Sara has 20 sweets. She has 12 liquorice sweets, 5 mint sweets and 3 humbugs. Sarah is going to take, at random, two sweets Work out the probability that the two sweets will not be the same type of sweet. Any help will be great! Thanks.

Answers

Answer 1

Answer:

111 / 190

Step-by-step explanation:

Let us first compute the probability of picking 2 of each sweet. Take liquorice as the first example. There are 12 / 20 liquorice now, but after picking 1 there will be 11 / 19 left. Thus the probability of getting two liquorice is demonstrated below;

[tex]12 / 20 * 11 / 19 = \frac{33}{95},\\Probability of Drawing 2 Liquorice = \frac{33}{95}[/tex]

Apply this same concept to each of the other sweets;

[tex]5 / 20 * 4 / 19 = \frac{1}{19},\\Probability of Drawing 2 Mint Sweets = 1 / 19\\\\3 / 20 * 2 / 19 = \frac{3}{190},\\Probability of Drawing 2 Humbugs = 3 / 190[/tex]

Now add these probabilities together to work out the probability of drawing 2 of the same sweets, and subtract this from 1 to get the probability of not drawing 2 of the same sweets;

[tex]33 / 95 + 1 / 19 + 3 / 190 = \frac{79}{190},\\1 - \frac{79}{190} = \frac{111}{190}\\\\[/tex]

The probability that the two sweets will not be the same type of sweet =

111 / 190


Related Questions

What fraction is greater 6/8 or 3/2

Answers

Answer: 3/2

Explanation: 3/2, or 1 1/2 is an improper fraction, while 6/8, or 3/4 is just a fraction.
So, 3/2 > 6/8

Answer:

3/2

Step-by-step explanation:

3/2 is greater than 1. 6/8 is less than one.

help me pls if you the question

Answers

Answer:

[tex]90= 2 \times 3^2 \times 5[/tex]

Step-by-step explanation:

[tex]90= 2 \times 3 \times 3 \times 5[/tex]

[tex]90= 2 \times 3^2 \times 5[/tex]

Answer:

2,3,5

What does prime number mean?

=> A prime number is a number which can be written only as a product of 1 and itself.

Please see the attached picture

Hope it helps..

Good luck on your assignment..

what is the length of a 135 arc

Answers

Answer:

3 km

Step-by-step explanation:

Arc length formula:  s = rФ, where Ф is the central angle in radians.

Here the arc length is s = (4 km)(135π/180) = 3 km

Isabella changes 700 euros to pounds sterling for her trip to England. The exchange rate is 1 euro = £0.72 How many pounds will she get?

Answers

Answer:

700/1=700

Th ratio is 700 times more so we multiply by 700

700 x 0.72 = 504

504 pounds

Hope this helps

Step-by-step explanation:

She will get 504 pounds by multiplying 700×0.72= 504.

What is the benefit of changing currency?

Official currency substitution helps to promote fiscal and monetary discipline and thus greater macroeconomic stability and lower inflation rates, to lower real exchange rate volatility, and possibly to deepen the financial system.

Can you change the currency at the bank?

Many banks offer currency exchange to their customers. Though there may be a small fee, your bank or credit union will almost always be the best place to exchange currency (and the cheapest).

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need help ASAP!!!
Find the sum of each infinite geometric series, if it exists​

Answers

The first series diverges because each successive term is getting multiplied by -3, so the common ratio is larger than 1 in magnitude.

Assuming the second series is

3 - 3/2 + 3/4 - 3/8 + ...

then it converges because the common ratio between terms is -1/2, which is less than 1 in magnitude.

To find the value of the sum, let S denote the n-th partial sum, i.e. the sum of the first n terms in the series:

S = 3 - 3/2 + 3/4 - 3/8 + ... + 3(-1/2)^(n - 2) + 3(-1/2)^(n - 1)

Multiply both sides by -1/2:

(-1/2) S = -3/2 + 3/4 - 3/8 + 3/16 - ... + 3(-1/2)^(n - 1) + 3(-1/2)^n

When we subtract S and (-1/2) S, we see all the middle terms canceling, and we can solve for S:

S - (-1/2) S = 3 - 3(-1/2)^n

S/2 = 3[1 - (-1/2)^n]

S = 6[1 - (-1/2)^n]

As n gets larger, the (-1/2)^n term will converge to 0, leaving us with

lim (n -> infinity) S = 6

so that the series converges to 6.

There are 130 people in a sport centre. 73 people use the gym. 62 people use the swimming pool. 58 people use the track. 22 people use the gym and the pool. 29 people use the pool and the track. 25 people use the gym and the track. 11 people use all three facilities. A person is selected at random. What is the probability that this person doesn't use any facility

Answers

To find : Probability that person doesn't use any facility

Given : Total people = 130 ; People using gym (G), Swimming Pool (S), Track (T) = 73, 62, 58 respectively. People using G & P, P & T, G & T = 22, 29, 25. People using P & G & T = 11

So : Prob (G) = 73/ 130 , Prob (S) = 62/130 , Prob (T) = 58/130

P (G ∩ P) = 22 / 130 , P (P ∩ T) = 29 / 130 , P (G ∩ T) = 25 / 130 , P (P ∩ G ∩ T) = 11 / 130

Prob [ Person uses either P or G or T ] :

P (PUGUT) = P(G) + P (S) + P (T) - P (G ∩ P) - P (P ∩ T) - P (G ∩ T) - 2 P (P∩G∩T) = ( 73 + 62 + 58 - 22 - 29 - 25 - 22) / 130 = 95 / 130

Prob [Person uses neither P or G or T] : 1 - Pr [Person uses either  P or G or T] = 1 - P (PUGUT) = 1 - (95 / 130) = 35 / 130

Hence, Probability that person doesn't use any facility = 35 / 130

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Answer:flying gorillla

Step-by-step explanation:because no

Can i have some help please?
5(2x + 1) + 50

Answers

Answer:

4.5

Step-by-step explanation:

5(2x+1)=50

5(2x)+5(1)=50

10x+5=50

10x=45

x=4.5

Hope this helps!

Answer:

4.5

Step-by-step explanation:

To solve, expand first

5(2x+1) = 5 x 2x + 5 x 1 = 10x + 5

Now, we have

10x+5 = 50

Rearrange:

10x+5 = 50

10x = 45

x = 4.5

Hope this helps,

Good Luck

A package of construction paper has 6 sheets of red paper, 14 sheets of blue pape
and 10 sheets of yellow paper. If Dexter bought enough packages of construction
paper to have 50 sheets of yellow paper, how many sheets of red paper does he
have?

Answers

Answer:

50/10=5 so the ratio is 5 times more

there was 6 sheets of red paper and there is 5 times more so 5 x 6 = 30 red sheets

30 red sheets

Hope this helps

Step-by-step explanation:

Answer:

30 sheets of red paper

Step-by-step explanation:

Using proportion,

If 10 sheets of yellow paper = 6 sheets of red paper

then 50 sheets of yellow paper = ? sheets of red paper

[tex]\frac{50 sheets of yellow paper}{10sheets of yellow paper} * 6 sheets of red paper[/tex]

= 5 * 6 sheets of red paper

= 30 sheets of red paper

Solve the system by substitution.
у = x
-2x + 4y = 16

Answers

Answer:

Step-by-step explanation:

y = x

-2x + 4y = 16

-2x + 4x = 16

2x = 16

x = 8

y = 8

(8,8)

Answer:

Since y=x, then both variables must be the same.

-2x + 4y= 16

You have to have 16 on both sides

-2(8) + 4(8)=16

-16 + 32= 16

         16=16

Step-by-step explanation:

En la tienda tienen estas ofertas : 1/4 kg de chorizo : 9,25 €. 1/2 kg de queso : 8,50€.¿Cuánto vale 1 kg de cada producto?¿Cuánto cuesta un queso de 2kg?

Answers

Answer: 1. €37 and €17

2. €34

Step-by-step explanation:

Given Data:

Cost of 1/4kg of chorizo = €9.25

Cost of 1/2kg of cheese = €8.50

Therefore:

1. Cost of 1kg of each product.

If 1/4 kg or chorizo cost €9.25,

1kg = 1/4 which is known as one fourth or one quarter. There are 4 one fourth in 1

1kg = 1/4 + 1/4 + 1/4 + 1/4

Or

1kg = 4 * €9.25

1kg = €37

Cost of 1kg of chorizo is €37

Cost of 1kg of cheese

If 1/2kg = €8.50

Then; 1kg = 1/2 + 1/2

1kg = €8.50 + €8.50

1kg = €17

Cost of 1kg of cheese = €17

2. Cost of 2kg of cheese.

If 1kg of cheese cost €17

2kg = 2 * €17

2kg = €34

Cost of 2kg of cheese is €34

Kelly bought a computer that was 20% off the regular price of $1,060. If a 7% sales tax was added to the cost of the computer, what was the total price Kelly paid for it?

Answers

Answer: $ 1361.04

Step-by-step explanation:

Discount will be 1060 * 20% = 212

Sales price 1060 + 212 = 1272

Tax 7% = 89.04

Kelly paid 1272 + 89.04 = 1361.04

Simplify: (-4y3 + y2 - y - 3) - (-2y3 - 3y + 3)

Answers

Answer:

-2y^3+y^2+2y-6

Step-by-step explanation:

(-4y^3 + y^2 - y - 3) - (-2y^3 - 3y + 3)

Distribute the minus sign

(-4y^3 + y^2 - y - 3) +2y^3 + 3y - 3

Combine like terms

-4y^3 +2y^3 +y^2 -y+3y -3-3

-2y^3+y^2+2y-6

Which rule represents the translation from the pre image, rhombus ABCD, to the image rhombus A'B'C'D' ?

Answers

Answer:

Square ABCD was translated using the rule (x, y) → (x - 4, y + 15) to form A'B'C'D'.

In the diagram below, the measure of angle 3 is 140, what is the measure of angle 5 ?

I need help with question number 2.
Help me please !

Answers

Answer:

2

Step-by-step explanation:

Angles 3 and 5 are alternate interior angles because they are inside the lines and are on opposite sides of the transversal.

This means they are equal to one another, so 2 is correct because they are alternate interior and angle 5 will be 140 degrees.

Which statement below is the correct definition for denoting similar objects?

A. Similar objects have congruent angles and congruent sides
B. Similar objects have proportional angles and congruent sides
C. Similar objects have congruent angles and proportional sides.
D. Similar objects have proportional angles and proportional sides

Answers

Answer:

C. Similar objects have congruent angles and proportional sides.

Step-by-step explanation:

I took the test.

The correct option regarding the statement will be C. Similar objects have congruent angles and proportional sides.

It should be noted that similar objects are identical. Therefore, similar objects have congruent angles and proportional sides.

It should be noted that they don't have objects have congruent angles and congruent sides.

Learn more about similar objects on:

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please help!! any help is appreciated

Answers

Answer:

10 ounces

Step-by-step explanation:

Convert the original container into ounces. (1 quart=32 ounces)

5 x 32 = 160 ounces

Then the milk is divided into two containers.

160 / 2 = 80

Each container is then divided into 8 glasses.

80 / 8 = 10

Each glass has 10 ounces of milk in it.

Language is a complex system that includes the ways we express ourselves, such as speaking or writing, and ways we receive information, such as listening and reading. a. true b. false

Answers

Answer: False, language is a more specific word.

Step-by-step explanation:

Language is a complex and structured system of communication.

This word particularly refers to the "artificial codes or ciphers" that humans use to communicate.

The thing in the sentence is more general than language, this refers to communication:

"Communication is a complex system that includes the ways we express ourselves, such as speaking or writing, and ways we receive information, such as listening and reading."

So the actual sentence is false.

Vertical angles are always adjacent.


True False

Answers

Answer:

False

Step-by-step explanation:

Vertical angles are opposite to each other, so they are not adjacent.

the answer is false vertical angles aren’t always adjacent

Write the recurring decimal 0.473737373... as a fraction.​

Answers

Answer:

[tex]\frac{469}{990}[/tex]

Step-by-step explanation:

We require 2 equations with the repeating digits after the decimal point.

By subtracting the 2 equations eliminates the repeating digits.

let x = 0.47373737.....

Multiply both sides by 100 and 10000, that is

100x = 47.3737... → (1)

10000x = 4737.3737.... → (2)

Subtract (1) from (2)

9900x = 4690 ( divide both sides by 9900 )

x = [tex]\frac{4690}{9900}[/tex] = [tex]\frac{460}{990}[/tex] ← in simplest form

13. How much voltage would be necessary to generate 20 amps of current in a circuit that has 5.5

ohms of resistance?

V=

I=

R=

Answers

Answer:

The voltage is 110 V

Step-by-step explanation:

Given;

current in the circuit, I = 20 A

resistance in the circuit, R = 5.5 Ω

voltage in the circuit, V = ?

Voltage is given as = current x resistance

V = IR

V = 20 x 5.5

V = 110 V

Therefore, the voltage necessary to generate 20 amps of current in a circuit that has 5.5 ohms of resistance is 110 volts.


Five students were running for class president. Ben received 20 more votes than Jack and 40 less than Anna. Elaina received 20 votes less than Parth, who received more votes than Anna, and 50 votes more than Jack. Which list correctly shows the results from the most to the least votes?

A. Parth, Anna, Elaina, Ben, Jack
B. Parth, Anna, Ben, Elaina, Jack
C. Anna, Parth, Ben, Elaina, Jack
D. Anna, Parth, Elaina, Ben, Jack

Answers

Answer:

A. Parth > Anna > Elaina > Ben >Jack

Step-by-step explanation:

Oooh man, these questions are evil.

Jack<Ben<Anna

Elaina<Parth

Parth : 50 more votes than Jack. 30 more than Ben (50-20). More than Anna.

Parth > Anna > Elaina > Ben >Jack

brainliest would be epic

what is -5(3m+4)= Please help

Answers

it would be -15m + -20

Answer:

-15m-20

Step-by-step explanation:

-5(3m+4)

you have to multiply -5 by 3m and 4

-5x3m=-15m and -5x4 would be -20

so it would be -15m-20

The histogram shows the number of hours the students in Mr. Quentin's class spent doing online research for a science fair project. A) Skewed Right B) Cannot be determined C) Skewed Left D) Symmetrical

Answers

Answer:

C) Skewed Left

Step-by-step explanation:

From the above histogram given, it can observed visually that fewer students spent less hours in Mr. Quentin's class engaging in the online research for the project, while majority of the students spent more hours.

Thus, the histogram is skewed to the left, having a non symmetric shape with a lopsided mound which is bigger on the left of the histogram and smaller to the right of the histogram, as we have few students who spent less hours compared to the vast majority that spent more hours on the research.

Answer:

the answer is C skewed left

Step-by-step explanation:

Can someone plz help me solved this problem! Need help ASAP! Help me !

Answers

Answer:  5, 8

Step-by-step explanation:

The difference between 3 times a number and -8 is BETWEEN 23 and 32

Note: "difference" means subtraction --> 3x - (-8)  --> 3x + 8

               23 < 3x + 8 < 32

               15 < 3x        < 24           subtracted 8 from all 3 sides

-->             5 <   x        <   8          divided 3 from all 3 sides

 

All else being equal, a study with which of the following error ranges would be
the most reliable?
A. +-6 percentage points
B. +-15 percentage points
C. +-9 percentage points
D.+- 112 percentage points

Answers

I’m pretty sure it D

The study with an error range of +-6 percentage points would be the most reliable.

As larger error ranges, such as options B, C, and D, indicate a greater degree of uncertainty and variability in the dat This reduces the reliability and precision of the study's findings.

So, when all other factors are equal, a study with a smaller error range, like with +-6 percentage points, would be considered more reliable.

Thus, with an error range of +-6 percentage points, has the smallest range.

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A panda weighed 8 pounds and gains 12 pounds every month. What is the vertical intercept (y-intercept) and what does it mean in the context of the situation?Immersive Reader

Answers

Answer:

y=8x+12

Step-by-step explanation:

PLEASE HELP ME I WILL GIVE YOU 15 POINTS.

1. Find the simple interest you will obtain if you deposit $600 in bank for 9 months at 4 %per annum.


2. A man walks at a rate of 1.25 / . Find the time he takes to walk 3.75 km.

Answers

Answer:

(1) The formula to calculate simple interest (SI), with principal = 600$, annual rate = 4% = 0.04, and time = 9 months is:

SI = principal x rate x time

   = 600 x (0.04/12) x 9

   = 18$

(2) The formula to calculate the time that man walked 3.75 km, with rate of 1.25:

Time = Distance/Rate

         = 3.75/1.25

         = 3

Hope this helps!

Factor the expression X^4+6X^2 – 7 completely.

Answers

Answer: (x - 1)(x + 1)(x + 7)²

Step-by-step explanation:

x⁴ + 6x² - 7

find two numbers whose product is -7 and sum is +6    -->    -1 & 7

Those values go into the parenthesis: (x² - 1)(x + 7)²

Notice that (x² - 1) is the difference of squares  -->  (x - 1)(x + 1)

At a school carnival, the diameter of the mat of a trampoline is 12 feet and the diameter of its metal frame is 14 feet. What is the length, in feet, of the metal frame that surrounds the trampoline? Use 3.14 for π and round your answer to the nearest tenth. A.) 37.7 feet B.) 44.0 feet C.) 75.4 feet D.) 87.9 feet

Answers

Answer:

B

Step-by-step explanation:

circumference can be found using formula 2 x pi x radius

radius of the entire trampoline = 7 ft

2 x 3.14 x 7 = 14 x 3.14 = 43.96

Rounded = 44.0 ft = B

Answer:

B

Step-by-step explanation:

The length around a circle, or the circumference, can be found with the formula [tex]\pi d[/tex], where d is the diameter. Therefore, the length of the frame is [tex]\pi \cdot 14\approx 44[/tex]. Hope this helps!

Identifying a proportion Which proportion resulted in the equation 3a = 7b

Answers

Answer:

a

Step-by-step explanation:

Identifying a proportion Which proportion resulted in the equation 3a = 7b

Answer:

B

Step-by-step explanation:

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