4. There are 10 cheerleading squads performing in a competition. The
order of the performances is determined at random. What is the
probability that your squad performs first and your friend's squad performs
second?​

Answers

Answer 1

Answer:

0.011 or 1/90

Step-by-step explanation:

Since the order of the performances is determined at random the probability of each squad is constant that 1/10

The probability of your squad is 1/10

Given that the first selected was yours (1/10) nine squads are left . Therefore the probability of your friends squad is 1/9.

Hence  the probability that your squad performs first and your friend's squad performs second is (1/10 * 1/9) 1/90 or 0.011


Related Questions

what are the prime factors of 117?

Answers

The answer is

3^2 times 13
3/2 x 13 (3 prime factors, 2 distinct)

a card is drawn at random from a standard 52 card deck has a 1/13 chance of being at 8. What is the probability of the car not being an ace?​

Answers

Answer:

12/13

Step-by-step explanation:

There are 52 cards in the deck

4 are aces

That leaves 52-4  or 48 that are not aces

P(not an aces) = cards that are not aces / total

                        = 48/52

                       =12/13

Answer:

[tex] \frac{12}{13} [/tex]

Answer D is correct

Step-by-step explanation:

[tex]there \: \: \: are = 52 \: \: cards \\ aces \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 4 \: \: cards \\ not \: aces \: \: \: \: \: = 52 - 4 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 48 \\ p \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{48}{52} \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{12}{13} [/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

A diver dives from the board at a local swimming pool. Her height, y, in metres, above the water in terms of her horizontal distance, x, in metres, from the end of the board is given by y= -x^2 + 2x + 3. What is the diver's maximum height?

Answers

Answer:

4 meters

Step-by-step explanation:

Given a quadratic equation in which the coefficient of [tex]x^2[/tex] is negative, the parabola opens up and has a maximum point. This maximum point occurs at the line of symmetry.

Since the divers height, y is modeled by the equation

[tex]y= -x^2 + 2x + 3[/tex]

Step 1: Determine the equation of symmetry

In the equation above, a=-1, b=2, c=3

Equation of symmetry, [tex]x=-\dfrac{b}{2a}[/tex]

[tex]x=-\dfrac{2}{2*-1}\\x=1[/tex]

Step 2: Find the value of y at the point of symmetry

That is, we substitute x obtained above into the y and solve.

[tex]y(1)= -1^2 + 2(1) + 3=-1+2+3=4m[/tex]

The maximum height of the diver is therefore 4 meters.

For this week only, you can buy a Dell for $2988, including taxes. Included in the offer is a finance option for 4 years at an annual percentage rate of 3.5%. Find the monthly payment.

Answers

Answer:

$66.80

Step-by-step explanation:

The monthly payment can be computed using the pmt formula in excel spreadsheet as shown below:

=pmt(rate,nper,-pv,fv)

the rate is the interest rate of 3.5% divided by 12 months to show interest rate per month

nper is the number of months it would take to complete the payments which is 4 years multiplied by 12 months i.e 48 months

pv is the cost of the gadget at $2,988

fv is the sum of all month payments which is not unknown

=pmt(3.5%/12,48,-2988,0)=$66.80  

HELP ASAP DUE NOW GIVING BRAINLIST!!!

Answers

3(-3 + 7x) ≤ -93

-3 + 7x ≤ -31

7x ≤ -28

x ≤ -4

Answer: x ≤ -4

-6(1 + 8x) ≥ 138

Multiplying or dividing both sides by a negative number flips the sense of the inequality.

1 + 8x ≤ 138/(-6) = -23

8x ≤ -24

x ≤ -24/8

Answer: x ≤ -3

7(6x - 4) ≥ 6x - 28

42x - 28 ≥ 6x - 28

36x ≥ 0

x ≥ 0

Answer: x ≥ 0

86 ≤ -4(1 - 5x) - 2x

86 ≤ -4 + 20x - 2x

90 ≤ 18x

5 ≤ x

Answer: x ≥ 5

The snake in Tracy's science classroom grew 4 centimeters in 1/4
of a year. At that rate, how much would it grow in 1 full year?

Answers

Answer:

16 cm

Step-by-step explanation:

We can use ratios to solve

4 cm             x cm

----------   = -------------

1/4 year         1 year

Cross multiply

4 * 1 =  1/4 * x

Multiply each side by 4

4*4 = 1/4x*4

16 = x

Answer:

16 cm

Step-by-step explanation:

4x4=16

You ride the metro train 16 times a month to work for $5.25 a day. A monthly pass is $70. Which
would cost less?

Answers

Answer:

Yes it would be Cheaper to get the pass becuse without it your spending 84 dollars and with it your spending 70

Step-by-step explanation:

Answer:

A monthly pass that is $70

Step-by-step explanation:

16*5.25= 84

$84 is greater than $70

Need Help, PLS Explain How to do it Thanks

Answers

_______________________________

Hey!!

Solution,

Radius(r)=1

Area of circle=?

Now,

Area of circle= pi (r)^2

= 3.14* (1)^2

=3.14* 1

=3.14 units^2

So the right answer is 3.14 units^2.

Hope it helps....

Good luck on your assignment

_____________________________

In ΔABC, the measure of ∠C=90°, the measure of ∠A=64°, and AB = 2.7 feet. Find the length of BC to the nearest tenth of a foot.

Answers

Answer:

Applying sine theorem for right triangle ABC, we have:

sin A = BC/AB

=> BC = AB x sin A = 2.7 x sin(64 deg) = ~2.4 (ft)

Hope this helps!

:)  

BC=AB x sinA=2.7 x sin64'=2.4

what is the value of the number 8 in 475.082

Answers

Answer:

8/100 = 2/25 = .08

Step-by-step explanation:

EASY QUESTION, PLZ PLZ PLZ NEED HELP
Topic: Equivalent Fractions

Answers

Answer:

Step-by-step explanation:

For the first row:

Improper fraction: 5/6

Mixed number: 1 1/6

Number line: draw a line that is from 0-3. Fill it in a little bit after 1.

Circle models: draw 2 circles. Split each circle into 6 equal parts. Color in the first circle and then color in 1/6 of the second circle.

For the second row:

Improper fraction: 13/6

Mixed number: 2 1/6

Circle models: draw 3 circles. Split each circle into 6 equal parts. Color in 2 of the circles and then color in 1/6 of the last circle.

For the third row:

Improper fraction: 17/8

Mixed number: 2 1/8

Number line: draw a line that is from 0-3. Fill it in from 0 to a little bit after 2.

For the fourth row:

Improper fraction: 10/8

Mixed number: 1 2/8 or 1 1/4

Number line: draw a line that is from 0-2. Fill it in from 0 to a little bit after 1.

Circle models: draw 2 circles. Split each circle in 8 equal parts. Color in the first circle and then color in 1/8 of the other circle.

For the fifth row:

It's literally just the same as the third row lol.

For the sixth row:

Improper fraction: 5/3

Mixed number: 1 2/3

Circle models: draw 2 circles. Split each circle into 3 equal parts. Color in the first circle and then color in 2/3 of the other circle.

For the seventh row:

Improper fraction: 11/6

Mixed number: 1 5/6

Number line: draw a line that is from 0-2. Fill it in from 0 to right before 2.

Circle models: draw 2 circles. Split each circle into 6 equal parts. Color in the first circle and then 5/6 of the other circle.

For the eighth row:

Improper fraction: 4/3

Mixed number: 1 1/3

Number line: draw a line that is from 0-2. Fill it in from 0 to a little bit after 1.

Circle models: draw 2 circles. Split each circle into 3 equal parts. Color in the first circle and then 1/3 of the other circle.

For the ninth row:

Improper fraction: 9/5

Mixed number: 1 4/5

Circle models: draw 2 circles. Split each circle into 5 equal parts. Color in the first circle and then 4/5 of the other circle.

Hope this helps! Sorry it took me so long lol.

Only do question 5

50 points

Topic: Percentage

Answers

Answer:

.2%

.6%

40.25%

Step-by-step explanation:

There are 100 blocks in a grid so a complete grid is 100 %

a 2/10 out of 1 block is shaded

2/10  out of 100

.2 out of 100

out of 100 means percent

.2 %

b 3/5 out of 1 block is shaded

6/10 out of 100

.6 out of 100

out of 100 means percent

.6%

c 40 /100 + 1/4  out of 1 block

40% + .25 %

40.25%

Calculate the slope of the line through the points V(- 6, 0) and U(4, - 2

Answers

Answer:

hope this helps!!and please let me know if I'm wrong!

Adele mixed 8.3 grams of salt into a pot of soup she was cooking. Before she served the soup, Adele added 6.6 grams of salt. How much salt did Adele put into the soup in all? ​ grams

Answers

Answer:

14.9 grams

Step-by-step explanation:

8.3+6.6=14.9

Find the sum. 1/6+ √6

Answers

Answer:

2.6

Step-by-step explanation:

Answer:

2.6161564..

Step-by-step explanation:

Hello I need help on this question. After you have answered this please can you explain it to me so the i can do these questions in the future. Thank you stay safe

Answers

Answer:

4, 5 and 27.

Step-by-step explanation:

There are 2 cube numbers between 0 and 36 .

They are 8 and 27.

36 - 27 = 9 so the other 2 numbers could be 4 and 5 because they are both factors of 20.

36 - 8 = 28  whose factors are 2 * 2 * 7 which are not factors of 20.

Which are steps in the process of completing the square used to solve the equation? 1 = 2(x2 + 2x) 1 = 2x2 + 4x 2 = 2(x2 + 2x + 1) 3 = 2(x + 1)2 2 = 2(x + 1)2

Answers

Answer: 1 2 and 4 hope this helps

Step-by-step explanation:

Answer:

yes, the correct answers are:

A) 1 = 2(x2 + 2x)

B) 1 = 2x2 + 4x

D) 3 = 2(x + 1)2

Step-by-step explanation:

got it correct in edg 2020 hope this is of help :)

Which of the following is equivalent to
7-2(x + 2) <-4-3(1 - x)?
A. -2x<-17
B. 6 x <-9
C. -5x<-10
D. - X<-16

Answers

Answer:

C

Step-by-step explanation:

For this question you have to solve every inequality. To get the correct answer.

You roll a fair 6-sided die.
What is P(roll greater than 6)?
If necessary, round your answer to 2 decimal places.

Answers

Answer:

1/3

Step-by-step explanation:

product -6 and sum 1 what is the factors

Answers

Answer:

The answer is -2 & 3

Step-by-step explanation:

I need help Please help.

Answers

Answer:

Step-by-step explanation:

Number of students 10

Problem 1. $625 for the bus hire per friday, So 625*4=$2500

Problem 2. 2500/25=$100 each for the whole 4 weeks

Problem 3.

10 students tickets 220= 2200 for all tickets. The bus, 625/10 = $62.5*4= $250 dollars for the whole 4 weeks for the bus so in all each student pays $470 each

20 students, tickets 220=4400 for all tickets. The bus, 625/20=$31.25*4=$125 for the whole 4 weeks for the bus, so in all each student must pay $345 each

30 students, tickets 220 = 6600 for all tickets. The bus, 625/30 =$20.83*4=$83.32 for the whole 4 weeks for the bus, so in all each student must pay $303.32 each

41 students, tickets $160=$6560 for all tickets. The bus, because you need 2 buses at 625 each so $1250 for both buses 1250/41= 30.49*4=$121.96 for the whole 4 weeks for the bus. So in al each student must pay $281.96 each

Hope this is correct

Nadia's bookshelf contains 10 fiction books, two reference books, and five nonfiction books.
What is the probability that she randomly picks up a reference book and then, without replacing it, picks up a nonfiction book?
1
289
10
289
5
136
1
10

Answers

Answer:

10/289

Step-by-step explanation:

hope this helps

The probability of reference book and then, without replacing it, picks up a nonfiction book is 5/136.

What is Probability?

Probability refers to potential. A random event's occurrence is the subject of this area of mathematics.

The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events.

The degree to which something is likely to happen is basically what probability means.

Given:

Nadia's bookshelf contains 10 fiction books, two reference books, and five nonfiction books.

So, the probability of getting reference book

= 2/ 17

and, the probability of getting nonfiction book

= 5/ 17

Now, the probability of reference book and then, without replacing it, picks up a nonfiction book

= 2/ 17 x 5 / 16

= 10 / 272

= 5 /136

Learn more about Probability here:

https://brainly.com/question/30034780

#SPJ7

Please can you help! I will mark brainiest!

Answers

Answer:

108

Step-by-step explanation:

So the area of the rectangle is easy.

12 * 5 = 60

Now you have to do the triangles.

The height is (13 - 5) / 2 = 4

The bases are 12

The area of one is (12 * 4) / 2

The area of both is 12 * 4 = 48

60 + 48 = 108

Count the possible combinations of r letters chosen from the given list P.Q,R,S,T,U; r = 2

Answers

Answer:

There are 30 possible combinations of picking two letters.

Step-by-step explanation:

The combinations are defined as

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

Where [tex]n[/tex] is the total number of elements and [tex]r[/tex] is the number of letter we are gonna picke, which is two. Using this information, we have

[tex]C^{2}_{6}=\frac{6!}{(6-2)!}=\frac{6!}{4!}=\frac{6 \times 5 \times 4!}{4!}=30[/tex]

Therefore, there are 30 possible combinations of picking two letters.

What is the vertex of the parabola with the equation y=15x2+2x−8?

Answers

Answer:

Step-by-step explanation:

[tex]y=15x^2+2x-8\\\mathrm{Parabola\:equation\:in\:polynomial\:form}\\\mathrm{The\:vertex\:of\:an\:up-down\:facing\:parabola\:of\:the\:form}\:y=ax^2+bx+c\:\mathrm{is}\:x_v=-\frac{b}{2a}\\\mathrm{The\:parabola\:params\:are:}\\a=15,\:b=2,\:c=-8\\x_v=-\frac{b}{2a}\\x_v=-\frac{2}{2\cdot \:15}\\\mathrm{Simplify\:}-\frac{2}{2\cdot \:15}:\quad -\frac{1}{15}\\x_v=-\frac{1}{15}\\\mathrm{Plug\:in}\:\:x_v=-\frac{1}{15}\:\mathrm{to\:find\:the}\:y_v\:\mathrm{value}\\y_v=-\frac{121}{15}\\[/tex]

[tex]\mathrm{Therefore\:the\:parabola\:vertex\:is}\\\left(-\frac{1}{15},\:-\frac{121}{15}\right)\\\mathrm{If}\:a<0,\:\mathrm{then\:the\:vertex\:is\:a\:maximum\:value}\\\mathrm{If}\:a>0,\:\mathrm{then\:the\:vertex\:is\:a\:minimum\:value}\\a=15\\\mathrm{Minimum}\space\left(-\frac{1}{15},\:-\frac{121}{15}\right)[/tex]

A dolphin is swimming at a constant speed. It travels 30 meters every 5 seconds. What is the slope of the line that shows the relationship between x, time in seconds, and y, the distance in meters traveled by the dolphin

Answers

Answer:

6 meters per 1 second or 6m/s

Step-by-step explanation:

slope is rise/run or change in y/change in x

in this case y=30, x=5 so slope = 30/5= 6

2x+5y=20 in slope intercept form

Answers

Answer: y=2/5x - 4

Step-by-step explanation:

What force is necessary to accelerate a 1,350 kg car at a rate of 38 m/s??
35.53 N
5,130 N
1.388 N
51.300 N​

Answers

Answer:

Force, F = 51300 N

Step-by-step explanation:

We have,

Mass of a car is 1350 kg

Acceleration of the car is 38 m/s².

It is required to find the force required to accelerate the car. The force acting on the object is given by the formula as follows:

[tex]F=ma\\\\F=1350\ kg\times 38\ m/s^2\\\\F=51300\ N[/tex]

So, the force of 51300 N is required to accelerate the car.

What is the value of x in the equation 8x – 2y = 48, when y = 4?
6
7
14
48

Answers

Answer:

x=7

Step-by-step explanation:

8x – 2y = 48

Let y = 4

8x - 2(4) = 48

8x - 8 = 48

Add 8 to each side

8x-8+8 = 48+8

8x = 56

Divide each side by 8

8x/8 = 56/8

x=7

Answer:

[tex]x = 7[/tex]

Step-by-step explanation:

[tex]8x - 2y = 48 \\ 8x = 48 + 2y \\ x = \frac{48 + 2y}{8} [/tex]

[tex]y = 4[/tex]

[tex]x = \frac{48 + 2y}{8} \\ x = \frac{48 + 2 \times 4}{8} \\ x = \frac{48 + 8}{8} \\ x = \frac{56}{8} \\ x = 7[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

GEOMETRY HELP WILL MARK BRAINLIEST

Answers

Answer:

6² + x² = 10²

36 + x² = 100

36 - 36 + x² = 100 - 36

x² = 64

√x² = √64

x = 8

Step-by-step explanation:

Answer:

[tex]x = 8[/tex]

Step-by-step explanation:

According to PYTHAGORAS theorem

[tex] {6}^{2} + {x}^{2} = {10}^{2} \\ 36 + {x}^{2} = 100 \\ {x}^{2} = 100 - 36 \\ {x}^{2} = 64 \\ x = \sqrt{64} \\ x = 8[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day

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