There are 26 prize tickets in a bowl, labeled A to Z. What is the probability that a prize ticket with a vowel will be chosen, not replaced, and then another prize ticket with a vowel will be chosen? Does this represent an independent or dependent event? Explain.

Answers

Answer 1

Using it's concept, there is a 0.0308 = 3.08% probability that a prize ticket with a vowel will be chosen, not replaced, and then another prize ticket with a vowel will be chosen. Since the letter is not replaced, the number of outcomes change, hence they are dependent.

What is a probability?

A probability is given by the number of desired outcomes divided by the number of total outcomes.

For the first ticket, since 5 out of 26 letters are vogal, the probability is:

5/26.

For the second ticket, since there is no replacement, the probability is:

4/25.

The probability of both tickets is:

[tex]p = \frac{5}{26} \times \frac{4}{25} = 0.0308[/tex]

0.0308 = 3.08% probability that a prize ticket with a vowel will be chosen, not replaced, and then another prize ticket with a vowel will be chosen. Since the letter is not replaced, the number of outcomes change, hence they are dependent.

More can be learned about probabilities at https://brainly.com/question/14398287

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Related Questions

-6(-6x + 1) plz answer

Answers

Answer:

36x - 7

Step-by-step explanation:

36x-6 is the answerrrr

A submarine travels 12 km due West from its base and then turns and travels due South for 14.8 km. How far away is the submarine from its base? .

Answers

Answer:

the submarine travels 26.8 km. from its base

Answer:

The answer is 19.1

Step-by-step explanation:

[tex]z = \sqrt{ {x}^{2} + {y}^{2} } = \sqrt{ {12}^{2} + {14.8}^{2} } = 19.1[/tex]

please help! I will give brainlist​

Answers

Answer:

A= Yes, it's the equation

B= it's what the problem equals

Step-by-step explanation:

I think this is right I'm not to sure but I think it is

hope this helps :)

Step-by-step explanation:

the process shown in the picture.

If y = 3x - 5 and x = 3y - 5, then what are x and y?

Answers

Answer:

2?

Step-by-step explanation:

Answer:

x nang iwan at y naman ganon

pls help this is due soon check 2 that apply

Answers

Answer:

I am pretty sure it is option a and c

Sorry if i am wrong

dos numeros sumados dan como resultado 5 y el doble de uno mas el doble del otro da como resultado 15 ¿cuales son esos numeros?​

Answers

Answer:

Sean dos números A y B.

Sabemos que la suma de estos dos números es igual a 5, entonces:

A + B = 5

Y sabemos que el doble de uno mas el doble del otro da como resultado 15.

entonces:

2*(A + 2*B) = 15

esta es la única forma de interpretar esta ecuación, si en lugar de esta expresión tuviéramos 2*A + 2*B = 15 (pues tambien se puede interpretar como esto), entonces:

tenemos dos ecuaciones:

A + B = 5

2*A + 2*B = 15

Ahora, si sacamos el 2 como factor común en la segunda ecuación tenemos:

2*(A + B) = 15

si dividimos ambas partes por 2:

(A + B) = 15/2 = 7.5

(A + B) = 7.5

Esto se contradice con la primer ecuación:

(A + B) = 5.

Entonces podemos concluir que dichos números no existen.

Dejando esto de lado, nuestras ecuaciones van a ser:

A + B = 5

2*(A + 2*B) = 15

Para resolver esto, el primer paso es aislar una de las variables en una de las ecuaciones, yo voy a aislar A en la primera:

A = 5 - B

Ahora podemos reemplazar esto en la otra ecuación:

2*(5 - B + 2*B) = 15

2*(5 + B) = 15

10 + 2*B = 15

2*B = 15 - 10 = 5

B = 5/2 = 2.5

Y con la primer ecuación:

A + B = 5

reemplazamos el valor de B:

A + 2.5 = 5

A = 5 - 2.5 = 2.5

Ambos números son 2.5.

True or False: Tamika is having 5 friends over for a birthday party. Each serving of ice cream is of a cup. She would like to double that amount for each serving and have enough ice cream for her and her friends. 4 cups is enough

Answers

Answer:

TRUE

Step-by-step explanation:

Answer:

False

Step-by-step explanation:

False

If you have her and 5 friends that is 6 people.

And her doubled serving is 2 cups.

Enough ice cream would be 12 cups

(6 x 2 = 12)

She only has 4 which is not enough ice cream for everyone given these servings.

I hope this helps.

If you have any questions or concerns please comment or message me. :)

Solve for x. 3 - √x = 0

Answers

Answer:

x = 9

Step-by-step explanation:

3 - √x = 0

Subtract 3 from both sides of the equation

3 - 3 - √x = 0 - 3

-√x = -3

Divide both sides by -1

-√x / -1 = -3 / -1

√x = 3

Take the square of both sides

(√x) ² = 3²

X = 9

Find the unknown side length of these similar triangles using scale factor. Show working out.

Answers

its the solution I hope it's right good luck

Albert mixes 10 grams of 15% sugar syrup and 25 grams of 10% sugar syrup. C What is the concentration of sugar in the mixture? D If Albert adds x grams of pure sugar to his mixture, how many grams of sugar will the mixture contain now? E After Albert adds the x grams of sugar, how many grams of mixture does Albert have? F Suppose we know that after he adds the x grams of sugar, Albert's mixture is 25% sugar syrup. Write an equation. G Solve the equation from part (f) to find how many grams of pure sugar Albert needs to add to achieve 25% concentration. A How many grams of sugar does the mixture contain? B How many grams of mixture does Albert have now?

Answers

Answer: 14a is 4 grams 14 b is 35 grams

Step-by-step explanation:

sebuah kantong berisi 20 kelereng merah dan 15 kelereng putih.toni memiliki 3 kantong yang berisi kelereng dengan jumlah yang sama. jika Toni memberikan 45 kelereng kepada adiknya, sisa kelereng Toni adalah​

Answers

Answer:

60

Step-by-step explanation:

The computation of the rest of the marbles is given below:

Since there is 20 red and 15 white marbles

Also the 3 bags contains same marbles

So if he gives 45 marbles, so the remaining would be

= (20 + 15) × 3 - 45

= 35 × 3 - 45

= 105 - 45

= 60

Solve the quadratic equation x^2- 11x = 12 using any method. Describe the method you chose and why you chose it.

Answers

Answer:

12, -1 its the answer

Step-by-step explanation:

1. subtract 12 from both sides

2. simplify which looks like this x^2- 11x - 12=0

3.solve with the quadratic formula

4.separate the solutions

and there you go

Please help me again!

Answers

Answer:

144

Step-by-step explanation:

First subtract 180 from 20% of 180.

180 - (20/100 x 180) = 180-36 = 144

Help meh ill mark you all 4 plz if you can

Answers

Answer:

Step-by-step explanation:

5+ 1 7/8 = 6 7/8

3 - 1 3/4 = 1 1/4

7 3/4 + 4 = 11 3/4

4- 2 3/7 = 1 4/7

allison read 4/8 of an hour everyday of the week. How many hours does she read each week

Answers

Answer:

3 1/2 hours

Step-by-step explanation:

Multiply 4/8 by 7 and you get 28/8 whihc reduces to 3 4/8 and 4/8 can be simplified to 1/2

Answer:

Step-by-step explanation:

Hi! So I am not sure if when you mention for the week if she is talking about the school week(5Days) or a regular week (7 days). So we'll do both.

We know that 4/8 hour can be simplified to 1/2 hour. We also know that 1 hour is 60 minutes ... so 1/2 hour is 30 minutes. This means she reads 30 minutes per day.

School Week: 5 Days

30 minutes x 5 Days = 150 minutes or 2 hours and 30 minutes (2 1/2 hours) (20/8 of an hour)

Regular Week: 7 Days

30 minutes x 7 days= 210 minutes or 3 hours and 30 minutes (3 1/2 hour) (28/8 of an hour)

Please mark me the brainliest or not ! I hope this answers your question



PLEASE!! HELP!!

Question

Select the correct location on the number line.
Plot the square root of 3 on the number line.
H
1
2

Answers

Answer:

2nd dot from the left (in the 1.7 column)

Step-by-step explanation:

the square root of 3 is 1.73

each interval on that number line goes by one tenths

(1.1, 1.2, 1.3, etc.)

so counting 7 spaces from the number one should land you at 1.7

(the second red dot from the left)

hope i was able to help!

I slept the correct operator for the following exponential expression*​

Answers

Answer:

b is the answer(>)

Step-by-step explanation:

hope this helps

Which value is in the domain of f(x)?
(+5
2x + 5, -6 < X 0
f(x) =
-2x + 3,0 < x < 4
) -7
0 -6
4
05

Answers

Answer:

it's 4 on edge

Step-by-step explanation:

I got it right

The value is in the domain of f(x) is 4, the correct option is C.

What is the domain and range of the function?

The domain of a function is defined as the set of all the possible input values that are valid for the given function.

The range of a function is defined as the set of all the possible output values that are valid for the given function.

We are given that;

f(x) =-2x + 3,0 < x < 4

Now,

The domain of a function is the set of all possible input values for which the function is defined. In this case, the function f(x) is defined by two different expressions depending on the value of x. The first expression, 2x + 5, applies when -6 < x < 0. The second expression, -2x + 3, applies when 0 < x < 4. Therefore, the domain of f(x) is the union of these two intervals:

Domain of f(x) = (-6, 0) U (0, 4)

Therefore, by the domain the answer will be 4.

Learn more about the domain and range of the function:

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Do Ilboe.org bookmarks
Lesson 2 Review...
< Exit
Topic 5 Assessment
IMPLAYER
Drag each expression to its equivalent expression. Each expression may be used only once.
+ 1
4
1
X +
+1
3
Expression
Equivalent Expression
-
3
4
1
4
+
3
+
3
4
See

Answers

You can do this just believe in your self
It A

A coupon book has a coupon for 40% off of a lift ticket at Mt. Woodstock. A lift ticket usually costs $70. How much would a skier save?

Answers

Answer:

The Skier would save $28 dollars

Step-by-step explanation:

The answer is 28 because 40% of 70 is 28.

Hope this helps! :)

Answer:

The skier would spend $48 and save $28

Step-by-step explanation: In the attachment

12.- En una fábrica 15 obreras cubren un pedido de faldas en nueve dias de
trabajo, ¿cuántas obreras más tendrán que contratarse para que el pedido sea
entregado en tres días?
A) 5
B) 15
C) 25
D) 30

Answers

Answer:

I speak englush

Step-by-step explanation:

I speak English

Sarah is conducting a science experiment where she initially has a population of 4 fruit flies. Every week the population triples. She writes the function f(x)=4(3)x to predict the population growth. Which rule can also model the function?

Answers

Answer and explanation:

Given that initial population of fruit flies = 4

And population of fruit flies triple every week

If population of fruit flies triple every week then let x represent number if weeks

Therefore function can be modelled thus :

f(x)= 4 + 3x

To demonstrate that the function is correct, we use an example. Now assume population grows for two weeks, using the function:

f(2)= 4+3×2

f(2)= 10

Therefore population grows to 10 fruit flies in 2 weeks based on our function

The weights of four puppies are shown in pounds

9.5 9
9.125 9


Which list shows these weights in order from greatest to least?

Answers

Answer:

9.125 9, 9.59

Step-by-step explanation:

I won a sweepstakes and will receive money every week for 52 weeks. The first week, I will receive $500 and every week after that I will receive $50 more than I received the previous week. How much money will I receive over the course of the 52 Weeks?
25 Points.

Answers

Answer:

$3100

Step-by-step explanation:

You can determine this by multiplying 52 by 50, because you get 50 dollars for 52 weeks, then add 500 to it, because you get 500 dollars at first. 52 times 50 is equal to 2600, and 2600 + 500 is equal to 3100. You will receive $3100 over the course of 52 weeks.

COULD I GET GET SOME HELP PLZ? REWARD BRAINLIEST

Answers

Answer:

1. D) -4/3 or 4/3

2. A) -6 or 8

Step-by-step explanation:

Answer:

x=4/3 or -4/3

x=8,-6

Step-by-step explanation:

what special name is given to the domain in a linear programming problem

Answers

Answer:

Mathematics

Step-by-step explanation:

Linear programming (LP, also called linear optimization) is a method to achieve the best outcome (such as maximum profit or lowest cost) in a mathematical model whose requirements are represented by linear relationships. Linear programming is a special case of mathematical programming (also known as mathematical optimization).

I did this myself, but I kept getting negative numbers can someone else try and do this and see what you get ​

Answers

Answer:

6

Step-by-step explanation:

Answer:

67

Step-by-step explanation:

4x = 2x + 12

4x - 2x = 2x - 2x + 12

2x = 12

2x ÷ 2 = 12 ÷ 2

X = 6

Plug into HI

9 × 6 + 13 = 67

d-1/2=5/12 what is d??

Answers

Answer:

d = [tex]\frac{11}{12}[/tex]

Step-by-step explanation:

1) To solve for d, isolate it in the equation. So, to get rid of the [tex]-\frac{1}{2}[/tex] with the d, add [tex]\frac{1}{2}[/tex] to both sides.

[tex]d-\frac{1}{2} = \frac{5}{12} \\d - \frac{1}{2} +\frac{1}{2} = \frac{5}{12} + \frac{6}{12} \\d = \frac{11}{12}[/tex]

Thus, d = [tex]\frac{11}{12}[/tex].

Is my answer correct???

Answers

Answer:

Yes! Great job!

Hope that helps!

yes it is correct!!!!!!!!!!!!!!!!!!!!!!

n the diagram, the measure of angle 9 is 85°.

4 lines intersect to form 16 angles. The angles created, clockwise from top left are 1, 2, 3, 4; 5, 6, 7, 8; 9, 10, 11, 12; 13, 14, 15, 16.

Which angle must also measure 85°?
Angle2
Angle5
Angle11
Angle12

Answers

Answer:

The real answer is angle 5

Step-by-step explanation:

The angle 11 must measure the angle 85. The correct option is C.

What are lines and angles?

An infinitely long row of evenly spaced dots that extends in both directions makes up a line. Its length is the only dimension it has. An illustration of a line is a horizontal mark made on a piece of paper. A figure made by two rays that intersect at the same endpoint is referred to as an angle.

Given that in the diagram, the measure of angle 9 is 85°. 4 lines intersect to form 16 angles. The angles created, clockwise from the top left are 1, 2, 3, 4; 5, 6, 7, 8; 9, 10, 11, 12; 13, 14, 15, 16.

The measure of angle 9 is equal to the measure of angle 11. it means that angle 9 and angle 11 are equal to 85 degrees. The image is attached with the answer below. Shows the angle 9 and angle 11 are vertically opposite angles.

To know more about lines and angles follow

https://brainly.com/question/25770607

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