A bag contains 8 white marbles, 6 red marbles and 4 blue marbles. How many blue marbles must be added to the bag so that the probability of choosing a blue marble is 1/2?

Answers

Answer 1

Answer:

5 marbles

Step-by-step explanation:

A bag contains

8 white marbles

6 red marbles

4 blue marbles.

Total number of marbles is :

8 + 6 + 4

= 18 marbles

Based on this current proportion

The Probability of choosing a blue marble = Number of blue marbles/ Total number of marbles

In order for the Probability of choosing a blue marble to be 1/2

The number of blue marbles has to be:

= 18 marbles × 1/2

= 9 blue marbles

From the question we have 4 blue marbles, hence:

9 blue marbles - 4 blue marbles

= 5 blue marbles

Therefore, 5 blue marbles must be added to the bag so that the probability of choosing a blue marble is 1/2.

Answer 2

Answer:

The actual answer would be 10 marbles.

Step-by-step explanation:

1. we had started off by adding 8+4+6 to get the total number of marbles. If we do that, we will get that there are 18 marbles in total.

2. here is where the others went wrong. If we say that we need 5 blue marbles to get 9/18 blue marbles, you are wrong. This is because we have to add 5 to the total number of marbles as well. Then we get 9/23 marbles. which is clearly not 1/2,

3. However, if we multiply 5 by 2, we get 10 blue marbles. if we add 10 to the original 18, we get 28 total marbles. Now if we add 10 to 4 we get 14 blue marbles.

SUCCESS!!!

14/28 blue marbles is 1/2, therefore we must add 10 blue marbles.


Related Questions

The line L passes through the points (0, –2) and (6, 1).

Find an equation of the line L.

Answers

The equation for line L is, y=-1/6x+2

Answer:

an equation of the line L will be: y = 1/2x - 2

Step-by-step explanation:

The slope-intercept form of the line equation

y = mx+b

where

m is the slopeb is the y-intercept

Given the points

(0, -2)(6, 1)

Determining the slope between (0, -2) and (6, 1)

[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\left(x_1,\:y_1\right)=\left(0,\:-2\right),\:\left(x_2,\:y_2\right)=\left(6,\:1\right)[/tex]

[tex]m=\frac{1-\left(-2\right)}{6-0}[/tex]

[tex]m=\frac{1}{2}[/tex]

The y-intercept can be determined by setting x = 0, and determining the corresponding value of y.

From the point (0, -2), we can determine that at x = 0, the value of y = -2.

Thus,

The y-intercept b = -2

now substituting b = -2 and m = 1/2 in the slope-intercept form of line equation

y = mx+b

y = 1/2x + -2

y = 1/2x - 2

Therefore, an equation of the line L will be: y = 1/2x - 2

find the length of side a​ HURRRY

Answers

Step-by-step explanation:

Since it is a right-angled triangle,

we have a² + 5² = 13². (Pythagoras' Theorem)

=> a² = 13² - 5² = 144, a = 12. (C)

Find the sum or difference:

(2w - 9) + (-4w - 5)

(6d + 5) - (2 - 3d)

(4 - 5y) - (2y - 16)

Answers

Answer:

-2w+-14

3d+3

-7y+-16

Step-by-step explanation:

Remove ()-     2w+-9+-4w+-5

2w+-4w = -2w

-9+-5 = -14

-2w+-14

Remove ()-    6d+5+-2+-3d

6d+-3d = 3d

5+-2 = 3

3d+3

Remove ()-   4+-5y+-2y+-16

-5y+-2y = -7y

4+-16 = -12

-7y+-12

x - y = 2

x + y = -3
Solve this using elimination
Quickly please!!!!

Answers

The answer for x=-1
The answer for y=-5/2

I believe these are correct

SOLVE FOR X, EXPLAIN PLEASE URGENT.

Answers

3x-3=27
-3=-3
3x=24
3x/3=24/3
X=8


[tex] {3}^{4} \times x \times ( \frac{3}{ {x}^{2} } ) {}^{2} [/tex]
how do you do this please​

Answers

Answer:

the solution for x²+2x+8<0

What are is the answer here and why? Use the notes in the left.

Answers

Answer:

X = 3.

explanation is in the picture.

hope it helps.

Answer:

x = 3

Step-by-step explanation:

2(3x -5) + 3x + 3 = 20

^^ solve parenthesis

6x - 10 + 3x + 3 = 20

    +10                 +10

add ten to both sides

6x + 3x + 3 = 30

add like terms

9x + 3 = 30

      -3     -3

subtract 3 from both sides

9x = 27

divide both sides by 9

x = 3

solve the system using elimination -2x + y = 11 2x + 3y= 17

Answers

Answer:

point form: (-2,7)

equation form: X = -2, Y = 7

Alvin is 15 younger than elga the sum of their age is 27 what is elga age

Answers

Answer:

27 years old

Step-by-step explanation:

Let Alvin's age be x and Elga's age is y:

y - x = 15

x + y = 27

2y = 42 (use elimination method)

y = 21

x = 6 (plug it back into either equation)

Therefore Alvin is 6 and Elga is 27

An ice cream factory makes 210 quarts of ice cream in 2 hours. Calculate the unit rate of quarts per hour.​

Answers

Answer:

105 quarts an hour

Step-by-step explanation:

divide 210 by 2

what is the answer to 2q + 2 +9

Answers

Answer:

Step-by-step explanation:

2

+

2

+

9

2q+2+9

2q+2+9

Simplify

1

Add the numbers

2

+

2

+

9

2

+

1

1

Solution

2

+

1

1

90 Points! Select the correct answer. (Screenshot attached)

Answers

[tex]\\ \rm\Rrightarrow \sqrt[3]{686x^4y^7}[/tex]

[tex]\\ \rm\Rrightarrow \sqrt[3]{343(2)x^4y^7}[/tex]

[tex]\\ \rm\Rrightarrow \sqrt[3]{7^3(2)x^4y^7}[/tex]

[tex]\\ \rm\Rrightarrow 7xy^2\sqrt[3]{2xy^2}[/tex]

Option C

Two employees Maggie and Rachel earn $18 per hour. Maggie receives 1.00 raise each 6 months and Rachel receives a 6% raise each year. Write an equation to represent Maggie pay over x years

Answers

18-10000% in 6 months x is 18

roberts mom gave him $9 to buy groceries. she told him to buy a loaf of bread and as many quarts of milk as he could with the money she gave him. a loaf of bread costs $2.20 and a quart of milk costs 1.20. if x represents the number of quarts of milk robert buys, which inequality represents this situation

Answers

Answer:

he can buy 5 quarts of milk

Step-by-step explanation:

Write a real-world problem that is represented by the inequality below. x >5​

Answers

Speed limit Legal speed on the highway ≤ 65 miles per hour
Credit card Monthly payment ≥ 10% of your balance in that billing cycle
Text messaging Allowable number of text messages per month ≤ 250
Travel time Time needed to walk from home to school ≥ 18 minutes

What is the sum of the expression below? (9c – 8d) + (2c – 6) + (–d + 3)
A. 11c + 9d – 9
B. 11c – 9d – 3
C. 7c – 7d – 3
D. 7c – 9d + 3

Answers

Answer:

Answer:

11c−9d−3

Step-by-step explanation:

9c−8d+2c−6−d+3

=9c+−8d+2c+−6+−d+3

=9c+−8d+2c+−6+−d+3

=(9c+2c)+(−8d+−d)+(−6+3)

=11c+−9d+−3

Answer--

=11c−9d−3

Which one is equivalent? Answer needed ASAP!!
Will mark Brainliest!!

Answers

Answer:

-5÷17, -5/17, 5/-17

Step-by-step explanation:

Answer:

-5/17, 5/(-17), 5/-17 (sorry if they're wrong i'm doing my homework at the same time.)

Step-by-step explanation:

Which number is between -0.49 and 0.01 on a number line?

Answers

I really don’t know but maybe this will help you now and later

what is 5000000000000000times 409458374.9394ir

Answers

Answer:

2,047,291,874,697,000,000,000,000

Step-by-step explanation:

that is the answer to the multiplication statement xD

The plastic cylinder has a diameter of 2 cm. There is a rectangular 0.6 cm square prism through the middle of the cylinder, extending from the top to the bottom. The height of the cylinder is 6 cm. Find the volume of the cylinder without the prism.

Answers

Answer:

16.69 cm³

Step-by-step explanation:

In finding the volume of the cylinder without the prism you find the volume of the cylinder assuming it has no prism in it then minus the volume of the prism

Volume of the cylinder assuming there is no prism through it

V=πr²h  where r is radius of the cylinder and h is height of the cylinder

Given that diameter = 2, then r= 1 cm  and height, h = 6cm

V= π * 1 * 1 * 6

V= 18.85 cm³

Volume of the rectangular prism

V= l*w*h

V= 6*0.6*0.6

V= 2.16 cm³

The volume of the cylinder without the prism

18.85 cm³-2.16 cm³ = 16.69 cm³

Answer:

Not an answer

Step-by-step explanation:

A holiday costs £1900. Work out the price after a 9% discount

Answers

Hey there!

The answer to your question is £1729.

To solve this equation, first we find how much is left. 100% - 9% = 91 %. That means that the new price is 91% of the old price. So, we can do 0.91 x 1900, and we get 1729.

Therefore, the new price is  £1729.

Hope it helps! Have a great day, and good luck!

A holiday costs £1900.The price after a 9% discount is £1729

For better understanding , check the calcualtion to find out price after discount below.

Calculation

A holiday costs £1900. we need to find out the price after a 9% discount

We are given with 9% discount. find out the discount amount from the cost .

Discount amount = original cost * the discount percentage

discount amount

[tex]1900 \cdot 9percent\\\\1900 \cdot \frac{9}{100} \\171[/tex]

Discount amount is £171

Now subtract the discount amount from the original cost

Final cost after discount is

[tex]1900 - 171 \\1729[/tex]

A holiday costs £1900.The price after a 9% discount is £1729

Learn more information about 'Discount' here

brainly.com/question/851744

Hailstones form when strong winds support ice particles high in clouds. We can assume that the diameter of a hailstone varies directly with the time the hailstone takes to form. A hailstone with a diameter of 0.75 inches takes about 12 minutes to form. Write an equation that gives the hailstone’s diameter d after t minutes. Then find the diameter of a hailstone that takes 20 minutes to form.

Answers

Answer:

the equation y= ax represents direct variation between x and y is said to vary directly with x. the nonzero constant a is called the constant of variation.

Step-by-step explanation:

I'm not sure if that's what you were asking for but there .

brainiest please.

1. Find the slope and y-intercept of the graph of the following equation.
y=-x+4

Answers

Answer:

Slope -1 , y intersept is (0,4)

Answer:

Y intercept=4 and the slope is -1/1 or -1

Step-by-step explanation:

The numeral by itself is the Y intercept and thw number next to the x would be the slope is there is no number its just one and if its a single number for ex 4x it would be 4/1 so your answer would be Y intercept=4 and the slope is -1/1 or -1

Solve the problem. Round the solution to the nearest hundredth where applicable. What is the tangent of ZH?
check photo for image and options​

Answers

B because tangent is Opposite/hypotenuse. = 6/8 = 0.75

On Saturday Hallie received a $20 allowance. By Tuesday she had spent $9.35 and on Wednesday she
spent $8.20. How much of Hallie's allowance was left after Wednesday?

Answers

Hallie has 2.45 of her allowance left after Wednesday.
Hallie would have 2.45

1206.37 ROUNDED TO NEARST HUNDRETH

Answers

Answer:

It is already rounded

Step-by-step explanation:

Damien is competing in both swimming and running at a competition. After analyzing himself and his competitors, he knows that he has a 65% chance of winning at swimming and an 85% chance of winning at running. What is the probability that he will win the running event, but lose the swimming event?

Answers

Answer:

[tex]Probability = 0.2975[/tex]

Step-by-step explanation:

Giving:

Swimming

[tex]P(Win[Swim])= 65\%[/tex]

Running

[tex]P(Win[Run])= 85\%[/tex]

Required

Determine the probability of winning at running and losing at swimming

First, we calculate the probability of losing at swimming using

[tex]P(Win) + P(Lose) = 1[/tex]

Substitute 65% for P(Win)

[tex]65\% + P(Lose[Swim]) = 1[/tex]

Collect Like Terms

[tex]P(Lose[Swim]) = 1 - 65\%[/tex]

[tex]P(Lose[Swim]) = 35\%[/tex]

The required probability is then calculated using:

[tex]Probability = P(Win[Run]) * P(Lose[Swim])[/tex]

[tex]Probability = 85\% * 35\%[/tex]

Convert to decimal

[tex]Probability = 0.85 * 0.35[/tex]

[tex]Probability = 0.2975[/tex]

this too pls pls pls

Answers

Answer:

0.333n + 28 ; 33.3 ; $41.653

Step-by-step explanation:

For the best fit line :

The slope of the graph :

Drawing a right angled triangle at any point on the best fit line :

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

Gradient = (45 - 30) / (50 - 5)

Gradient = 15 / 45

Gradient = 0.333

Intercept :

Where best fit line crosses the y - axis = 28

b = 0.333n + 28

The extra cost of each extra call made made is the slope of the graph :

$0.333 = 33.3 cents

Estimated cost of 41 calls

b = 0.333(41) + 28

b = $41.653

Kindly note that, the values used were obtained from a graph which isn't lined, therefore values taken may not be very accurate.

Denise owes her friend Jessica $25. She pays her back $17. How much
does she still owe?

Answers

Answer:

8

Step-by-step explanation:

25-17

thanks me later

Here is a number machine.

Answers

Answer:

The output is 3n + 6

Step-by-step explanation:

You have to apply all of the steps in order:

Since we cannot simplify n+2, we have to write it as (n+2). Next, since we do the next step, multiply by 3. This would be 3(n+2), and if you apply the distributive property (multiply), you would get 3 * n + 2 * 3, or 3n + 6.

Answer: 3n + 6

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