A bag contains n counters. one counter is blue and the rest are red. Two counters are taken at random from the bag. a) express, in terms of n, the probability that a counter of each colour is taken. Give your answer as a fraction. b) the probability that a counter of each colour is taken is 0.125. How many red counters are in the bag?

Answers

Answer 1

Answer:

A] Probability = 1/n ; B] Number = 8

Step-by-step explanation:

Total counters = n , Blue counter = 1 , Red counters (remaining) = n -1

A] Prob (One blue, & One red counter) = (Blue counter / Total counters) x (Red counters / Total remaining counters) = [1 / n] x [ (n -1) / (n-1)] = 1 / n

Alternative, Prob  (One red, & one blue) = (Red counter / Total counters) x (Blue counters / remaining counters) = [ (n-1) / n ] x [1 / (n-1) ]  = 1 / n

B] Prob (each color , a blue & red counter taken) = 0.125  {Given}

By A], this Prob = 1/n.

So, 0.125 = 1/n → n = 1 / 0.125 = 8


Related Questions

If two sides in a triangle are congruent, the angles opposite the congruent sides are congruent angles.

True or False

Please make an answer and give brainliest and more points to 100 need it please!
Thank you

Answers

Answer:

True

Step-by-step explanation:

Two triangles are congruent if they satisfy any of the following:

Two sides and the included angle of one triangle equal to the corresponding parts of the other one.

Two angles and the included side of one triangle equal to the corresponding parts of the other one.

All three sides of one triangle equal to the corresponding parts of the other one.

They are right triangles, and hypotenuse and one leg of one triangle equal to the corresponding parts of the other one.

They are right triangles, and hypotenuse and one acute angle of one triangle equal to the corresponding parts of the other one.

Therefore, the answer is true.

Nice Question

Answer To It is True

Reason:- According To Isosceles Triangle Theorem:-

If two angles of a triangle are congruent, then sides opposite those angles are congruent.

Hope This Helps You ❤️

ITS FOR A TEST PLS HELP
Alyssa is trying to pick out an outfit for the first day of school. She can choose
from 4 pairs of pants, 8 t-shirts, 8 sweaters or hoodies, and 5 pairs of shoes.
How many different outfits does Alyssa have to choose from?

Answers

She can choose from 1280 outfits

4x8x8x5 = 1280

The number of different outfits is 1280

How to determine the number of different outfits?

From the question, we have the following parameters that can be used in our computation:

8 pairs of pants, 6 t-shirts, 6 sweaters or hoodies, and 2 pairs of shoes

The number of different outfits is equal to the products of the count of each apparel.

This is represented as;

Different outfits = Pants * T-shirts * Sweaters or hoodies * Pairs of shoes

Substitute the known values in the above equation;

Different outfits = 4 x 8 x 8 x 5

Evaluate;

Different outfits = 1280

Hence, there are 1280 different outfits

Read more about combination at;

brainly.com/question/11732255

#SPJ2

Pls help!!!!
Find the center, vertices, foci, and asymptotes of the hyperbola. 9y^2-36x^2=324

Answers

Answer:

Center: (0, 0)

Vertices: (0, 6), (0, -6)

Foci:  (0, 3√5), (0, -3√5)

Asymptotes: y = 2x, y = -2x

Step-by-step explanation:

N 3 rows of 5. Colleen used tiles that measured 1 2 3 cm in length. Caroline used tiles that measured 3 1 3

Answers

Complete question :

Colleen and Caroline each built a rectangle out of square tiles placed in 3 rows of 5. Colleen used tiles that measured 1 2/3 cm in length. Caroline used tiles that measured 3 1/3 cm in length.

a. Draw the girls’ rectangles, and label the lengths and widths of each.

b. What are the areas of the rectangles in square centimeters?

c. Compare the areas of the rectangles.

Answer:

Colleen = 41.667 cm²

Carolina = 166.667 cm²

Carolina's rectangle is larger Than Collen's

Step-by-step explanation:

To start with, we determine the total number of tiles used

3 Rows of 5 ; 3 in 5 places = 15

Length of collen's square tiles : 1 2/3 = 5/3

Area of collen's square tiles = square of side length, = (5/3)² = 25/9

Area of rectangle formed = area of square * number of tiles

(25 /9) * 15 = 41.667 cm²

Length of carolina's square tiles : 3 1/3 = 10/3

Area of collen's square tiles = square of side length, = (10/3)² = 100/9

Area of rectangle formed = Area of square * number of tiles

(100/9) * 15 = 166.667 cm²

Carolina's rectangle is larger Than Collen's

The segments shown below could form a triangle.
help please :)

Answers

That’s false because two lines are to short so it’s false

Answer:

The answer is false! :)

Solve (3^p times 81 = 9) for p

Answers

Answer:

p = -2

Step-by-step explanation:

Start by dividing both sides by 81 to get the power by itself.

[tex]3^p \cdot 81 = 9\\\\3^p=\frac{9}{81}=\frac{1}{9}[/tex]

Write the fraction using a power of 3.

[tex]3^p=\frac{1}{3^2}\\\\3^p=3^{-2}\\\\p=-2[/tex]

This assumes you know about negative exponents:  [tex]a^{-n}=\frac{1}{a^n}[/tex]

Marking brainliest


What is your favorite form of getting exercise?

Answers

Answer: Playing sports!!

If the volume of this cube (15 cm and 5 cm) is 525 cm3,then the length of the missing side is what cm?

Answers

Its 7


Just multiply 15 and 5 which gives you 75. Take 525 and divide it by 75 and you get 7. You can check your answer by multiplying (what you got for your answer) x 5, then that result is multiplied by 15 and you should get 525.


Hope it helps :D

100 ÷ 10 • 2 • 4 ÷ 2
40
0.625
20
10

Answers

Answer:

40

Step-by-step explanation:

100/10*2*4/2

10*2*4/2

20*4/2

20*2

40

If this helps please mark as brainliest

Answer:

40

Step-by-step explanation:

100/10=10

10*2=20

20*4=80

80/2=40

what is 4,000,000 + 800,00 + 10,000 + 2,000 + 400 + 80 + 9 in standard form?

please help asap​

Answers

Answer:

4,812,489

Step-by-step explanation:

Answer:

408,12,489

Step-by-step explanation:

hope it helped you

Find the distance speed=96km/h time=20 mins

Answers

Answer:

32km

Step-by-step explanation:

speed=96km/h

time=20mins=1/3hour

Distance=Speed×Time

➜96×1/3

➜96/3

➜32km

The circus admits children for $2 each and adults for $5 each. How many of each ticket were sold if 160 total tickets were sold for $476? Please I need an answer ASAP

Answers

Answer:

adults = 52

children = 108

Step-by-step explanation:

two equations can be derived from the question

x + y = 160 equation 1

2x + 5y = 476   equation 2

x = number of children

y = number of adults

multiply equation 1 by 2

2x + 2y = 320  equation 3

subtract equation 1 from 2

3y = 156

y =52

substitute for y in equation 1

x + 52 = 108

x = 160 - 52 = 108

PLEASE HELP

the balance on an 8 year loan is 9,768. if the simple interest rate is 4% what did the principal borrow​

Answers

Answer:

Step-by-step explanation:

what

PLEASE HELP ME WITH QUESTIONS 1 AND 2! NO LINKS OR SPAMS!!! THANKS!!!!!!!!!​

Answers

Confused lol... can u give me more information

ASAP

(AND HOW DID YOU GET THE ANSWER)

- Will mark brianist

Answers

its c

Step-by-step explanation:

Answer:

A) The mean would increase

Step-by-step explanation:

Let measure of angle B be 18 degrees and BC = 9. Find the length of AC, BA and the measure of angle C. Round to 1 decimal place when needed. Show all of your work.

Answers

Answer:

m∠C = 72°

BA = 8.6

AC = 2.8

Step-by-step explanation:

We can start by finding the sum of all angles in a triangle to find angle C. The sum of all angles is 180°, so we can write the equation:

m∠A + m∠B + m∠C = 180°

And substitute what we have:

90° + 18° + m∠C = 180°

108° + m∠C = 180°

m∠C = 72°

In order to find the side BA, we can use trig functions. We are given the hypotenuse and we are looking for the side adjacent to ∠B. The trig function that relates the two is cosine. We can set up the equation as follows:

cos(∠B) = [tex]\frac{BA}{BC}[/tex]

cos(18°) = [tex]\frac{BA}{9}[/tex]

9 * cos(18°) = BA

BA ≈ 8.559508647

And when we round, we get:

BA = 8.6

In order to find the side AC, we can use trig functions. We are given the hypotenuse and we are looking for the side opposite to ∠B. The trig function that relates the two is sine. We can set up the equation as follows:

sin(∠B) = [tex]\frac{AC}{BC}[/tex]

sin(18°) = [tex]\frac{AC}{9}[/tex]

9 * sin(18°) = AC

AC ≈ 2.781152949

We can round this to:

AC = 2.8

At the end of her work day at the Ferguson Corporation, Sarah usually

walks to the subway station to travel home. Today, she is walking to the

Springdale Town Center first to take care of some errands. She will then

continue walking to the subway station to travel home. The map of these

routes is shown below.

2000 feet

Subway

Ferguson

Corporation

Station

Springdale

Town Center

If Sarah walks to the Springdale Town Center from the Ferguson

Corporation and then to the Subway Station, how much farther will she

walk than if she walks directly to the Subway Station from the Ferguson

Corporation? Show all of your work.

Answers

Answer:

1263.7032 feets

Step-by-step explanation:

Distance from Ferguson corporation to Springdale Town center ; let the distance = x

Using trigonometry :

Tanθ = opposite / Adjacent

Tan 27 = x / 2000

0.5095254 * 2000 = x

1019.0508 feets

Distance from Springdale to Subway station, this is the hypotenuse :

Hypotenuse = √(1019.0508² + 2000²)

Hypotenuse = √5038464.7

Hypotenuse = 2244.6524 feets

Total distance walked from Ferguson to Springdale, then to Subway ;

(1019.0508 + 2244.6524) feets = 3263.7032 feets

Additional distance walked :

(3263.7032 feets - 2000 feets) = 1263.7032

In this exercise we have to calculate the distance knowing about the laws of a triangle, so we have to:

[tex]H=1263.7032 feets[/tex]

We can use the definition of tangent to calculate:

[tex]Tan\theta = opposite / Adjacent\\Tan 27 = X / 2000\\0.5095254 * 2000 = X\\=1019.0508 feets[/tex]

Now using the Pythagorean theorem we have:

[tex]H = \sqrt{(1019.0508^2 + 2000^2)}\\H = \sqrt{5038464.7}\\H = 2244.6524 feets\\(1019.0508 + 2244.6524) = 3263.7032 feets\\(3263.7032 feets - 2000 feets) = 1263.7032[/tex]

See more about triangles at brainly.com/question/2269348

TEXAS Test Prep
Which equation represents the fraction of beads that are green or yellow?

⚫⚪⚫⚫⚫⚫⚫⚫

A. 1/2 + 1/4 = 3/4
B. 1/4 + 1/8 = 3/8
C. 1/2 + 1/8 = 5/8
D. 3/4 + 2/8 = 1​

Answers

Answer:

1/8 + 1/2 = 5/8

Step-by-step explanation:

Total number of beads = 8

Number of green beads = 4

Number of yellow beads = 1

Fraction of green beads :

Number of green / total number of bead = 4 / 8 = 1/2

Fraction of yellow beads :

Number of yellow / total number of bead = 1 / 8

Number of green or yellow bead :

1/8 + 1/2 = (1 + 4) / 8 = 5/8

Find the probability of picking 2 blue marbles when 2 marbles are picked (with replacement) from a bag containing three blue and one yellow marbles

Answers

Answer: 0.5

Step-by-step explanation:

Given

There are 3 blue and 1 yellow marble

The chance of picking two marble out of 3 is [tex]^3C_2[/tex]

The total no of ways of picking 2 marbles out of 4 is [tex]^4C_2[/tex]

Therefore, the probability of picking 2 blue marbles

[tex]\Rightarrow P=\dfrac{^3C_2}{^4C_2}\\\\\Rightarrow P=\dfrac{3\times 2}{4\times 3}\\\\\Rightarrow P=\dfrac{1}{2}[/tex]

look at the screenshot pls help

Answers

Answer:

A = 6

B = 5.5

Step-by-step explanation:

16/8 = 2 so just multiply by 2 for 3, and divide by 2 for 11

yes

Step-by-step explanation:

Which expression is equivalent to csc x – sin x?

a.
cos^2x/sinx
c.
sin x – cos x
b.
sin x + cos x
d.
cos^2x + sin^2x

Answers

ANSWER : A
good luck :)

Answer:

a edge 2021

Step-by-step explanation:

One thing you learned about slopes

Answers

Answer:

one thing that I learned about slope is the rise over run and y2-y1 over x2-x1

Step-by-step explanation:

Answer:

That if 2 coordinate points are given we can use the formula of; [tex]\frac{y_2 - y_1}{x_2 - x_1}[/tex] to find the slope passing through those points

Hope this helps!

what's the value of x?

Answers

Answer:

x=40

Step-by-step explanation:

Reflections have to be equal to each other.

Therefore, the equation is going to be 3x-6=114. This is equal to 3x=114+6. This is equal to 3x=120. x=120/3. x=40. Therefore, x=40.

If this helps please mark as brainliest

Answer:

X=40   pls mark brainlist it would really help

Step-by-step explanation:

3x-6 must equal 114. So...

3x-6=114

+6      +6

3x=120

/3     /3

x=40

Find the surface area of the triangular prism shown below. 5ft 5ft 3ft 7ft 8ft .

Answers

Answer:

30ft

Step-by-step explanation:

CAN SOMEONE DO THIS FOR ME I WOULD REALLY APPRECIATE IT

Answers

Answer:

ugh

Step-by-step explanation:

Simplify:
3x2 – 2x + 1 = [?]
x=2

Answers

Answer:

9

Step-by-step explanation:

3×2² -2×2 +1 = 3×4-4+1=12-4+1=9

Answer:

9

Step-by-step explanation:

Substitute x = 2 into the expression

3(2)² - 2(2) + 1

= 3(4) - 4 + 1

= 12 - 4 + 1

= 8 + 1

= 9

For the triangle above, write the correct part of the triangle (opposite, adjacent, otr hypotenuse)

For the triangle above, write the trigonometric ratio for each function. (Use “/” for fraction bar)

Will give brainliest

Answers

Answer:

this is the answer please give brainliest

What is the value of X in the equation x²-6x+9=25

Answers

Answer:

X = -2 or X = 8

Explanation:

Urgent!!
According to the graph, what is the factorization of x2 - 5x + 6?
y=x2.5x+6
A. (x - 3)(x + 2)
B. (x+3)(x - 2)
C. (x - 3)(x - 2)
D. (x+3)(x + 2)

Answers

Answer:

If you still need the answer it’s c

Step-by-step explanation: The zeros of the graph are 2 and 3 , which is where the graph crosses the x axis,

The factorization is the form

(x-a) (x-b) where a and b are the zeros

(x-3) (x-2)

You spin a spinner labeled 1-10 evenly. what are the chances you will get an odd number?

Answers

Answer:

1/2

Step-by-step explanation:

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