Jean puts 12 books on a shelf in random order. Three are by the same author. What is the probability that those 3 books will be next to each other?
it's one of these...
4.55%
8.33%

Answers

Answer 1

Answer:

4.55

Step-by-step explanation:

Answer 2

AEight different books were put on a shelf in random order. Calculate probability that two specific books were put near each other.

My answer: Let's divide the space on the shelf into eight slots. Let's also name our two books, "A" and "B" respectively. We have two sets of combinations - in the first set of combinations we have AB (i.e. A goes first). For example, A is put into the first slot and B is put into the second slot. Next example, A is put into the second slot and B is put into the third slot. And so on. There are 7 such AB combinations in total. By the same logic there are also 7 BA combinations. Obviously there is no overlap between said combinations, thus we can sum them up and get 14 combinations in total where books A and B are put side by side.

As for number of total combinations of books on the bookshelf, it's equal to "n!", where n is equal to 8. Why? Because in order to calculate combinations when repetitions are forbidden and order is important we use this formula:


Related Questions

what is maintenance culture

Answers

Answer:

ways of thinking,behaviour,perciption

Select the correct answer.
Which of these is a non-real complex number?
OA. 5/17 - 21/4
B.
9 + 375
2
OC. 2 - 0
OD. +
/
Dorot

Answers

Answer:

OD

Step-by-step explanation:

because it gives us error and there's no number

The correct option is (D) .

Which is a non-real complex number?Nonreal complex numbers include pure imaginary numbers and those with a and b values of zero, such as 7 + 2i.A non-real or imaginary number is the name given to the square root of a negative number. For instance, the numbers 1, 28, and 5 are all imaginary numbers.Complex numbers cannot be plotted on the actual number line because they contain imaginary numbers. On the complex number plane, which has a y axis (for the imaginary number) and an x axis (for the real number), they can, however, be measured starting from zero (for the imaginary number).

In all these options , they  are presenting real complex number .Real numbers can be positive or negative, and include the number zero. that is why we select option D .

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Which of the following would increase if the professional football players were removed from the data set?

Answers

Answer:

the standard deviation of the residuals

Step-by-step explanation:

The removal of the professional football players will cause the correlation, and consequently r2 to become closer to 0 due to the fact that the high school athletes tend to show no association between the number of energy drinks consumed and the number of pull ups that can be done. The slope of the regression line will also be nearly 0 without the professional football players. The standard deviation of the residuals, however, will increase without the presence of the professional football players because the remaining scatter about the new regression line will be greater due to the loss of the 4 professional football players which all had small residuals.

The option that will increase if the football players were removed from the data set is the standard deviation of the residuals

What is standard deviation?

It should be noted that standard deviation simply means the difference between the observed data and the predicted values.

In this case, the standard deviation of the residual will increase if the football players were removed from the data set as the removal of the professional football players will cause the correlation.

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How do you add
2 2/3 + 6/7

Answers

Answer:

3 11/21

Step-by-step explanation:

2 2/3=(2*3+2)/3=8/3

8/3+6/7=56/21+18/21=74/21 or 3 11/21

Explain how you would graph the inequality: 3 ≤ x

Answers

Given : Explain how you would graph the inequality: 3 ≤ x .

Solution : Graph in attachment .

Answer:

When you are graphing the equation the line, theline on the graph is going to be vertical. Your line point will be ( 3, 0 ). Then there will be a shaded part of the graph on the right on of the line.

ASAP PLEASE HELP!!! Given the cylinder with the given dimensions, match the measures of the radius, circumference, and area of the base.

Answers

Answer:

Radius of cylinder = 4.5 inch

Circumference of Base = 9π inch

Area of base = 20.25π

Step-by-step explanation:

Given:

Diameter of cylinder = 9 inch

Height of cylinder = 22 inch

Find:

Radius of cylinder

Circumference of Base

Area of base

Computation:

Radius of cylinder = Diameter of cylinder / 2

Radius of cylinder = 9 / 2

Radius of cylinder = 4.5 inch

Circumference of Base = 2πr

Circumference of Base = 2π(4.5)

Circumference of Base = 9π inch

Area of base = πr²

Area of base = π(4.5)²

Area of base = 20.25π

Arthur earned $22.50 last night delivering lunches for his family's restaurant. He puts 30% of his earnings into his savings account. he then bought a magazine for $3.95 and a CD for $11.49. of the amount earned last night, how much money does arthur have left that is not in his savings account​

Answers

Answer:

$4.26

Step-by-step explanation:

Carissa folds 32 TShirts in 8 minutes. How many TShirts can she fold in 20 minutes?

Answers

Answer:

5

Step-by-step explanation:

Answer:

80 TShirts in 20 minutes

Step-by-step explanation:

32/8 = 4 Tshirts in a minute

4 x 20 = 80 TShirts in 20 minutes

How many digits are in 385,604 ?

Answers

6 llllllllllllllllllll

Answer:

6

Step-by-step explanation:

because 385,604 there is 6 digits

9. Solve 6/7 divided by 36/56 and put answer in simplest form.
A. 2/8
B. 8/6
C.4/3
D. 6/8

Answers

The answer is C. 4/3

Answer: C

Step-by-step explanation:

Fraction division rule: 6 * 56 / 7 * 36

Then divide the numbers: 6 * 8 / 36

Cancel the numbers 6/36 = 1/6

That leaves us with 8/6

Then simplify by dividing by the common factor

8/2 = 4

6/2 = 3

Answer: 4/3

What is the length of a rectangle if its width is 7 feet and its area is 84 square feet?

Answers

Answer: The length is 12 feet.

Step-by-step explanation:

increase R700 in the Ratio 3:2​

Answers

Step-by-step explanation:

³93521586335445555554555554488807799654

PLEASE HELP !!!! ILL GIVE BRAINLIEST !!!

Answers

Answer:

Hi it's down below! Hope it helps

Step-by-step explanation:

1) The angles are Supplementary

This is because both angles form 180°. The angle below angle "7x+9" is the same as 5x+3.  The angle above angle"5x+3" is the same as 7x+9.

2) They are both supplementary

They form 180°

3)180° = 12x+12°

4) Solving that:

180° - 12° = 12x

168° = 12x

x = 168°/12

x = 14°

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

the answer is 14°

Step-by-step explanation:

PLEASE MARK AS BRAINLIEST

The district manager of four different restaurants wanted to investigate whether the four restaurants differed with respect to customers ordering dessert or not based on family classification (with children or without children). Independent random samples of 100 customers who ordered dessert were selected from each restaurant, and the customers were identified as either being with children or without children. After verifying the conditions for the appropriate hypothesis test, the manager calculated a chi-square test statistic of 6.45 with an associated p-value of 0.092. Based on the p-value and a = 0.05, what conclusion should the manager make regarding the proportion of customers who order dessert at each restaurant and the customers' family classification?
A. There is convincing statistical evidence to suggest that the proportion of customers who order dessert at each restaurant is the same based on family classification.
B. There is convincing statistical evidence to suggest that the proportion of customers who order dessert at each restaurant is not the same based on family classification.
C. There is not convincing statistical evidence to prove that the proportion of customers who order dessert at each restaurant is not the same based on family classification.
D. There is not convincing statistical evidence to suggest that the proportion of customers who order dessert at each restaurant is the same based on family classification.
E. There is not convincing statistical evidence to suggest that the proportion of customers who order dessert at each restaurant is not the same based on family classification.

Answers

Answer:

E

Step-by-step explanation:

The overnight temperature in Tampa never
reached below 40°F during November.
Which inequality shows that?
A x < 40
B x> 40
© x= 40
DX > 40
Truman puts money into his savings

Answers

Answer:

Step-by-step explanation: C is the answer

k/4 +3=14 What is the answer to this question?

Answers

Answer:

k=44

Step-by-step explanation:

this is new information to me

Answers

I’m sorry I don’t know this one
I think the answer is B I hope it’s right

Help please is for now

Answers

Answer:

In linear functions, rate of change is constant: as x goes up, y will go up a consistent amount. In exponential functions, the rate of change increases by a consistent multiplier

Step-by-step explanation:

Answer:

Linear functions change at a constant rate per unit interval. An exponential function changes by a common ratio over equal intervals.Step-by-step explanation:

The box is a rectangular prism. He covered all the sides with the of the box with special wallpaper that cost a total of $504. How much wallpaper cost per square foot length is 6 feet width is 5 feet and height is 3 feet.

Answers

The cost of the wallpaper per square foot is $4.

To find the cost per square foot of the wallpaper, we first need to calculate the total surface area of the box. A rectangular prism has six faces, and each face is a rectangle.

The front and back faces have dimensions 6 feet by 3 feet, so their combined area is 6 ft * 3 ft * 2 = 36 square feet.

The top and bottom faces have dimensions 5 feet by 3 feet, so their combined area is 5 ft * 3 ft * 2 = 30 square feet.

The left and right faces have dimensions 6 feet by 5 feet, so their combined area is 6 ft * 5 ft * 2 = 60 square feet.

The total surface area of the box is 36 + 30 + 60 = 126 square feet.

Since the cost of the wallpaper is $504, we divide the total cost by the total surface area to find the cost per square foot: $504 / 126 sq ft = $4 per square foot.

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Select the correct answer.
Which statement correctly compares the graph of function g with the graph of function ??
FE) = e²-
g(x) = ² - 4
O A.
OB.
O C.
O D.
The graph of function g is a horizontal shift of the graph of function to the right.
The graph of function g is a vertical stretch of the graph of function f.
The graph of function g is a vertical compression of the graph of function f.
The graph of function g is a horizontal shift of the graph of function f to the left.
Reset
Next

Answers

A statement that correctly compares the graph of function g with the graph of function f include the following: C. The graph of function g is a vertical compression of the graph of function f.

What is a dilation?

In Mathematics and Geometry, a dilation is a type of transformation which typically transforms the dimension (size) or side lengths of a geometric object, without affecting its shape.

Therefore, the dimension or side lengths of the dilated geometric object would be stretched or compressed (shrunk) depending on the scale factor that is applied.

When the parent function [tex]f(x) = e^x -4[/tex] is vertically compressed by a scale factor of 1/2, the transformed function g(x) is given by the following equation;

g(x) = kf(x)

g(x) = 1/2f(x)

[tex]g(x) = \frac{1}{2} e^x -4[/tex]

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What is the sum of one sixth and thrice of n​

Answers

Answer:

9

Step-by-step explanation:

6+3 is 9

Answer:

what do you mean by thrice of n?

Step-by-step explanation:

Wouldn't we need to know what n equals?

Pictures in order !

Answers

Answer:

Step-by-step explanation:

2XV=WY

2(2x+4)=7x-1

4x+8=7x-1

3x=9

x=3

XV=2x+4=10

WY=7x-1=20

Jessica is making a cake. The recipe calls for 2 3/4 cups of flour. She only has a measuring cup that holds 1/4 cup. Explain how she can use the measuring cup that holds 1/4 cup to measure 2 3/4 cups of flour.

Answers

Answer: Jessica can use her measuring cup 11 times.

(hope this helps!)

Inequality question PLEASE HELP

Answers

Answer:

40x4x<60

x<5

Step-by-step explanation:

40x4x<60

4x<60-40

4x<20

x<20÷4

x<5

PLEASE HELP ASAP!!! URGENT

Verify the identity. Sinx/1-cosx = cscx+cotx

Please use the answers shown in the image !! Thank you !!

Answers

Answer:

1) [tex]\frac{\sin x}{1-\cos x} = \csc x + \cot x[/tex]

2) [tex]\frac{\sin x}{1-\cos x} = \frac{1}{\sin x} + \frac{\cos x}{\sin x}[/tex]

3) [tex]\frac{\sin x}{1-\cos x} = \frac{1+\cos x}{\sin x}[/tex]

4) [tex]\frac{\sin x}{1-\cos x} = \frac{\sin x \cdot (1+\cos x)}{\sin^{2}x}[/tex]

5) [tex]\frac{\sin x}{1-\cos x} = \frac{\sin x\cdot (1+\cos x)}{1-\cos^{2}x}[/tex]

6) [tex]\frac{\sin x}{1-\cos x} = \frac{\sin x\cdot (1+\cos x)}{(1+\cos x)\cdot (1-\cos x)}[/tex]

7) [tex]\frac{\sin x}{1-\cos x} = \frac{\sin x}{1-\cos x}[/tex]

Step-by-step explanation:

Now we proceed to show all steps needed to demonstrate the trigonometric identity:

1) [tex]\frac{\sin x}{1-\cos x} = \csc x + \cot x[/tex] Given.

2) [tex]\frac{\sin x}{1-\cos x} = \frac{1}{\sin x} + \frac{\cos x}{\sin x}[/tex] Identities for cosecant and cotangent functions.

3) [tex]\frac{\sin x}{1-\cos x} = \frac{1+\cos x}{\sin x}[/tex]             [tex]\frac{a}{b}+\frac{c}{b} = \frac{a+c}{b}[/tex]

4) [tex]\frac{\sin x}{1-\cos x} = \frac{\sin x \cdot (1+\cos x)}{\sin^{2}x}[/tex] Existence of additive inverse/Modulative property.

5) [tex]\frac{\sin x}{1-\cos x} = \frac{\sin x\cdot (1+\cos x)}{1-\cos^{2}x}[/tex]    Fundamental trigonometric identity.

6) [tex]\frac{\sin x}{1-\cos x} = \frac{\sin x\cdot (1+\cos x)}{(1+\cos x)\cdot (1-\cos x)}[/tex]   Factorization.

7) [tex]\frac{\sin x}{1-\cos x} = \frac{\sin x}{1-\cos x}[/tex] Existence of additive inverse/Modulative property/Result.

The radius of a sector is 1 m
a. Find the area of a 1° sector of the circle.
b. What is the area of the circle containing the sector?
c. If 360 of the 1° sectors of the circle are placed side by side to approximate a parallelogram, what is the approximate area of the parallelogram?
d. What is the difference of the areas in parts (b) and (c) as a percentage of the entire circle?

Answers

I’m pretty sure it’s d but I’m not sure

The population of a city decreases by 2.5% per year. If this year's population is 237,000, what will next year's population be, to the nearest individual?

Answers

231075 All you got to do is 237,000 - 2.5%

pleasee help me i will give you brainliest

Answers

Answer:

40

Step-by-step explanation:

6=110 1=40 because it's not gonna be a higher character

The product of 1 1/2 and 2 is less than, equal to, or greater than 2

Answers

Answer:

The answer is 1 1/2 < 2

Step-by-step explanation:

If we convert 1/2 into a decimal, we would get .5. Add that to 1 and we get 1.5. Therfore, 2 > 1.5

Calculate the finance charge for a credit card that has an average daily balance of Php5,600 and a monthly interest rate of 1.35 %

Answers

Answer:The simplest way to calculate a finance charge is: balance X monthly rate

Step-by-step explanation:

i thinkk

500 X .015 = $7.50

The finance charge for a credit card that has an average daily balance of 5,600 and a monthly interest rate of 1.35 % is $75.6.

What is the finance charge?

The finance charge is the product of an average daily balance to the monthly interest rate.

finance charge = balance x monthly rate

The simplest way to calculate a finance charge = balance x monthly rate

= 5,600 x 0.0135

= $75.6

Thus, the finance charge for a credit card that has an average daily balance of 5,600 and a monthly interest rate of 1.35 % is $75.6.

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Other Questions
Suppose you make the following deposits into an account earning 2.1%: $12,000 today followed by $6,000 each year for the next 7 years (so the last cash flow is at year 7). How much will you have in the account after 10 years? Round to the nearest dollar. My Home Courses Catalog and Study Tools Rental Options College Success Tips Career Success Tips Help Give Feedback Homework (Ch 17) Suppose that Creamland and Dairy King are the only two firms that seit ice cream. The following payoff matrix shows the profe (in millions of dollars) each company will eam depending on whether or not it advertise: Dairy King Adverse Deest Adv Adverte Creamland 11,4 10,10 Does Advert4.19 For example, the upper night cell shows that if Creamland advertises and Dairy King doesn't advertise, Creamland will make a profit of $19 min, and Dairy King will make a profit of $4 million. Assume this is a simultaneous game and that Creamland and Dairy King are both profit-maximizing frems Creamland decides to advertise, it will earn a profit of million if Dairy King advertises and a profit of mition if Dairy King does It Creamland decides not to advertise, et will earn a profit of million it Dairy King advertises and a profit of minif Dairy King does not advertise Dairy King advertises, Creansland makes a higher profit if it chooses to advertise Dairy King doesn't advertise, Creamland makes a higher profit if it c net to advertise Suppose that beh firms start off not advertieng. If the forms act indepenoemwegies wit they end up choosing t A-Z Rental Options College Success Tips Career Success Tips Give Feedback mon if Dairy King advertises and a profit of If Creamland decides not to advertise, it will earn a profit of does not advertise. If Dairy King advertises, Creamland makes a higher profit if it chooses 17 Dairy King doesn't advertise, Creamland makes a higher proftitit chooses Suppose that both firms start off not advertising. If the firms act independently, what strategies will they end up choosing? Creamland will choose to advertise and Dairy King will choose not to advertise. Both firms will choose not to advertise. O Creamland will choose not to advertise and Dairy King will choose to advertise. Both firms will choose to advertise Again, suppose that both firms start off not advertising. If the firms decide to collude, what strategies will they end up choosing? Both firms will choose not to advertise. Creamland will choose to advertise and Dairy King will choose not to advertise Both will choose to advertise Creamland will choose not to advertise and Dairy King will choose to advertise. 28 Stv RA million if Dairy King A-Z A YO Suppose that Creamland and Dairy King are the only two firms that sell ice cream. The following payoff matrix shows the profit (in millions of dollars) each company will eam depending on whether or not it advertises: Dairy King Advertise Doesn't Advertise Advertise 6,6 Creamland 19,4 10,10 Doesn't Advertise 4,19 For example, the upper right cell shows that if Creamland advertises and Dairy King doesn't advertise, Creamland will make a profit of $19 million, and Dairy King will make a profit of $4 million. Assume this is a simultaneous game and that Creamland and Dairy King are both profit-maximizing firms. If Creamland decides to advertise, it will earn a profit of million if Dairy King advertises and a profit of million if Dairy King does not advertise. million if Dairy King advertises and a profit of $ million if Dairy King If Creamland decides not to advertise, it will earn a profit of does not advertise. uues not auveruse If Dairy King advertises, Creamland makes a higher profit if it chooses If Dairy King doesn't advertise, Creamland makes a higher profit if it chooses Suppose that both firms start off not advertising. If the firms act independently, what strategies will they end up choosing? O Creamland will choose to advertise and Dairy King will choose not to advertise. Both firms will choose not to advertise. O Creamland will choose not to advertise and Dairy King will choose to advertise. O Both firms will choose to advertise. Again, suppose that both firms start off not advertising. If the firms decide to collude, what strategies will they end up choosing? 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B1Bakun Enterprise owns a small bottle shop in SS15, Subang. The following transactions were extracted from the book on 30 September 2021:2019Sept 2 Mr. Bakun, the owner, invested RM40,000 in the bank and RM5,000 cash to start the business.3 Paid rent RM5,000 by cheque.6 Bought goods RM50,152 on credit from PPT Bottle.9 Bought office equipment RM20,500 on credit from Show Tool.13 Returned goods RM1,500 to PPT Bottle.15 Sold goods RM2,120 on credit to Kent Trading.23 Received goods RM100 returned by Kent Trading.29 Paid electricity bill RM300 through bank transfer.30 Paid RM5,000 to owner for his personal use through bank transfer.Required:(a) Enter above transactions into ledger (T-accounts) and balance off the account. 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