Angel Sanchez has 10 books on a shelf; 5 mysteries, 4 science fiction books, and 1 biography. Determine the probability of each situation below.
a) Selecting one biography and then one mystery, with replacement
b) Selecting one biography and then one mystery, without replacement
a) The probability of selecting one biography and then one mystery, with replacement, is 17
(Type an integer or a simplified fraction)

Answers

Answer 1

Answer:

a)  1/10 x 5/10 = 1/20

b) 1/10 x 5/9 = 1/18

Step-by-step explanation:

Answer 2

a) Probability of selecting one biography and then one mystery, with replacement: 1/20

b) Probability of selecting one biography and then one mystery, without replacement: approximately 0.0556 or 5.56%.

The probability of each situation can be calculated as follows:

a) Selecting one biography and then one mystery, with replacement:

With replacement means that after each selection, the book is put back on the shelf before the next selection.

The probability of selecting the biography first is 1 out of 10 books (since there is 1 biography out of 10 books).

The probability of selecting the mystery book next is 5 out of 10 books (since there are 5 mysteries out of 10 books).

The overall probability is the product of the individual probabilities:

Probability = (1/10) * (5/10) = 1/20

So, the probability of selecting one biography and then one mystery, with replacement, is 1/20.

b) Selecting one biography and then one mystery, without replacement:

Without replacement means that after each selection, the book is not put back on the shelf before the next selection.

The probability of selecting the biography first is still 1 out of 10 books.

However, after selecting the biography, there are now 9 books left on the shelf, and the probability of selecting a mystery is 5 out of 9 books (since there are 5 mysteries out of the remaining 9 books).

The overall probability is the product of the individual probabilities:

Probability = (1/10) * (5/9) ≈ 0.0556 or 5.56%

So, the probability of selecting one biography and then one mystery, without replacement, is approximately 0.0556 or 5.56%.

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Related Questions

HEYYYYYYYYYYYY ONCE AGAIN THIS IS ONLY 3 OF 30 PlS HELPPP

Answers

Answer:

the 3rd one im pretty sure

Step-by-step explanation:

Answer:

the 3rd one <3

Step-by-step explanation:

sophia used 1/10 of a liter of water to fill 1/4 of a fish aquarium. How much water, in liter is required to fill the aquarium?​

Answers

Answer:

4/10 of a liter

Step-by-step explanation:

if 1/10 of a liter fills 1/4 of the aqauium then your ratio is .1:.25 out of 100 so

100/25=4

What is the missing numbers to this equation please
? - (? × ?)=90

Answers

Answer:

-0(10 x 9)=90

Use mental math to solve the equation.
5) C-(-15) = 38
7) Write a pairs of negative intogoro

Answers

23 I think is the answer

if f = 3, g = -4 and h = -5
[3-h]+13

Answers

21 is the answer because -5 becomes a positive since it’s 3-(-5)
The answer is 21 for sure

1. Luis wants to buy Jordans for 75.23. He saves 10.27 per month. Write an equation to solve how many months he'll need to save. Use x for the variable and do not have any spaces.
2. Jovie earns $8.25 for the hours that she is at work. This week she earned $288.75. Write an equation to solve how many hours she worked. Use x for the variable and do not have any spaces. Pls help :(

Answers

Answer:

Chicken nugget

Step-by-step explanation:

A gas tank holds exactly 13 gallons. If the tank is 2/3 empty, how many gallons remain in the tank? (Round your answer to the nearest tenth)
Group of answer choices-

4.3

5.5

6.5

8.7

Answers

The answer is 8.7 gallon

What is the answer to this radical functions equation ASAP

Answers

It’s d
Hope it help
Mark Brainly

{(-3.7).(-5, -8), (-6, -1). (-9, -1), (0, -3) }
Domain:
Range
Function?
State if it is a function or not

Answers

Answer:

The domain is the set of all the values of x, so it would be -3, -5, -6, -9, 0. The range would be every set of y, so it would be 7, -8, -1, -3. Finally, this relation is indeed a function.

Domain: -3, -5, -6, -9, 0

Range: 7, -8, -1, -3

Is it a function? Yes

Solve the system using substitution.
y - 3x = 1
2y - x = 12
([?], [])

Answers

Answer:

(2, 5)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Algebra I

Solving systems of equations using substitution/elimination

Step-by-step explanation:

Step 1: Define Systems

y - 3x = 1

2y - x = 12

Step 2: Rewrite Systems

y - 3x = 1

Add 3x on both sides:                    y = 3x + 1

Step 3: Redefine Systems

y = 3x + 1

2y - x = 12

Step 4: Solve for x

Substitution

Substitute in y:                    2(3x + 1) - x = 12Distribute 2:                         6x + 2 - x = 12Combine like terms:           5x + 2 = 12Isolate x term:                     5x = 10Isolate x:                              x = 2

Step 5: Solve for y

Define equation:                    2y - x = 12Substitute in x:                       2y - 2 = 12Isolate y term:                        2y = 10Isolate y:                                 y = 5

If P(A or B) = 0.8, P(A) = 0.3, and P(A and B)= 0.15, find P(B).
P(B) =
(Simplify your answer. Type an integer or a decimal.)

Answers

9514 1404 393

Answer:

  P(B) = 0.65

Step-by-step explanation:

The appropriate formula is ...

  P(A or B) = P(A) +P(B) -P(A and B)

Then P(B) is ...

  P(B) = P(A or B) +P(A and B) -P(A)

  P(B) = 0.8 +0.15 -0.3

  P(B) = 0.65

Which of the following statements are not proportional?
5/4 = 10/8
7/5 = 35/25
2/3 = 12/18
4/6 = 9/12

Answers

Answer:

4/6 = 9/12 is not proportional

Step-by-step explanation:

4th one is not proportional

!!! time sensitive please answer !!!

consider the sequence below. 3, 1, 1/3, 1/9

select the explicit function which defines the sequence

A. f(n) = 1/3 • 2^(n-1)

B. f(n) = 2 • (1/3)^(n-1)

C. f(n) = 3 • (1/3)^(n-1)

D. f(n) = 1/3 • 3^(n-1)

Answers

D is the right answer

Karim Corp. requires a minimum $8,600 cash balance. Loans taken to meet this requirement cost 1% interest per month (paid monthly). Any excess cash is used to repay loans at month-end. The cash balance on July 1 is $9,000, and the company has no outstanding loans. Forecasted cash receipts (other than for loans received) and forecasted cash payments (other than for loan or interest payments) follow.

Answers

Answer:

Step-by-step explanation:

Karim Corp. requires a minimum $8,600 cash balance. Loans taken to meet this requirement cost 1% interest per month (paid monthly). Any excess cash is used to repay loans at month-end. The cash balance on July 1 is $9,000, and the company has no outstanding loans. Forecasted cash receipts (other than for loans received) and forecasted cash payments (other than for loan or interest payments) follow. Cash receipts Cash payments July $ 24,600 28,900 August $32,600 30,600 September $ 40,600 32,600 Prepare a cash budget for July, August, and September. (Negative balances and Loan repayment amounts (if any) should be indicated with minus sign. Round your final answers to the nearest whole dollar.) KARIM CORP. Cash Budget For July, August, and September July August $ 9,000 September Beginning cash balance Total cash available Preliminary cash balance Ending cash balance Loan balance $ 0 Loan balance - Beginning of month Additional loan (loan repayment) Loan balance - End of month

28.2% of 92 this is for math

Answers

Hey there!

Usually when you come across the word “of” in mathematical problems , it simply means that you’re multiplying

So we can simply multiply 28.2% from 92

28.2% = 28.2/100 = 0.282

New equation

0.282 * 92 = the answer

0.282 * 92 = 25.944

Good luck on your assignment and enjoy your day!

~LoveYourselfFirst:)

HELP ASAP
what are the root functions?

Answers

A root function is a function expressed by x^1/n for positive integer n greater than 1.

patricia has 45.82 in her checking account. How much does she have in her account after she makes a deposit of 120.75 and a withdraw of 185.90

Answers

Answer:

-19.43

Step-by-step explanation:

You got to add 120.75 to 45.82 then you subtract it from 185.90

comment if this helps :)

In the diagram m<3 = x +30 and m<4= 2x - 80. What is the measure of angle 3?
A)50
B)80
C)110
D)140

Answers

Answer:

110,........................

35 points plz help
Evaluate −4(14)6x for x=13.

Enter your answer as a fraction in simplest form in the box.

Answers

Answer:

-15228

Step-by-step explanation:

Given the expression :

-4(14)6x for X = 13

To evaluate ; simply substitute 13 for X in the equation :

-14(14)6(13)

-14 * 14 * 6 * 13 = - 15228

6(x−2)=−18
x=?
Anybody know what X is equal to?
If you know a little bit about this question, thank you for your help.
(If the answer is right, this person will be the smartest.)

Answers

first distribute the 6

6x-12=-18

now we add the 12 to both sides

6x=-6

then we divide 6

x= -1

Which of the following is equivalent to 75/100? A 2/3 B 10/15 C 25/50 D 15/20​

Answers

Answer:

D. 15/20

Step-by-step explanation: Because if it is 100 divide by 5 then it equals 20 and since 75% is 3/4 then 15/20 is your answer.

Answer:

D 15/20

Step-by-step explanation:

determine if the 2 triangles are similar or not. if they are similar choose the correct similarity theorem below.
A
B
C
D

Answers

The correct answer would be B

Suppose you deposit $2,500 in a savings account that pays you 5% interest per year.

a. How many years will it take for you to double your money?

b. How many years will it take for your account to reach $8,000?

Answers

Answer:A=4 Years B=6 years

Step-by-step explanation:

3. To make purple frosting, you start with white frosting.
Then you add 2 drops of red food coloring and 3 drops of
blue food coloring. If 4 red drops come out with the first
squeeze, how many blue drops should you add?

Answers

Answer:  6 drops of blue

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

Explanation:

We basically mix red and blue to get purple. The ratio needed is 2 parts red, and 3 parts blue. We can shorten this by writing 2:3

Note how we can double both parts of the ratio to get 4:6, showing that 4 drops of red correspond to 6 drops of blue, which is the answer we want.

------------------

Another approach:

x = some positive real number

(2 parts red)/(3 parts blue) = (4 parts red)/(x parts blue)

2/3 = 4/x

2x = 3*4 .... cross multiply

2x = 12

x = 12/2 .... divide both sides by 2

x = 6

So 6 drops of blue go with 4 drops of red.

Jake decides to mow lawns for the first two weeks in June to earn money to buy a new bicycle . If the bicycle cost $153.73 and jake chargers $10.25 to mow each lawn, how many lawns will he need to mow in two weeks to buy the bicycle?

Answers

Answer:

14

Step-by-step explanation:

If 47 divided by a power of 10 to get 0.047 what power of 10 was it divided by

Answers

Answer:

0.01

Step-by-step explanation:

cause 47 x 0.01 + 0.047

The power of 10 that you would dived it by would be 1,000.

Because here we have 3 option 10, 100, and 1,000. So what we would do is divide each one to that main number "47"

47 ÷ 10 = 4.747 ÷ 100 = 0.4747 ÷ 1,000 = 0.047

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Which expression is equivalent to 42 + 12? 7(6+5) 2(40+6) 6(7+2) 10(32+2)

Answers

Answer:

6(7+)

Step-by-step explanation:

1) Start by solving the original equation

42 + 12 = 54

2) Solve the other equations until you find a match

2a) Start with what's in the parenthesis

7(6+5) = 7(11) = 77

2b)

2(40+6) = 2(46) = 92

2c)

6(7+2) = 6(9) = 54

This is your answer

2d)

10(32+2) = 10(34) = 340

Answer: 6(7 +2)

Step-by-step explanation:

Calculate 42 + 12, which is 54.

Calculate 7(6 + 5), which is 7 * 11 = 77.

Calculate 2(40 + 6), which is 2 * 46 = 92.

Calculate 6(7 + 2), which is 6 * 9 = 54.

Calculate 10(32 + 2), which is 10 * 34 = 340.

And, we can conclude the expression 6(7 + 2) is equivalent to 42 + 12.

2 L = _____ ml can someone help? :((

Answers

Answer:

2000

Step-by-step explanation:

Answer:

2000 ml

Step-by-step explanation:

Car X travels 186 miles and 3 hours right the equation of the line that describes the relationship between distance and time

Answers

Answer:

Y=62x

Step-by-step explanation:

The equation of the line that describes the relationship between distance and time is (y = 62x) and this can be determined by using the definition of speed.

Given :

Car X travels 186 miles and 3 hours.

The following steps can be used to determine the equation of the line that describes the relationship between distance and time:

Step 1 - Let the total distance covered by car X be 'y' and the total time taken by car to cover that distance be 'x'.

Step 2 - The speed is given by the ratio of distance to time.

[tex]\rm Speed = \dfrac{Distance }{Time}[/tex]

Step 3 - Now, put the value of distance and time in the above equation.

[tex]\rm Speed = \dfrac{y}{x}[/tex]   ---- (1)

Step 4 - According to the given data the speed is given by:

[tex]\rm Speed = \dfrac{186}{3} = 62\; miles/hour[/tex]

Step 5 - Now, put the value of speed in equation (1).

[tex]\dfrac{y}{x}= 62[/tex]

y = 62x

The equation of the line that describes the relationship between distance and time is (y = 62x).

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Felipe sold t-shirts and hats at a festival. He made a $5 profit for each t-shirt he sold. He also made a profit of $40 from selling hats. If he made a total profit
$125, how many t-shirts did he sell?

Answers

Answer:

He sold 17 shirts at the festival.

The total number of t-shirts Felipe sold is 17 t-shirts.

Consider that the number of t-shirts Felipe sold be "x".

Since He made a profit of $5 for each t-shirt sold. Therefore, his profit from selling t-shirts is 5x. also made a profit of $40 from selling hats.

His total profit is given as $125.

So we can write the following equation:

5x + 40 = 125

Subtracting 40 from both sides;

5x = 85

Dividing both sides by 5, we get:

x = 17

Therefore, Felipe sold 17 t-shirts.

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