A bag contains 15 blue marbles, 5 red marbles, and 11 green marbles. How many blue marbles must be removed

from the 31 marbles in the bag so that the probability of randomly drawing a blue marble is ?

Answers

Answer 1

A bag contains 15 blue marbles, 5 red marbles, and 11 green marbles. How many blue marbles must be removed

from the 31 marbles in the bag so that the probability of randomly drawing a blue marble is 1/3?

Answer:

7 blue marbles

Step-by-step explanation:

15 blue

5 red

11 green

Total = 31

Number of Blue marbles that must be removed to obtain a probability of :

P(blue) = 1/3

Probability = required outcome / Total possible outcomes

Let number of blue marble to be removed = x

Number of Blue becomes : 15 - x

Total becomes : 31 - x

P(blue) = 1/3

1/3 = (15 - x) / (31 - x)

1/3 * (31 - x) = 15 - x

(31 - x) / 3 = 15 - x

31 - x = 45 - 3x

-x + 3x = 45 - 31

2x = 14

x = 14 / 2

x = 7


Related Questions

Sports team is building a new stadium on a rectangular lot of land. It's a lot measures 10 X by five eggs and the sports field will be 6X by 2X, how much of the lot will be left over to build bleachers on

Answers

Answer:

4 X 2

8 unit²

Step-by-step explanation:

Given that:

Lot size = 10 X 5

Sport field = 6 X 2

Dimension of lot left :

(10 - 6) X (5 - 2)

4 X 2

Area left :

Length x width

4 * 2

= 8 units²

4. Which point is labeled at (-2, 3)?

Answers

Answer:

G

Step-by-step explanation:

I hope this helps, have a great day:) God bless you!

Answer:

g

Step-by-step explanation:

bc you go from -2 then up the Y axis 3 times and its g

Find the side indicated by the variable. Round to the nearest tenth.​

Answers

Answer:

b ≈ 25.6

Step-by-step explanation:

From the figure attached,

By applying tangent rule in the given triangle,

tan(32°) = [tex]\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]

tan(32°) = [tex]\frac{16}{b}[/tex]

b = [tex]\frac{16}{\text{tan}(32)}[/tex]

b = [tex]\frac{16}{0.62487}[/tex]

b = 25.605

b ≈ 25.6

If a Canada savings Bond is worth $6225 after 7 years, and was originally bought for $5000, what was the annual simple interest rate? Answer as a percentage.

[Formulas are,
[I = P, R, T]
[A = P + I]
[A = P(1 + R times T)

Answers

Answer:

3.5%

Step-by-step explanation:

Given data

A=$6225

P=$5000

T= 7years

R=???

Simple interest

A=P(1+rt)

substitute

6225=5000(1+7r)

6225=5000+35000r

collect like terms

6225-5000=35000r

1225=35000r

r= 1225/35000

r=0.035

Hence the rate is 0.035*100= 3.5%

What is the volume of this triangular pyramid?

Answers

The volume is 24 cubic meters :)

please, I need your help!! I will mark correct answer as brainliest.

Answers

Answer:

3, -3, 0

Step-by-step explanation:

The exlcusions of x are where the denominator =0

So we can write the following equations

x²-9=0

and

5x=0

Let's solve the first one

x²-9=0

x²=9

x= ±3

and

5x=0

x=0

Therefore x cannot equal 3, -3, 0

Answer: 3, -3, 0

So, yea. The answer ontop is also correct

HELP PLEASE IM GOING TO FAIL WILL GIVE BRAINLESS

Answers

Answer:

x= 20

AD= 23

DC= 23

AC= 46

Step-by-step explanation:

because it's a median that means that x+3=2x-17 solve for x and get x=20 which (I think) means that AD, DC= 23 and that AC= 46

PLEASE HELP ME 100 POINTS

A. 6.3 in
B. 9.1 in
C. 12.6 in
D. 25in
E. 50.2 in

Answers

Radius=r=4in

Circumference

[tex]\\ \tt\hookrightarrow 2\pi r[/tex]

[tex]\\ \tt\hookrightarrow 2(3.14)(4)[/tex]

[tex]\\ \tt\hookrightarrow 6.28(4)[/tex]

[tex]\\ \tt\hookrightarrow 25.12in[/tex]

Answer:

Radius of the circle=4 in

Circumference=?

We know that,

[tex] \purple{Circumference_{(circle)}=2πr}[/tex]

[tex] \displaystyle\purple{Circumference_{(circle)}=2 \times 3.14 \times 4}[/tex]

[tex]\purple{Circumference_{(circle)}=6.28 \times 4}[/tex]

[tex]\purple{Circumference_{(circle)}=25.12 \: in.}[/tex]

hhhhheeeeeellllllppppp pppppllllllzzzzz!!!!!!!!

Answers

Answer:

c

Step-by-step explanation:

Answer:

HMMMMMM

Step-by-step explanation:

i think its b or c

What is the slope (-5,5) and (5,1)

Answers

Answer:

m= - 2/5

Step-by-step explanation:

What is 9867 rounded to the nearest 1000

Answers

Answer:

10,000

Hope it helps

Have a good day

10,000



Hole this helps

Simplify a^5/a^3 and c^4/c^3

Answers

Answer:

Step-by-step explanation:

a^5/a^3 = a^(5-3) = a²

c^4/c^3 = c^(4-3) = c¹

Add the equations. What value belongs in the green box? 3x + 2y = 9 -x - 2y = 4 [?] + [?] = [?] A. 4x B. 2x C. -3x D. -2x​

Answers

Consider the first blank is the green box.

Given:

The equations are

[tex]3x+2y=9[/tex]

[tex]-x-2y=4[/tex]

To find:

The value belongs in the green box

Solution:

We have,

[tex]3x+2y=9[/tex]        ...(i)

[tex]-x-2y=4[/tex]        ...(ii)

Adding (i) and (ii), we get

[tex]3x+2y-x-2y=9+4[/tex]

[tex](3x-x)+(2y-2y)=13[/tex]

[tex]2x+0=13[/tex]

So, the value for the first black is 2x. It means the value belongs in the green box is 2x.

The values of three blanks are 2x, 0 and 13 respectively.

Therefore, the correct option is B.

Answer:

2x + 0 = 13

Step-by-step explanation:

To add the equations, we add the corresponding terms on both sides of the equal sign.

The given equations:

3x + 2y = 9

-x - 2y = 4

Adding the equations term by term:

(3x + (-x)) + (2y + (-2y)) = 9 + 4

Simplifying the equation:

2x + 0 = 13

The term "0" in the equation indicates that the terms (2y and -2y) cancel each other out when added.

PLZ HELP 2/3*2
THXXX

Answers

Answer:

4/3 or 1 1/3

Step-by-step explanation:

2/3 x 2/1 gets you 4/3

That's an improper fraction, so you can simplify it to 1 1/3 if necessary.

A 34-foot pole is casting a shadow that is 17 feet long. How far is the top of the flag pole from the end of the shadow?

Answers

Answer:

108

Step-by-step explanation:

A right triangle has side lengths 5, 12, and 13 as shown below.
Use these lengths to find cos B, tan B, and sin B.
COS
B
13
5
5
tan
A
12
с
Sin

Answers

Answer:

c

Step-by-step explanation:

a. 3in, 4in, 5 in

5^2 ?  3^2 + 4^

25   ?  9 + 16

25   =  25

Because the two sides are equal, this is a right triangle.

b. 5in, 6in, 7in

7^2  ?  5^2 + 6^2

49   ?  25 + 36

49   <  61

Because 49 < 61, this is an acute triangle.

c. 8in, 9in, 12in

12^2  ?  8^2 + 9^2

144    ? 64 + 81

144    < 145

Because 144< 145, this is an acute triangle.

Cos b) 5/13
Tan b) 12/5 or 2 1/6 or 2 2/12
Sin b) 12/13

F(x) = 24/x^2. When x=8

Answers

Answer:

3/8

Step-by-step explanation:

F(8)=24/8^2=24/(8*8)=24/64=3/8

4x³ + 9 + 16x² +4 + 12x³ + 17
combine like terms and order

Answers

Answer:

16x^3+16x^2+30

Step-by-step explanation:

Find the length of the
missing side of the triangle
to the nearest tenth.

Answers

Hey! So you’re gonna need to use the Pythagorean Theorem (a^2 + b^2 = c^2).
You’re looking for one of the legs here, so after inputting the values your equations should look like this: 6^2 + b^2 = 10^2.
Next, find what the numbers squared are: 36 + b^2 = 100.
Then, isolate the variable: b^2 = 64.
Lastly, square root both sides: √b^2 = √64.
You should find the answer is 8.

What is a solution to the inequality m<25

Answers

Answer:

I think the answer is m= -91

Six added to the quotient of 84 and seven

Answers

Answer:

84 divided by 7 is 12 + 6 = 18

The system of equations has .
the options are
1. one solution
2. no solution
3. infinitely many solutions

Answers

Answer: 3. Infinitely many solutions

Step-by-step explanation:

If you simplify the first equation you get the same equation of y=-2 which is infinitely many solutions

The answer is 3, I don’t know how I just need the option to ask someone

Trey is currently in debt and the balance of his account is -$24. If his
sister Catherine is in three times as much debt as he is, what is the balance
of Catherine's account?

Answers

-24 multiply by three equal to -72 this is what I believe

Please teach me how to do this thank youuu.

Answers

Answer:

-10.2

Step-by-step explanation:

To find the equation you have to pick to random points, find the slope, and the y-intercept.

(1,-2) (2,2)

Slope = 2 - - 2 / 2 - 1

Slope = 4 / 1

Slope = 4

an estimate of the y-intercept is -2.2 meaning the function is f(x) = 4x - 2.2

when x is replaced by -2 like the question is requesting f(-2) = 4(-2) - 2.2

f(-2) = -10.2

* i really hope this made sense

-4(y-2)=12
what does y equal

Answers

Answer:

y = -1

Step-by-step explanation:

-4 (y - 2) = 12

1. Multiply: -4y + 8 = 12

2. Subtract: -4y = 4

3. Divide: y = -1

help with rounding off please !:(

Answers

I’m a thief who stole your points lol
The answers are given are below:

Answer:

(a) 3800

(b) 7000

(c) Does unit mean ones place? 31

(d) 82.8

(e) 1000

(f) 0.48

Step-by-step explanation:

simplify the expression
3x +4 +yxy +7y -10x + 6

Answers

Answer:

- 7x + 10 + y² + 7 y

Step-by-step explanation:

Hope this will help

what is the value of x
10= 3x - 6
X=

Answers

Answer:

[tex]x= \frac{16}{3}[/tex]

Step-by-step explanation: Can i get brain plz!

add 6 to both sides of the equation
simply/ 16=3x
divide both sides by 3
x = 16/3

TS is the height of a building. PQR is a pole in front of the building. QT is a horizontal cable that supports the pole to the building. Find the height of the pole?​

Answers

Answer:

The answer is 65.75

Step-by-step explanation:

Since tq is perpendicular to PR then qtsr becomes square

Then

[tex]qr = 30 \: \: \: \: \: and \: qt = 30 \\ [/tex]

Since the triangle pqt is right angled

Then

[tex]pq = qt \tan(50) = 30 \times \tan(50 ) = 35.75[/tex]

Then the height of the pole is equal to

[tex]pq + qr = 35.75 + 30 = 65.75[/tex]

Write a linear equation in slope Intercept form of a line with a slope of -3 and y Intercept of 0​

Answers

Answer:

y=-3x

Step-by-step explanation:

THe equation formula is y=mx+b, with m being the slope and b being the y-intercept. Because the y intercept is 0, you don't need to include it.

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