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

You roll a 6-sided number cube with faces numbered 1-6. What is (P)5?

Answers

Answer:

1/6

Step-by-step explanation:

I think it’s 1/6
I hope it’s help

w(x) = −3x− 4; Find w(7)

Answers

Step-by-step explanation:

Given

w(x) = - 3x - 4

Now

w(7) = - 3 * 7 - 4

= - 21 - 4

= - 25

Hope it will help :)❤

A cylinder made of lead has a height of 4 inches and a diameter of 2 inches. How heavy is the cylinder if lead weighs 0.4 pound per cubic inch? Round to the nearest tenth.

Answers

Answer:5.0

Step-by-step explanation:

The volume of a cylinder is [tex]\pi r^2h[/tex], since the radius is 1/2D, 2/2=1. Now, if [tex]\pi[/tex] is rounded to 3.14, the volume of the cylinder would be 1 x 1 x 3.14 x 4 = 12.56. Now, since there are 0.4 pound per cubic inch, 12.56 x 0.4 = 5.024. Rounded to tenth, the answer is 5.0 or 5.

Hope this helps!

Why is the length of the base of the rectangle the same as the circumference of the circles in the net of a cylinder?

Answers

Answer:

The width of the rectangle is the same as the length of the cylinder (h). The area of each of the two circles is \\ (\\pi r^2\\) and the area of the rectangle is \\ (2 \\pi r times h\\).

Step-by-step explanation:

3+(-4)-8(-1) can you help me

Answers

Answer:

7

Step-by-step explanation:

A file is 261 megabytes is being downloaded. If the download is 14.1% complete, how many megabytes have been downloaded? Round your answer to the nearest tenth.

Answers

Answer:

36.80

Step-by-step explanation:

261 x .141 = 36.801

What is m
A: 19°
B: 68°
C: 112°

Answers

Answer:

m<N=68

Step-by-step explanation:

opposite angles of the parallelogram are equal(or congruent):

4x+36=6x-2

6x-4x=36+2

2x=38

x=38/2=19

the sum of the angles of the parallelogram =360

4x+36=4(19)+36=112 angle P

6x-2=6(19)-2=112 angle M

let Q= N=x

2x+112+112=360

2x=360-224

2x=136

x=136/2=68

Write the quadratic in standard form (x-8)^2 and please explain how you got it if u can cuz im trying to learn .

Answers

Answer:

[tex]x^{2} -16x +64 = 0[/tex]

Step-by-step explanation:

[tex](x-8)^{2}[/tex] is the same as saying [tex](x-8)(x-8)[/tex]

therefore, you use FOIL(first outside inside last) to get

[tex]x^{2} -8x-8x+64[/tex]

which is [tex]x^{2} -16x +64 = 0[/tex] in standard form

100 m
100 m
120 m
Which is the height of the triangle?
O A. 40 m
B. 60 m
O C. 80 m
D. 100 m
O e 110 m

Answers

B. 60 m is the height of the triangle

Answer:

B. 60m

Step-by-step explanation:

i took the test

THINK ABOUT WHETHER THEY ARE ASKING FOR CURCUMFERENCE OR AREA If you want to Make sure to have the most pizza which would you rather two 12 inch medium or one 18 inch large. Justify your answer mathematically

Answers

Answer:

The maximum pizza quantity would be with the pizza of 18 inch

Step-by-step explanation:

The size of the pizza in inches depicts its diameter.

Thus, 12 inch pizza means diameter of the pizza = 12 inch and 18 inch pizza means diameter = 18 inch

In case of either the CURCUMFERENCE OR AREA, the pizza with larger diameter will have larger CURCUMFERENCE and AREA as compared to the pizza with smaller diameter.

For instance

Area of 18 inch pizza

[tex]\pi * (18/2)^2\\= 254.34[/tex]Square inch

Area of 12 inch pizza

[tex]\pi * (12/2)^2\\= 113.04[/tex]Square inch

Circumference of 18 inch pizza

[tex]2*3.14*9 = 56.52[/tex]

Circumference of 12 inch pizza

[tex]2*3.14*6 = 37.68[/tex]

7. What is the interquartile range for the following list of data?
1, 13, 15, 4, 1, 12, 6, 12, 6

Answers

Answer:

10

Step-by-step explanation:

1, 1, 4, 6, 6, 12, 12, 13, 15

[tex]LQ=\frac{9+1}{4} =2.5 term= \frac{1+4}{2}=\frac{5}{2}=2.5\\UQ= 3(\frac{9+1}{4}) =7.5 term= \frac{12+13}{2}=\frac{25}{2}=12.5\\IQR=UQ-LQ=12.5-2.5=10[/tex]

A car travels for 2 hours 15
minutes at an average speed
of 64 mph. Calculate the
distance travelled.

Answers

Answer:

231.746 km

Step-by-step explanation:

Formula: [tex]distance = speed[/tex] × [tex]time[/tex]

Solution: To solve for distance use the formula for distance

Rate and speed are similar since they both represent some distance per unit time like miles per hour or kilometers per hour. If rate r is the same as speed s, r = s = d/t. You can use the equivalent formula d = rt which means distance equals rate times time.

Firstly, convert the time from hours to minutes

2 hr 15 min = 2.25 hr

or 2.25 hr = 135 min

Now, use the formula:

135 × 64 = 8640

In km, the distance traveled is 231.74

What is the volume of the square​ pyramid? 11cm and 11cm

Answers

Answer:

1331 feet3

Step-by-step explanation:

Answer:

V = (1/3)(121 in^2)(11 in) = 443.7 in^3

Step-by-step explanation:

If the side length of the square base is 11 cm, then the area of that base is (11 cm)^2, or 121 cm^2.  If the height of the pyramid is 11 cm (as you seem to indicate), then the volume of the squre pyramid is

V = (1/3)(121 in^2)(11 in) = 443.7 in^3

A motorcycle can go 50 miles on 1 gallon of gas. How many gallons will be used to go 150 km? I mile is about 1.6 km. Round to the nearest gallon.

Answers

Answer:

1.875 gallons

Step-by-step explanation:

Data

distance = 50 mi

volume of gas = 1 gal

volume for 150 km = ?

Process

1.- Convert 50 mi into kilometers

                        1 mile ------------------- 1.6 km

                         x        ------------------ 150 km

                         x = (150 x 1)/1.6

                         x = 93.75 mi

2.- Calculate the gallons wasted

                         1 gallon ----------------- 50 mi

                         x            ---------------- 93.75 mi

                         x = (93.75 x 1)/50

                         x = 93.75/50

                        x = 1.875 gallons

16 points helllppppppppppppppp

Answers

12.3, the mean is the biggest number of the group

Subtract (5u + 6v) from (8u + 10v)

Answers

Answer:

-3u-4v

Step-by-step explanation:

5u+6v-(8u+10v)

=5u+6v+-1(8u+10v)

=5u+6v+-1(8u)+-1(10v)

=5u+6v+-8u+-10v

(combine like terms)

=5u+6v+-8u+-10v

=(5u+-8u)+(6v+-10v)

=-3u-4v

hope this helps

can you mark me brainliest pls

The value of the subtraction will be equal to -3u-4v.

What is an expression?

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that the two expressions are (5u + 6v) and (8u + 10v). The subtraction will be calculated as,

5u+6v-(8u+10v)

S =5u+6v+-1(8u+10v)

S =5u+6v+-1(8u)+-1(10v)

S =5u+6v+-8u+-10v

(combine like terms)

S =5u+6v+-8u+-10v

S =(5u+-8u)+(6v+-10v)

S =-3u-4v

Therefore, the value of the subtraction will be equal to -3u-4v.

To know more about an expression follow

https://brainly.com/question/25207082

#SPJ2


[tex] \frac{5}{6} \times \frac{7}{8} \times 1 \frac{5}{7} [/tex]

Answers

Answer:

5/4 or 1 1/4 will be your answer!

Step-by-step explanation:

oki, so let's simplify first ofc, then multiply.

5/6 x 7/8 x 12/7 =

35/48 x 12/7 =

420/336=(gcf of 420 and 336 is 84)

5/4=

1 1/4

In 20P9, how many choices are
there for the second batter if the
total number on the team is 20?
(Only 9 players will be in the lineup.)

Answers

Answer:

The answer is 19.

Step-by-step explanation:

Theres already a first batter which means that there are only 19 people that can be second batter

SOMEONE HELP ME PLZ
.

Answers

Top is 90 62 152 middle row is 184 16 200 bottom row is 274 78 352

You get 90 by doing 274-184=90
You get 152 by doing 90+62=152
You then get 200 by doing 352-152
Then you get 16 by doing 200-184
You then get 78 by doing 62+16

what is 9-x/5=3?
I kept getting 6 but the only option is -6 :/

Answers

Step-by-step explanation:

[tex]9 - \frac{x}{5} = 3 \\ 9 - 5 \times \frac{x}{5} = 3 \times 5 \\ 9 - x = 15 \\ - 9 - x = - 9 + 15 \\ - x = 6 \\ - x \div - 1 = 6 \div - 1 \\ x = - 6[/tex]

Answer:

Yeah the answer is -6

Step-by-step explanation:

9-x/ 5= 3

9-x = 15 (5 times three)

-x = 6 (9-6)

x= -6 ( a variable can never Be negative, but we have to give the minus to 6)

I hope this helps!

Ria is 6 years older than her brother. Fourteen years ago, she was twice as old as he was. How old is each now?

Answers

answer:
ria is 18 and the brother is 12.

Answer

ria is 26 and her brother is 20

pls help and show work! giving brainliest and thanks :)

Answers

Answer:

Step-by-step explanation:

mean : added up the values and divide the result by the number of the values

Mr Jones = (5 + 6.25 + 5.75 + 6.50 + 8)/5 = $6.30

Mrs Jones = (5.50 + 7 + 6.25 + 5.75 + 7.75)/5 = $6.45

The difference between the two mean is 15 cents or $0.15

If one of the 50 states is chosen at random, then a dice is rolled. Find the probability of getting a state that starts with the letter A and a number less than 3. Pls, help me this is due by tomorrow at 8 am!

Answers

Answer:  2/75

Note: 2/75 = 0.0267 = 2.67% approximately

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

Explanation:

The states that start with "A" are:

AlabamaAlaskaArizonaArkansas

We have four states out of 50 total. The probability of picking a state that starts with "A" is 4/50 = 2/25.

When rolling a single die, the possible outcomes are {1,2,3,4,5,6}. The subset {1,2} represents any time we roll less than three. There are 2 ways to roll less than three, out of 6 ways total. So we have a probability of 2/6 = 1/3 here.

We'll multiply the fractions to get our answer:

(2/25)*(1/3) = (2*1)/(25*3) = 2/75

I don’t understand it help and add a explanation for me pls :}

Answers

the scale factor is 8, because 12 x 8 equals 96, and you’re gonna multiply 8 on the other numbers as well if you have to

What does 2π/3 equal and cos2π/3 equal?

Answers

Answer:

Step-by-step explanation:

2π/3 radians is equivalent to

  2π       180°

-------- * ---------- = 120°

    3        π rad

This angle (120°) is 30° past 90°.  The 'opposite side' of the triangle formed by this ray of length 1 is √3 and the 'adjacent side' is 1.  

                                                                 adj side          -1

cos 120° is in Quadrant II.  cos 120° = --------------- = ---------

                                                                       hyp             2

                         √3

and sin 120° = --------

                            2

Samantha measures the perimeter of a common shape.
One of the sides is 6 inches long, and the perimeter is 24 inches.
If all of the sides are the same length, what shape does Samantha measure?

Answers

Answer:

Square

Step-by-step explanation:

24÷6

=4

Squares have 4 sides

A man is filling an empty 5-gallon bucket with water at a constant rate. There are
2.4 gallons of water in the bucket after filling the bucket for 12 minutes. At what
rate, in gallons per minute, is the man filling the bucket?

Answers

Answer:

12 / 2.4 = 5

Step-by-step explanation:

So the man is filling the bucket at 5 gallons per minute.

Dont trust me I just did the math and that is what I got....

Sorry if it's wrong

Alan bought 16 cupcakes for
his class. Each cupcake costs
$1.49. How much did he
spend on cupcakes?

Help

Answers

the answer is $23.84. 16 x 1.49 = 23.84

I AM GIVING OUT BRAINLIST

Answers

Tenth place is the answer!! :))

Step-by-step explanation:

18.706 → 19

18.706 → 18.71

18.706 = 19

18.706 = 18.71

the radius of a circle is (x-3)m. find the area of the circle

Answers

Answer:

πx² -6πx + 9π

or

π(x² - 6x + 9)

Step-by-step explanation:

area = πr² = π(x-3)² = π(x² - 6x + 9) = πx² - 6πx + 9π

Other Questions
Negative Message AssignmentAs a Business Manager of a very well- reputed publishing house ,you signed an agreement with M/S Degree College to supply them all publishing materials within 1.5 months 'time. Now you find that it is almost impossible to supply their order within due date as 30 days have already passed ,but one-third of the printing work is still to be done.Draft a letter to the Director Administration of the college ,informing about the current situation and offer an acceptable solution to the problem. Assume necessary details. You should write about 150-200 words. WILL GIVE YOU A BRAINLISTHow do actors and directors use theatrical elements to create a dramatic interpretation? Jade uses $30 from her checking account to donate money to her favorite charity. Will this be a deposit or awithdrawal when she enters the information into her check register? Explain 1. Please give THREE SPECIFIC reasons why the character Tim OBrien believed theVietnam War was morally wrong? | Which best describes relationship between the two characters The adventure of Sherlock Holmes. A square has an area of 49in^2. If the same amount is added to the length and removed from the width, the resulting rectangle has an area of 45in^2. Find the dimensions of the rectangle Round your answer to the nearest tenth, when appropriate Which type of credit is most likely to be unsecured? auto loanscredit cardsmortgage loanspersonal loans] How much Pb(NO3)2 would need to be added to 100 mL of water to make a saturated solution at 40C. The solution to a problem is an irrational number. Which statement is true about the solution? Ask me anything and I'll answer How many moles of gallium chlorate, Ga(ClO3)3, must react in order to produce 674 kJ of energy according to the following reaction? 2 Ga(ClO3)3 2 GaCl3 + 9 O2 DH = - 130.4 kJ What x and y equal to how did Rutherford discover proton? in 5 games a basketball team scored 82, 42, 75, 97, and 86 points what is the *median* of the scores? Type your answer below RIGHT NOW state five ways in which tropical rainforest may be conserved help meeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee Me gusta trabajar y estudiar. No soy perezosa.True Or False. 2500 in standard form Please Help Me!!! You had a bag of fruit snacks that you shared with 3 friends. Each of you got no more than 6 fruit snacks. The inequality x46 models this situation. Solve the inequality to find the number of fruit snacks that were in the bag. There were no more than____fruit snacks in the bag. What word BEST describes the tone of the following sentence?"These books offer a safety net, a place where kids 'flirt with those questions without getting into trouble."" A Reassuring B. Destructive C. Jubilant D. Discouraging