A meeting takes place between a diplomat
and fourteen government officials.
However, four of the officials are actually
spies. If the diplomat gives secret
information to ten of the attendees at
random, what is the probability that no
secret information was given to the spies?

Answers

Answer 1

Answer:

The number of ways to choose 10 people out of 14 people is given by 14C10 which is read "14 choose 10"  

Only 1 of these combinations will result in no information being given to any of the 4 spies.  

Can you figure out the probability from these 2 facts?  

Step-by-step explanation:


Related Questions

My sis is having a hard time simplifying a problem. I'm not good at simplifying myself So I cant help her ):P

simplify 48 divided by 2 x 4

Answers

3 x 2 x 2 x 2 x 2 / 2 x 2 x 2

48 / 2 x 4

[48 can be simplified to 24 x 2 and 4 can be simplified to 2 x 2]

24 x 2 / 2 x 2 x 2

[24 can be simplified to 12 x 2]

12 x 2 x 2 / 2 x 2 x 2

[12 can be simplified to 6 x 2]

6 x 2 x 2 x 2 / 2 x 2 x 2

[6 can be simplified to 3 x 2]

3 x 2 x 2 x 2 x 2 / 2 x 2 x 2

please help! circled numbers only. tysm, ILL MARK BRAINLIEST!

Answers

2. 4 2/5
4. 6 3/8
6. 4 5/12
8. 2 1/3
10. 24 2/3
12. 7 5/6
14. 33/5
16. 102/11
18. 81/5
20. 163/7
22. 1295/6
24. 1329/16

Answer:

2) 4 and 2/5

4) 6 and 3/8

6) 4 and 5/12

8) 2 and 1/3

10) 24 and 2/3

12) 7 and 5/6

14) 33/5

16) 102/11

18) 81/5

20) 163/7

22) 1295/6

24) 1329/16

Step-by-step explanation:

Hope this helps! Pls give brainliest!

what is the answer to the equation 5x+10=25

Answers

Answer:

x=7

Step-by-step explanation:

Answer:

x = 3

Step-by-step explanation:

5x+10=25

you want x to be by itself

5x=15

so subtract 10 from both sides

then dived 5 from 15

x=3

find the 8th term 3,6,12

Answers

3
3
,
6
6
,
12
12
,
24
24
,
48
48
,
96

Answer:

3,6,12,24,48,96 ,192 ,384

Step-by-step explanation:

Rewrite the equation below so that it does not have fractions.
3/4x-2=2/5

Do not use decimals in your answer.

Answers

5x = 16

Step-by-step explanation:

¾ x - 2 = ⅖

¾ x = ⅖ + 2

¾ x = (2 + 10)/5

¾ x = 12/5 → (multiplied by 20)

20(¾)x = 20(12/5)

5(3)x = 4(12)

15x = 48 → (divided by 3)

5x = 16

over 2 days, students completed a math test. in the first test. there were 50 questions, and one student got 39 questions correct. which percent equation correctly represents this situation?​

Answers

Answer:

78%

Step-by-step explanation:

39/50 x2 → 78/100 so 78%

Use the graph below to find the x- and y-intercepts.

x -intercept : 2 ; y- intercept : 6

x-intercept: - 3 ; y - in intercept: 6

x-intercept : 6 y- intercept : -3

x-intercept : 6 y - i intercept : 2

Answers

Answer:

the y intercept is -3

the x intercept is 6

looks like your 3rd answer listed.

PLEASE HELP!!!

Please answer this

Answers

Answer:

angle 2 and angle 7

.........they are exterior alternate angles

Please help it’s due in tomorrow and I have no idea how to do it :).

Answers

Answer:

-2

Step-by-step explanation:

27^m÷243^n can be written as

3^3 ÷ 3^5

the base are both 3, make it one 3

3^3-5

= 3^-2

=3^a is 3^-2 and a is -2

Rates & proportional relationships: Quiz 1
Which equation has a constant of proportionality
equal to 10?
Choose 1 answer:
2
y = х
20
30
y = -
3
©
12
y = -
2
5
Y= T

Answers

Answer:

The answer is B. when you do 30 / 3 you get 10

For the return trip, Moses suggests taking a shortcut that will save 4 miles from the total 40-mile hiking distance. He calculates that they will need to average 6 miles per day over the 4 days coming back, because 4 - 4 - 6. Is Moses correct?​

Answers

Moses is incorrect.
40miles - 4 miles = 36 miles
36 miles/4 days = 9 miles/day

Before polling the students in Scion School of Business, a researcher divides all the current students into groups based on their class standing, such as freshman, sophomore, and so on. Then, she randomly draws a sample of 50 students from each of these groups to create a representative sample of the entire body in the school.

Required:
What is the sampling method the researcher is practicing?

Answers

2500 is the answer got it

Evaluate the expression when b= 7 and x = -3. -b + 4x​

Answers

Answer:

-19

Step-by-step explanation:

-7+4×-3

-7-12

-19

Maybe it's correct

A farmer wants to create a rectangular pen with an area of 16 m2 using the least amount of fencing. He should build the pen in the shape of a square.

Question 17 options:
A) True
B) False

Answers

The answer is:
B. False

what is x? 12=-4(-6x-3)

Answers

Answer:

Step-by-step explanation:

-4(-6x - 3) = 12

24x + 12 =12

24x = 0

x = 0

what is 75 divided by 5

Answers

75 divided by 5 = 15

Answer: 75 / 5 = 15

Ways to write it:

75 ÷ 5 = 15

75 over 5 = 15

75⁄5 = 15

whats the missing number if you have 3/10 =1/5

Answers

Answer:

1/10?

Step-by-step explanation:

I dont really understand what you are aasking here.

If L ll m, solve for x

Answers

Answer:

x = 26

Step-by-step explanation:

1. First, we should realize that the angle with 5x + 7 and the angle with 8x - 71 are alternate exterior angles, so they're congruent.

This means that 5x + 7 = 8x - 71

2. (Solving)

Step 1: Subtract 8x from both sides.

[tex]5x + 7 - 8x = 8x - 71 - 8x[/tex] [tex]-3x + 7 =-71[/tex]

Step 2: Subtract 7 from both sides.

[tex]-3x + 7 - 7 = -71 - 7[/tex] [tex]-3x = -78[/tex]

Step 3: Divide both sides by -3.

[tex]\frac{-3x}{-3}=\frac{-78}{-3}[/tex] [tex]x = 26[/tex]

Step 4: Check if solution is correct.

[tex]5(26)+7=9(26)-71[/tex] [tex]130 + 7 = 208 - 71[/tex]  [tex]137 = 137[/tex]

Therefore, x = 26.

Please help!!! Last question I have

(Will mark most Brainly)

Answers

Answer:

Assuming they don't use the budget for anything else, the greatest number of people they may invite and still stay within the budget is 107 people.

For the first year of a new job, you make P70,000. You get an annual raise each year of 3%. Find out total amount of money you will make in 5 years.

Answers

Answer:

P371,639.507

Step-by-step explanation:

First year: 70,000

Second year: 72,100

Third year: 74,263

Fourth year: 76,490.89

Fifth year: 78,785.6167

If you plus them all the total is 371,639.507

4^3 • 5^3 and 20^3, Are the expressions equivalent? Yes or no?

Answers

Answer:

Yes

Step-by-step explanation:

4³ × 5³

(4 × 5)³

=20³

Both are equivalent

Hey there!

4^3 * 5^3 = ?

4^3

= 4 * 4 * 4

= 16 * 4

= [64]

5^3

= 5 * 5 * 5

= 25 * 5

= [125]

125 * 64

= [8,000]

20^3

= 20 * 20 * 20

= 400 * 20

= 8,000

8,000 = [8,000]

Therefore, this statement is TRUE so your answer is: [YES]

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

this is what my techer told me to do "Show a different way to solve 99x76"

Answers

Answer:

I think it's 76×99

Step-by-step explanation:

hope it helps

sec^2 (pi/2 - x) * [sin^2 (x) - sin^4 (x)]

Answers

Answer:

Explanation:

Identity:  sec2θ=1+tan2θ

sec2(π2−x)−1=1+tan2(π2−x)−1

=tan2(π2−x)

Identity: tan(π2−θ)=cotθ

=cot2x

the measure of a is 116 degrees the measure of b is 3 times the measure of c

Answers

is there more too that question?

Find the slope between points (–2, 6) and (6, 2).

Answers

Answer:

slope of the line is =y2-y1/x2-x1

=2-6/6+2

=-4/8

=-1/2

=-(1/2)

which is an equivalent fraction to 0.265

Answers

Answer:

32/125

Step-by-step explanation:

Answer:

Steps to convert 0.265 into a fraction:

Write 0.265 as  

0.265/1

Multiply both the numerator and denominator by 10 for each digit after the decimal point:

0.265/1  =  

0.265 x 1000/1 x 1000

=  265/1000

In order to reduce the fraction we find the Greatest Common Factor (GCF) for 265 and 1000. A factor is just a number that divides into another number without any remainder.

The factors of 265 are: 1  5  53  265

The factors of 1000 are: 1  2  4  5  8  10  20  25  40  50  100  125  200  250  500  1000

The Greatest Common Factor (GCF) for both 265 and 1000 is: 5

Now to reduce the fraction we divide both the numerator and denominator by the GCF value.

265/1000 =  265 ÷ 5/1000 ÷ 5

 =  

53/200

Simply the answer is 53/200

Hope This Helps!!!

Six plus -2 times a number is the same as 26 plus six times the same number.

Answers

Step-by-step explanation:

let the number be x

and according to question,

six + 2 times a number = 2x + 6

26 + 6 times a number = 6x + 26

2x + 6 = 6x + 26

-6x + 2x = 26 - 6

-4x = 20

x = 20/4 = 5

x = 5

therefore, the number is 5.

hope this answer helps you dear...take care and may u have a great day ahead!

The formula for the area of a trapezoid is A=1/2(b1+b2)h. Solve the equation for b1

Answers

2A=b1 +b2
So
b1= 2A-b2

How do I simplify (9 square 3-4 square+2)-(x square 3+3 square 2 +1

Answers

Answer:

8x³ - 3x² - 4x + 3

Step-by-step explanation:

first, eliminate the parenthesis. you can just drop the first set, but you have to distribute the negative through the second set.

9x³ - 4x + 2 - x³ - 3x² +1

then combine like terms (terms with the same exponent)

8x³ - 4x + 3 - 3x²

then put it in the correct order

8x³ - 3x² - 4x + 3

PLEASE HELP ME!! WILL GIVE BRAINLIEST PLEASEEE!!
In order to prove that the diagonals of a rhombus are perpendicular to each other using the following figure, which triangle congruency postulate is used?

Answers

Answer:

SSS Postulate

Step-by-step explanation:

took the test and got it right! good luck! God bless you!

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