i really need help!!!

Jason, Lewis, and Nora will be placed in a line along with 7 other people.


What is the probability that they will be next to each other in any order?
Give percentage

Answers

Answer 1

Answer:

[tex]Pr = 6.67\%[/tex]

Step-by-step explanation:

Given

[tex]n = 10[/tex] i.e. 10 people

Required

Probability of being next to each other

First, we calculate the total possible arrangements (without any restriction)

[tex]Total = n![/tex]

[tex]Total = 10![/tex]

If the three are to be next to each other,

First, we arrange the three

[tex]r_1 = 3![/tex]

Now, the 3 will be seen as 1; so, we have a total of 8 people i.e. (1 + 7 others)

The arrangement is:

[tex]r_2 =8![/tex]

So, the total arrangement, when they have to be next to one another is:

[tex]r = r_1 * r_2[/tex]

[tex]r = 3! * 8![/tex]

The probability is:

[tex]Pr = \frac{r}{n}[/tex]

[tex]Pr = \frac{3! * 8!}{10!}[/tex]

Expand

[tex]Pr = \frac{3*2*1 * 8!}{10*9*8!}[/tex]

[tex]Pr = \frac{3*2*1}{10*9}[/tex]

[tex]Pr = \frac{6}{90}[/tex]

[tex]Pr = 0.0667[/tex]

Express as percentage

[tex]Pr = 0.0667 * 100\%[/tex]

[tex]Pr = 6.67\%[/tex]


Related Questions

Evaluate by finding the value of x. 2/3x = 24

Answers

Answer:

x = 36

Step-by-step explanation:

A chessboard is made of small squares of equal side lengths. If the perimeter of the chessboard is 20 cm, what could be the value of (a+b)?


a. 10 cm
b. 6 cm
c. 8 cm
d. 11 cm

Answers

See the solution in the picture

hi im so sorry to bother you but can someone please help me with this please
I’ll give you the brainly if it’s correct im so sorry

Answers

Answer:

Question 1: ∠3 and ∠7 are corresponding angles.

Question 2: ∠2 and ∠8 are alternate interior angles.

Question 3: ∠4 and ∠6 are alternate exterior angles.

Question 4: ∠2 is congruent to ∠6.

Question 5: ∠8 is not congruent to ∠1.

Question 6: If ∠2 measures 132°, the measure of ∠7 would be 48°.

Kim is competing in a 40-mile bicycle race. She has completed 65% of the race. How many miles does Kim have left to cycle? A. 12 miles B. 14 miles C. 26 miles D. 28 miles​

Answers

She completed 65% so she has 35% more to go. ( 100% - 65% = 35%)

Multiply the length of the race by the percentage left:

40 x 0.35 = 14

She has 14 miles left.

The answer is B. 14 miles

It seems simple but I need help

Answers

Answer:

[tex]\huge\boxed{Answer\hookleftarrow}[/tex]

[tex]( \frac{2}{5} ) {}^{2} \\ = \frac{2 {}^{2} }{5 {}^{2} } \\ = \frac{4}{25} \\ = 0.16 [/tex]

The answer = 4/25 in fraction form or 0.16 in standard form.

# ꧁❣ RainbowSalt2²2² ࿐

Giving brainliest for correct answer!

Answers

Answer:

10    7

20   14

30   21

Step-by-step explanation:

Catherine owns a bakery. She takes x minutes to bake a tray of cookies. The time it takes
is less than 18 minutes. Which inequality represents this?
A. 18 > x
B. x = 18
C. X > 18
D. 18.< x

Answers

A. Is the correct answer I could tell you why but I don’t care enough to.
The answer should be A

Solve the inequality for x. 3x + 9 < 3

Answers

Answer:

x > - 2

Step-by-step explanation:

3x + 9 < 3

3x (+ 9 - 9) < 3 - 9

3x < -6

3x/3 < -6/3

x > -2 (dividing by negative numbers, you reverse the inequality sign at the end of an equation)


a. This dot plot shows the ages of students in a swimming class. How many students
are in the class?

Based on the dot plot, do you agree with each of the following statements? Explain
your reasoning.

b. The class is an adult swimming class.

C. Half of the students are between 2 and 3 years old.

Answers

Answer:16 students and C is right

Step-by-step explanation:

Add all the dots to get the number of students. C is correct because it is ages in months,not years.

Answer:

bbbbbb

Step-by-step explanation:

b ba bbssnbsn ss

f(x) = 2x^2
Find f(-3)

Answers

Answer:

36

Step-by-step explanation:

f(x)=2x^2

f(-3)=2(-3)^2

f(-3)= -6^2

f(-3)=36

Answer:

Step-by-step explanation:

f(x) = 2 x^2

f(-3) means that wherever there is an x on the right, put in - 3

f(-3) = 2 (-3)^2  

(-3)^2 = 9

f(-3) = 2 * 9

f(-3) = 18

pleas help due tonight​

Answers

Answer:

105.6 ft

Step-by-step explanation:

The perimeter of a shape is just the lengths of its sides added up. Since a square has 4 equal sides, and a side is 26.4, the answer is 26.4 * 4 = 105.6 ft

The perimeter is 105.6 ft. The perimeter is the distance around the shape, which is the sum of all the sides. Since this is a square, all sides are equal, therefore since one side is 26.4, all is the sides are 26.4.

Add up all of the sides to get the perimeter.

26.4 + 26.4 + 26.4 + 26.4 = 105.6

can someone help me find the slope . and tell me how you got the steps and answer. question-What is the slope of the line that passes through the points (-4, -8) and (-10, 8)?

Answers

Answer:

m = -8/3

Step-by-step explanation:

Keep in mind that slope is defined as m = rise / run, or, alternatively,

m = (change in y ) / (change in x).

If we start at (-10, 8) and move to (-4, -8),

the x coordinate is seen to increase by 6 from -10 to -4, and

the y coordinate                   decrease by 16 from 8 to -8.

Thus, the slope of the line segment connecting these two points is

m = -16 / 6, or m = - 8/3

FIND ANDGLE RPQ
THE NUMBER ON TOP IS 98 and the bottom is 110

Answers

Answer:

152

Step-by-step explanation:

this is because there is 360 degrees in a circle and if you subtract 98 and 110 from 360 you get 152.

Find the value of x.
10
53
HELP PLEASE!

Answers

Answer:

13.3

Step-by-step explanation:

By using sinus rule

who was correct and who was wrong?

Answers

Mary

Because according to PEMDAS, Parenthesis always start first

Using the list below, what is the ratio of goats to the total number of animals at the zoo? Animals at a Petting Zoo Chickens 2 Deer 4 Donkeys 3 Goats 6

Answers

Answer:

Ratio of goat to total number of animals at the zoo = 2 : 5

Step-by-step explanation:

Chickens = 2

Deer = 4

Donkeys = 3

Goats = 6

Total animals at the zoo = 15

what is the ratio of goats to the total number of animals at the zoo?

Ratio of goat to total number of animals at the zoo = 6 : 15

= 6/15

= 2/5

Ratio of goat to total number of animals at the zoo = 2 : 5

solve the equation. which out of the four choices is correct

Answers

ANSWER = -10
good luck :)))))

Plz help me giving brainliest

Answers

Answer:

B) this time im 90% sure

Step-by-step explanation:

Answer:

B - The interior angles of a quadrilateral add up to 360°

Step-by-step explanation:

A square is a Quadrilateral and when you add up

90+90+90+90

you get...

360

HELP ASAP, LINKS AND ABSURD ANSWERS WILL BE REPORTED! I WILL MARK BRAINLIEST!!

Answers

Answer:

6/10 or 3/5

Step-by-step explanation:

In
group of 100 persons, 72 people can speak
English and 43 can speak French. How many
can speak English Only, How many can speak
French Only and how many can speak both English and French

Answers

Step-by-step explanation:

Let A be the set of people who speak English.    

B be the set of people who speak French.  

A - B be the set of people who speak English and not French.  

B - A be the set of people who speak French and not English.  

A ∩ B be the set of people who speak both French and English.  

Given

n(A) = 72       n(B) = 43       n(A ∪ B) = 100  

Now, n(A ∩ B) = n(A) + n(B) - n(A ∪ B)  

 = 72 + 43 - 100  

= 72 + 43 - 100  

= 115 - 100  

= 15

Therefore, Number of persons who speak both French and English

= 15  

n(A) = n(A - B) + n(A ∩ B)  

⇒ n(A - B) = n(A) - n(A ∩ B)  

= 72 - 15  

= 57

and n(B - A) = n(B) - n(A ∩ B)  

 = 43 - 15 = 28  

Therefore, Number of people speaking English only = 57  

Number of people speaking French only = 28

Let A be the set of people who speak English.    

B be the set of people who speak French.  

A - B be the set of people who speak English and not French.  

B - A be the set of people who speak French and not English.  

A ∩ B be the set of people who speak both French and English.  

Given

n(A) = 72       n(B) = 43       n(A ∪ B) = 100  

Now, n(A ∩ B) = n(A) + n(B) - n(A ∪ B)  

= 72 + 43 - 100  

= 72 + 43 - 100  

= 115 - 100  

= 15

Therefore, Number of persons who speak both French and English

= 15  

n(A) = n(A - B) + n(A ∩ B)  

⇒ n(A - B) = n(A) - n(A ∩ B)  

= 72 - 15  

= 57

and n(B - A) = n(B) - n(A ∩ B)  

= 43 - 15 = 28  

im not sure if its right but- q-q

HELP ILL GIVE BRAINLIEST

Answers

Answer:

0.29

Step-by-step explanation:

14/25 * 4 = 56/100

                    |

                   \ /

                   56

56 + 15 = 71

100 - 71 = 29

29% = 0.29

Which expression can be substituted for y in the top equation of the
following system to solve the system by substitution? What is the solution?
3x - 5y = 1
3x - y = -7
I currently cannot download any files.

Answers

Answer:

Y=7+3x, x=-3, y=-2

Step-by-step explanation:

3x-5y=1. Equation 1

3x-y=-7. Equation 2

-y=-7-3x isolate for y in equation 2

y=7+3x multiplied by -1 to get positive y

3x-5(7+3x)=1 substitute y value of equation 2 (7+3x) into equation 1

3x-35-15x=1

-12x=36

x=-3

solve for y.

3x-5y=1

3(-3)-5y=1

-9-5y=1

-5y=10

y=-2

Find the value of x. Round to the
nearest tenth.
X
12
x = [?]

Answers

Answer:

63.4

Step-by-step explanation:

Tan = opposite/adjacent

Tan x = tan-1

Tan-1 (6/12)

=63.43494882

63.4

what are the X intercepts for y = 4sin2x

Answers

To calculate x intercepts, make the y=0.

0 = 4sin(2x)

But I apologize I do not know how to calculate that so please look at the screenshot

Find the area of the compound figure. Round your answer to 2 decimal places if required. (Use π = 3.14)

Hello! I’ve been stuck on this problem for a while and—though I know the answer—I’m not sure how to get to it? Please help!

Answers

Answer:

Perimeter is 3 + 3 +3 +4 +5 = 18 feet

Area = 3*3 = 9, 1/2*3*4 = 6, 9 + 6 =15 square feet

perimeter = 2.5 +2.5+ 2.5+2.5+0.5+0.5 = 11 meters

Area = 3*.5 = 1.5, 3*2=6, 6+1.5 = 7.5 square meters

perimeter = 3.14*2*3 = 18.84 +8 = 26.8 inches

Area = 6*4 = 24 + 3.14*3^2 = 28.26 = 28.26 +24 = 5

123456762123456787654321`4567898 x 1
whats the answer

Answers

Answer:

123456762123456787654321`4567898

Answer:

123456762123456787654321`4567898

Step-by-step explanation:

if h= 19 inches, l= 27 inches, and w= 16 inches, what is the area of the figure shown above?
a. 299.5 square inches
b. 945 square inches
c. 665 square inches
d. 688.5 square inches

Answers

Answer:

That's easy! All you have to do is multiply the three numbers.

A = L * W * H

A = 25 * 14 * 19

A = 6650in²

Step-by-step explanation:If h = 19 inches, l = 25 inches, and w = 14 inches, what is the area of the figure shown above?

A.

587.5 square inches

B.

608 square inches

C.

825 square inches

D.

276.5 square inches

how do i do this? please help with answer and explanation

Answers

Answer:

x=7

Step-by-step explanation:

180=25x+5

175=25x

7=x

Answer:

x = 7

Step-by-step explanation:

Now we have to,

→ Find the required value of x.

We know that,

→ Sum of all angles in a line is 180°.

Forming the equation,

→ (13x + 2) + (12x + 3) = 180°

Then the value of x will be,

→ (13x + 2) + (12x + 3) = 180°

→ 13x + 2 + 12x + 3 = 180°

→ (13x + 12x) + (2 + 3) = 180°

→ 25x + 5 = 180°

→ 25x = 180 - 5

→ 25x = 175

→ x = 175/25

→ [ x = 7 ]

Hence, the value of x is 7.

Find the length of the third side. If necessary, write in simplest radical form.
2V10
3


20 POINTS

Answers

sorry i do not understand the question

Answer:

2V10 = 6.324 I have to write this

Write an inequality for the following.
Jackie spent no more than $40 on a video

Answers

Answer:

x ≥ $40

Step-by-step explanation:

Jackie didn't spend more than $40 on a video.

x ≥ $40

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