In how many ways can you
select 3 books to bring on
vacation from a group of 11
books?

Answers

Answer 1

Answer:

165

Step-by-step explanation:

Answer 2

In 165 ways i can select 3 books to bring on vacation from a group of 11 books.

What is Combination?

A combination is when you choose data from a group without any order or sequence. If the group of data is relatively lesser, you can calculate the number of possible combinations.

According to the question

Select 3 books to bring on vacation from a group of 11 books.

By using combinations formula

[tex]^{n} C _{r}=\frac{n!}{r!(n-r)!}[/tex]

[tex]^{11} C_{3}[/tex] = [tex]\frac{11!}{3!(11-3)!}[/tex]

= [tex]\frac{11.(10)(9)(8!)}{3!.8!}[/tex]

Cancelling out 8! from denominator and numerator

= [tex]\frac{11(10)(9)}{3(2)(1)}[/tex]

= 165

Thus, In 165 ways i can select 3 books to bring on vacation from a group of 11 books.

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Related Questions

Find the prime factorization of 1,148 using a factor tree

Answers

Answer:

Prime Factors of 1148 = 2, 2, 7, 41

Which is the same as = 2² x 7 x 41

The dollar value v (t) of a certain car model that is t years old is given by the following exponential function.
v (t) = 19,900(0.86)^t
Find the initial value of the car and the value after 11 years.
Round your answers to the nearest dollar as necessary.

Answers

Answer:

v(0) = 19,900, v(11) = 3,787.36

Step-by-step explanation:

v(0) = 19,900 (0.86)^0 = 19,900 * 1 = 19,000

v(11) = 19,900 (0.86)^11 = 19,900 * 0.190319 = 3,787.36

Ken can walk 6 dogs in 4 hours. How many dogs can Ken walk in 10 hours?

Answers

Answer: 15 Dogs

Step-by-step explanation:

1.) Set up a ratio!

6 Dogs =    ?

4 Hours    10 Hours

2.) Cross Multiply

6x10=60

60/4= 15

Write the fraction as a product of a whole number and a unit fraction.

7/8

Answers

The unit fraction of 7/8 is 1/8

What was the subject about cartoon “Andrew Johnson kicking the Freedmen’s Bureau” by Thomas Nast

Answers

Answer:

Thomas Nast drew a cartoon of "The Grand Masquerade Ball" featuring large sketches of many of the celebrities of the day

Step-by-step explanation:

TUT

ANSWER THEM PLEASEE I HAVE 20 MINSS

Answers

GIRLL I DONT SEE YOUR PIC

Lillian drew a design inside a circle.
Which measurement is closest to the
circumference of the circle?
F 25 cm H 50 cm
G 40 cm
J 32 cm

Answers

Answer:

H (50cm)

Step-by-step explanation:

Since 8 is the radius, 16 is the diameter. The formula for the circumference of a circle is diameter times pi, so 16pi is around 50

Find the probability of the indicated event if P(E) = 0.25 and P(F) = 0.40.
Find P(E or F) if P(E and F) = 0.05.
P(E or F) = (Simplify your answer.)

Answers

Answer:

[tex]P(E\ or\ F) = 0.60[/tex]

Step-by-step explanation:

Given

[tex]P(E) = 0.25[/tex]

[tex]P(F) = 0.40[/tex]

[tex]P(E\ and\ F) = 0.05[/tex]

Required

Determine P(E or F)

This is calculated using:

[tex]P(E\ or\ F) = P(E) + P(F) - P(E\ and\ F)[/tex]

[tex]P(E\ or\ F) = 0.25 + 0.40 - 0.05[/tex]

[tex]P(E\ or\ F) = 0.60[/tex]

Find angle Picture below

Answers

Answer:

14°

Step-by-step explanation:

Need 1 more brainliest

HOW DO YOU FIND PERCENT INCREASE

Answers

Answer:

Step-by-step explanation:

First: work out the difference (decrease) between the two numbers you are comparing.

Decrease = Original Number - New Number

Then: divide the decrease by the original number and multiply the answer by 100.

% Decrease = Decrease ÷ Original Number × 100

If your answer is a negative number, then this is a percentage increase

A deck of 40 cards contains 20 blue and 20 red cards. Each color has cards numbered 1 to 20.

Which events are independent? Choose all that apply.

Answers

Answer:

A red 5 is chosen from the deck. The card is put back into the deck and the a red card is chosen.

Step-by-step explanation:

An independent event is one whose outcome is not dependent on any other event. There are two types of cards in the deck. If a red card is selected it will be from the series 1 - 20, if the card is put back into deck and then again a red card is selected it will be again from the series 1 - 20. This is an independent event since its outcome is same irrespective of the events.

This is an independent event since its outcome is the same irrespective of the events.

What are independent and dependent variables?

Even though everything can be almost always related to its reason, when we talk about two related things, there might happen that one of those things is dependent on the other.

If a variable is taking its values independently of any visible direct cause, then that variable is called an independent variable.

The variables that take their values based on some other variables' values are called dependent variables.

A deck of 40 cards contains 20 blue and 20 red cards. Each color has cards numbered 1 to 20.

This is an independent event since its outcome is the same irrespective of the events.

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Next week, Josephine wants: to spend the same total amount of time, but practice the same number of hours each of the 4 days. How many hours would Josephine practice each day? All measurements are rounded to the nearest hour 1/4.

Answers

Answer:

The answer is 2 hours

Step-by-step explanation:

First you have to add up all the points which would be;

1 1/2 + 1 1/2+ 2 1/2+ 2 1/2= 8 hours

Next you have to divide by how many points to find AVERAGE;

8 hours divided by 4 points= 2 hours average

So in total, she will practice 2 hours every day

Solve for x, round to the nearest tenth. find x x =

Answers

Answer:

64.2

Step-by-step explanation:

Use tan to find the measure of x.

tan = 0pposite/adjacent

opposite = 29

adjacent = 14

so:

[tex]tan(x)=29/14\\x = tan^{-1} (29/14)\\x = 64.2[/tex]

Answer:

x = 64.2°

Step-by-step explanation:

tan x° = 29/14

14 · tan x° = 29

tan x° = 29/14

arctan(x) = 64.2°

What's 2|–9| – |–2|? Question 14 options: A) –18 B) –20 C) 16 D) 20

Answers

16

find the absolute values ie. 9 and 2

multiply 9 by 2 and subtract 2 by 18

Which expression is equivalent to 9x + 4y +5+20 + 8?
17 + 6 + 5
130 + 7 + 8
110 + 4y + 13
90 | 6y + 13

Answers

Step-by-step explanation:

11x+4y+13

Hope it helps you

Factor the common factor out of each expression 64p - 24

Answers

Answer: 8(8p-3)

Step-by-step explanation:

64p and 24 are both divisible by 8

64p/8 = 8p

24/8 = 3

8(8p) - 8(3)

Distributive property

8(8p-3)

solve for x
35+.8x=43-7x

Answers

Answer:

x = 1.02564

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of Equality

Algebra I

Terms/Coefficients

Step-by-step explanation:

Step 1: Define

35 + 0.8x = 43 - 7x

Step 2: Solve for x

[Addition Property of Equality] Add 7x on both sides:                                 35 + 7.8x = 43[Subtraction Property of Equality] Subtract 35 on both sides:                    7.8x = 8[Division Property of Equality] Divide 7.8 on both sides:                             x = 1.02564

I need help with this question ​

Answers

Answer:

36-4-2x, she will have 8 rolls of toilet paper left over

Step-by-step explanation:

36=total-4= the four given away,2x= the number of rolls used per month. 36-4=32. 2(12) 1 year]= 24. 32-24=8

Tara earned $320 this month and saved $96. Write a ratio statement to describe how much Tara saved versus earned.

Answers

Answer:

3: 10

Step-by-step explanation:

saved: earned

96: 320

simplify by dividing both sides by the same thing just like a fraction:

96: 320

24: 80

6: 20

3: 10

A local pizza place sends you online coupons. You can't combine the coupons and are trying to choose from two deals: $7.41 per medium two-topping pizza or 22% off the regular price of $11 for a medium two-topping pizza. Which deal is better and when?

Answers

Answer:

Step-by-step explanation:

W1

A man ears $15.50 per hour with time and a half for overtime and he worked 46 hours during a recent week. Find his gross pay for the week
The man's gross pay for the week was $
(Round to the nearest cent as needed)

Answers

Answer:

525267262525226

Step-by-step explanation:

594944+757548484-848484%

write the equation of a line that is parallel to y= 1/2x -4 and that passes through the point (9, -6)​

Answers

Answer:

Step-by-step explanation:

y = ½x-4

slope of line is ½

slope of any parallel to the line is also ½

point-slope equation for line of slope ½ that passes through (9,-6):

y+6 = ½(x-9)

the Gonzales family has three children on summer break they went to an amusement park they bought 3 children tickets for 18.50 and 2 adults tickets if they spent a total of 104.50 how much was the price of the parents

(a) write an equation to represent this situation use x to represent the price of each adult tickets



(b) how much was the price each adult tickets ​

Answers

Answer:

a. 18.50 + x = 104.50

b. x = 86

Step-by-step explanation:

To get the price of the adult tickets use inverse operation and subtract 18.50 on both sides. When you subtract 18.50 from 104.50 you should get 86. so x = 86.

how many terms are in the expression 5x+3y-2z​

Answers

Answer:

three?

Step-by-step explanation:

3

Thats the answer

.

.

.

.

.

During a charity walk, lunch was served from 12:00 PM until 2:10 PM. How long was lunch served?

Answers

Answer:

2 hours and 10 minutes

Step-by-step explanation:

Answer:

Step-by-step explanation:

2 hours and 10 mins!

simplify (2x+y)(3x²+2xy+5y²)​

Answers

Answer:

Step-by-step explanation:

6x3 +4x2y + 10xy2 + 3x2y + 2xy2+ 5y3

Solving like terms

6x3 + 7x2y + 12xy2 + 5y3

The simplified form of the expression is 6x³+5y³+12xy²+7x²y

What is an expression?

Expressions in math are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between.

Given is an expression, (2x+y)(3x²+2xy+5y²)​, we need to simplify it,

(2x+y)(3x²+2xy+5y²)​

= 6x³+4x²y+10xy²+3x²y+2xy²+5y³

= 6x³+5y³+12xy²+7x²y

Hence, the simplified form of the expression is 6x³+5y³+12xy²+7x²y

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A dollar bill is 15.5 cm long and 6.5 cm wide. What is the area of
a dollar bill?

Answers

Answer:

I believe the answer is 100.75cm

Let (12,-5) be a point on the terminal side of an angle 0. Find the values of sin e, cose, and tan

Answers

Answer:

Sin = -5/13

Cos = 12/13

Tan = -5/12

Step-by-step explanation:

Calculate what is 365 {365- (365: (365+365)}}?

Answers

Step-by-step explanation:

365{365-(365:(365+365)}}

= 365{365-(365:730)}

= 365{365-0.5}

= 365{364.5}

= 133,042.5

Find angle picture below

Answers

Answer:

T=62

U=33

V=85

Step-by-step explanation:

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