There are 8 sweets in a box. There are n jelly beans and the rest are cola bottles. Colin takes 2 sweets out of the box at random. Write an expression for the probability of getting 2 cola bottles. Give your expression as a single fraction and simplify fully.

Answers

Answer 1

Answer:

Probability expression = 1 - n/7 - n/8 + n^2 / 56

Probability single fraction based on example = 3/28

Step-by-step explanation:

Total sweets = 8. n jelly beans , 8 - n cola bottles

Prob (getting 1st cola bottle) = Cola bottles / Total sweets = (8-n) /8

Prob (getting 2nd cola bottle) = remaining cola bottles / remaining total sweets = (8 - n - 1) / (8-1) = (7-n) / (7)  

Prob (getting both 1st & 2nd cola bottle) = [ (8-n) /8 ] x [ (7-n) / 7 ]

(1 - n/8) x (1-n/7) = 1 - n/7 - n/8 + n^2 / 56

Eg : 5 jelly beans , 3 cola bottles

Similarly, Prob (2 cola bottles) = 3/8 x 2/7 = 6 / 56 = 3/28


Related Questions

determine the area A(-1,3) , B(-5,3), C (-5,3), D(-1,-2) 1 unit = 1 ft

Answers

Answer:

hi beauty nice to see you baby

Step-by-step explanation:

hehehe

1
[tex] \frac{1}{m - n} - \frac{m + n}{m {}^{2} - n {}^{2} } [/tex]

Answers

Answer:

[tex] \frac{1}{m - n} - \frac{m + n}{m {}^{2} - n {}^{2} } [/tex]

Factor if necessary:

x²-y²=(x+y)(x-y) use this formula

[tex]\frac{1}{m - n} - \frac{m + n}{ {(m + n)(m - n)}}[/tex]

[tex]\frac{1}{m - n} - \frac{1}{ {(m - n)}}[/tex]

Take lcm and subtract:

=0

Answer:

0

Step-by-step explanation:

We need to simplify the given expression . The given expression is ,

→ 1/ ( m - n) - (m + n)/ ( m² - n² )

→ 1/ ( m - n) - ( m + n)/(m+n)(m-n)

Using a² - b² = (a+b)(a-b) Now cancel m+n in numerator and denominator .

→ 1/( m - n) - 1/ ( m - n)

→ 0

Hence the required answer is 0 .

What is 2p + (3q + 2) = (2p + 3q) + 2

Answers

Answer:

associative property of addition

Step-by-step explanation:

2p + (3q + 2) = (2p + 3q) + 2

There are no terms that can be combined since there are no like terms

We are using the associative property to move the parentheses from one  group of terms to the other.

Which statements are true? Select the two correct answers.
The square root of a positive number greater than 1 is less than the number.
The square root of a positive number is always less than half of the number itself.
The square root of a positive number less than 1 is less than the number.
The square root of a perfect square is not a whole number.
The square root of a positive number less than 1 is between 0 and 1.​

Answers

Answer:

5.the square root is positive number lessthan 1 is beteween 0 and 1

1.the square root of a positive number greater than 1 is less thsn number

James invests some money into an account that pays 4% compounded annually. If the account has $851.66 after 5 years, how much did he originally invest?

Answers

Answer:

the third option, "what number, when added to negative four, is equal to negative five?"

Step-by-step explanation:

"what number, when added to negative four, is equal to negative five?" can be expressed as g + (- 4) = - 5, which is the same as in the equation.

i hope this helps! :D comment if you need any clarification.

find the surface area of the figure. no links please.

Answers

Answer:

190

Step-by-step explanation:

10x5x2=100

5x3x2=30

3x10x2=60

100+30+60=190

help ASAP no links, please. send linek= 1 report

Answers

the number point B is at is -0.8

Answer:

-0.8

Step-by-step explanation:

Helppp will give brainly ASAP PLEASE

Answers

Answer:

A) 2500(1+0.03)4

Step-by-step explanation:

Please help me if you can

Answers

Answer:

1. 1/2(5)(2) = 5 yd squared

2. 1/2(6)(8) = 24 ft squared

3. 1/2(12.4)(18) = 111.6 cm squared

4. 1/2(3.5)(6) = 10.5 m squared

If you roll the die 60 times, how many twos can you expect to roll?

Answers

Answer:

10

Step-by-step explanation:

Rolling a single six-sided die, you would get two 1/6th of the time because there is one two out of the six sides.

So 60 rolls would be 60*(1/6)=60/6=10

what is the rate of change ? is y = 6x - 10 a linear or non linear ? explain why ?

Answers

The rate of change is 6.

You can find the rate of change next to the x, in this case 6.

The function is linear because there is a constant rate of change.

find the cube root of 4096​

Answers

Answer:

16

Step-by-step explanation:

Answer:

16 is the answer

Step-by-step explanation:

There are 270 cows on a farm.
a) On the farm
number of bulls : number of cows = 1:30
How many bulls are there?

Answers

Answer:

140

Step-by-step explanation:

Put the cows into groups of 30.
There are 9 groups so there must be 9 bulls.

4x/8x+8 * x^2+8x+7/8x^3

Answers

Answer: if simplifying [tex]7x38+17x22+8x[/tex]

Step-by-step explanation:

Write the polynomial in standard form.
3x + 1 − 4x3 + 6x6 −2x2

Answers

Answer:

23x+1........ .... .........

Help me out guysss!!

Answers

Answer: the other silds are the same

Step-by-step explanation:

finding tenth is not necessary so

Step-by-step explanation:

solution,

given length = 3 m

breath = 10 m

and

height=6 m

Volume=l×b×h

3×10×6

180

so the volume is 180m

hope it helps you have a good day

please mark me as brain list

Explain whether 20/16 is an equivalent ratio to 60/48

Answers

So since 20x3=60 all we have to do is multiply 16 by 3 to find out if it comes out to 48, which in this case it does, so the two ratios are equivalent.

What is the missing angle measure?

Answers

Answer:

x = 33

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°

Subtract the sum of the 2 angles from 180 for x

x = 180 - (90 + 57) = 180 - 147 = 33

what's the 12th multiple of 11

Answers

The 12th multiple of 11 is 12×11
This well give you 132
132 , because that would be 12x11

What is the answer to this question?

Answers

Answer:

Step-by-step explanation:

a-= 7.2 × 10-8

(scientific notation)

= 7.2e-8

(scientific e notation)

= 72 × 10-9

(engineering notation)

(billionth; prefix nano-(n))

= 0.000000072

(real number)

b-= 6.3 × 10-9

(scientific notation)

= 6.3e-9

(scientific e notation)

= 6.3 × 10-9

(engineering notation)

(billionth; prefix nano- (n))

= 0.0000000063

(real number)

c- = 4.56 × 10-5

(scientific notation)

= 4.56e-5

(scientific e notation)

= 45.6 × 10-6

(engineering notation)

(millionth; prefix micro- (u))

= 0.0000456

(real number)

d- = 7.041 × 10-10

(scientific notation)

= 7.041e-10

(scientific e notation)

= 704.1 × 10-12

(engineering notation)

(trillionth; prefix pico- (p))

= 0.0000000007041

(real number)


Find the direction of the given vector. -6,5

Answers

9514 1404 393

Answer:

  140.2°

Step-by-step explanation:

The direction of vector (x, y) is the angle arctan(y/x). The signs of the components tell you this is a 2nd quadrant angle. The arctan function only gives values in the range -π/2 to +π/2, so 180° must be added for 2nd and 3rd quadrant angles.*

  arctan(5/-6) = 180° -39.8° = 140.2° . . . . CCW from the +x axis

_____

* Spreadsheets and some calculators have an ATAN2(x, y) function that uses the signs of the coordinates to give the result in the correct quadrant.

What is the greatest number of right angles a triangle can contain?
#
Choice
A.
1
B.
3
C.
0
D.
2
.

Answers

Answer:

A) 1

Step-by-step explanation:

a triangle has 180° and a right angle has 90°

triangles have 3 angles

2 right angles would make up 180° therefore, it can only contain 1 right angle

Answer:

There can be only 1 right angle(90°) so answer A

Step-by-step explanation:

If a triangle is equal to 180 °

And each right angle is equal to 90°

Then there can be 2 or 3 becouse if it was 2 it would be a full 180° but we still need 1 more corner and if it would be 3 right angles then it would be 270 with is way farther then the capability of a triangle.

PLEASE HURRY!!

What is the vertex of the function f(x)=x^2+12x?

A) (-6, -36)

B) (-6, 0)

C) (6,0)

D) (6, -36)

Answers

Answer:

it's a

Step-by-step explanation:

use desmos, if you can :)

Answer:

it is A) (-6, -36)

Step-by-step explanation:

if the volume of a cube is 1728cm^3 find its length of its side​

Answers

Answer:

it's a very easy one and it's answer is 1728

Answer:

[tex]12 \: cm[/tex]

Step-by-step explanation:

[tex]Given, volume \: of \: cube  = 1728 {cm}^{3} [/tex]

[tex]Let \: x \: be \: the \: side \: of \: the \: cube.[/tex]

[tex]Volume \: of \: the \: cube  = {x}^{3} [/tex]

[tex] {x}^{3} = 1728 {cm}^{3} [/tex]

[tex]x = \sqrt[3]{1728} [/tex]

[tex]x = 12 \: cm[/tex]

Hope it is helpful....

Please help me in maths

Answers

Answer:

below, and I hope that this helps you solve it.

Step-by-step explanation:

So what you would want to do is do this.

10×10= 100 + 5×10= 50 + 3×10=30 + 5×3=15

So now you want to add, so add

100 + 50 + 30 + 15 and that would equal to 195 and now you want to divide 195 ÷ 2 and that would equal to 97.5

5. The owner of a bookstore developed a model for determining the price of rare comic books.
The price, P, of each book should vary directly with the number of people, N, that have
requested the book and inversely to the number of such books in existence, M. If N = 10 people,
M = 10,000 copies, and P = $5, then find P for N = 200 people and M = 100 copies.

Answers

Answer:

$\$ 10, 000 is the answer I think so

Generate a frequency table for the following data: 3, 12, 25, 2, 3, 6, 17, 17, 15, 13, 20, 12, 21, 18, 19.
Use the ranges listed in the table below:

Range Number of Values Relative Frequency
1 – 5
6 – 10
11 – 15
16 – 20
21 – 25


What is the relative frequency for the range 11 – 15?

Answers

Answer:

The relative frequency for the range 21-25 is 0.13 approximately.

Step-by-step explanation:

plz do tell me if i need to explaine

The frequency table is made and the Relative frequency for the range 11 – 15 is 0.2 .

What is Frequency ?

Frequency is the number of times any event is occurring .

The data set is given

The frequency table under the given interval is

Interval                       Frequency

1 - 5                                     3

6 - 10                                   1

11 - 15                                   4  

16 -20                                  5  

21 - 25                                 2

Relative frequency is given by = Subgroup Frequency /  (  Total Frequency)

Relative frequency for the range 11 – 15  = 4 / 20 = 1/5 = 0.2

Therefore the frequency table is made and the Relative frequency for the range 11 – 15 is 0.2 .

To know more about Frequency

https://brainly.com/question/5102661

#SPJ2

Please answer correctly !!!!! Will mark Brianliest !!!!!!!!!!!!!!

Answers

Answer:

Option A

Step-by-step explanation:

Because the cosine of beta is : cos(B) = BC/AB

can someone please help me with this, and please only comment if ur sure, Thank you <3

NO LINKS OR YOU WILL BE REPORTED

Answers

exponential

the equation is
y = 12,800 (0.5)^x

In golf shooting par is scored as a 0. A score of 2 below par is called an eagle. Jacobs friend Michelle scored an eagle on each of her first five holes. Explain how you would use addition to find the product of-2 and 5 using the integer tiles and the number line

Answers

Answer:

Kindly check explanation

Step-by-step explanation:

Using the integer tiles :

Drawing 2 tiles each time an eagle is obtained, this gives:

-2 + - 2 + - 2 + - 2 + - 2 = - 10

Using the number line,

Each unit on the number line = - 2

Any time an eagle scored ; take a unit step to the left.

This give ls a unit step 5 times

-2 + - 2 + - 2 + - 2 + - 2 = - 10

Using direct multiplication :

-2 * 5 = - 10 as it means - 2 in 5 places ; similarly, scoring - 2 five times will give - 10

Also note :

Either - 2 * 5 or - 5 * 2 is the same due to commutativity property of multiplication

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