $ sign when entering your answer.)

Answers

Total cost as the function of shirts is :

C(x) = mx + 500 .

It is given that , The total cost to produce 100 shirts is $800.

800 = 100m + 500

m = 3

So , cost is given by :

C(x) = 3x + 500 .

Now , putting x = 1000 .

We get :

C(x) = 3x + 500

C(x) = 3(1000) + 500

C(x) = $3500

Therefore , cost of producing 1000 shirts is $3500 .

Hence, this is the required solution .

Total cost to produce 1000 shirts will be $3500.

Linear equation: A linear equation with two variables 'x' and 'y' are given by,

y = mx + b

Here, m = constant

Given in the question,

Equation representing company's total cost C(x) and number of shirts 'x' as,

C(x) = mx + 500

Here, m = constant

And x > 0

If C(x) = $800, x = 100,

800 = m(100) + 500

m = 3

Equation for the total cost to produce the 'x' shirts will be,

C(x) = 3x + 500

If x = 1000,

C(x) = 3(1000) + 500

x = $3500

Therefore, total cost to produce 1000 shirts will be $3500.

Learn more about the linear equation here,

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The ratio of yellow to blue skittles in a bag 5:9 if there are 12 more blue skittles in the bag than yellow skittles how many yellow skittles are in the bag

Answers

Answer: 15

Step-by-step explanation: 5/9=15/27. 27-15=12

The number of yellow skittles in the bag are 15 skittles while the number of blue skittles in the bag are 27 skittles.

What is Ratio?

A ratio is an ordered pair of numbers x and y which can be written as x / y where y does not equal 0. A proportion is an equation in which two ratios are set equal to each other.

For given information,

The ratio of yellow to blue skittles in the bag is 5:9

The number of blue skittles in the bag = 12 + The number of yellow skittles in the bag= 12+Y

Fraction of the total skittles that are yellow = 5/(5 + 9) = 5/14

Fraction of the total skittles that are blue = 9/(5+9)= 9/14

The total number of skittles = Yellow + Blue

in this Y as yellow; Y+12 as blue.

Y + Y + 12 = 2·Y + 12

The fraction of the total skittles that are blue = 9/14

we have 9/14 × (2·Y + 12) = Y + 12

-> 9 × (2·Y + 12) = 14 × (Y + 12)

-> 18·Y + 108 = 14·Y + 168

-> 18·Y - 14·Y = 168 - 108 = 60

-> 4·Y = 60

-> Y = 60/4 = 15

∴ The number of yellow skittles in the bag = 15

The number of blue skittles is given as = Y + 12 = 15 + 12 = 27.

Thus, the number of yellow skittles in the bag are 15 skittles while the number of blue skittles in the bag are 27 skittles.

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Move. After the origin, (0,0), set the equation of EF is y=x. no record the coordinates of the vertices of a polygon ABCD. what are the coordinates of the vertices of the reflected polygon AefBefCefDef where EF is the line of reflection? enter the coordinates on the table

Answers

Answer:

Vertex Coordinate Vertex Coordinate

A (1, 1) AEF (1, 1)

B (2, 3) BEF (3, 2)

C (3, 2) CEF (2, 3)

D (2, 1) DEF (1, 2)

Step-by-step explanation:

Plato sample

We have wrote the coordinates.

What is an Expression?

An expression is a number, a variable, or a combination of numbers and variables and operation symbols

How to solve it?

We have

Vertex Coordinate Vertex Coordinate

A (1, 1) AEF (1, 1)

B (2, 3) BEF (3, 2)

C (3, 2) CEF (2, 3)

D (2, 1) DEF (1, 2)

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A water tank is 2/3 full. 40 litres of water are taken from the tank. The tank is now 1/2 full. How many litres does the tank hold when full?

Answers

⅔ - ½ = 4/6 - 3/6 (make denomenator the same)

= 1/6

Thus, 1/6 = 40 litres

A full tank is 6/6 which equals to 1 whole

So,

1 unit (from 1/6) = 40 litres

6 units (from 6/6) = 40 × 6

= 240 litres

Therefore, the tank holds 240 litres when it is full.

( i hope my solution helps :3 )

The number of liters does the tank hold when full is 240 liters.

Number of liters

Formulate

x=40÷⅔ - ½

Let find the common denominator

x=40÷4-3/6

Calculate the sum or the difference

x=40÷1/6

Divide the fraction

x=40×6

x=240 liters

Inconclusion the number of liters does the tank hold when full is 240 liters.

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Please help, Solve Systems of Linear Equations

Answers

Answer:

x = 1 , y = 1 , z = -3

Step-by-step explanation using elimination:

Solve the following system: