How many ways can 14 students line up in 8 positions if the third,
fourth, and fifth positions must be student x, y or z?

Answers

Answer 1

Answer:

Step-by-step explanation:

Answer 2

Using the permutation formula, it is found that there are 55,440 ways for the students to line up.

The order in which the students line up is important, hence the permutation formula is used to solve this question.

What is the permutation formula?

The number of possible permutations of x elements from a set of n elements is given by:

[tex]P_{(n,x)} = \frac{n!}{(n-x)!}[/tex]

In this problem, 3 positions are set, and the remaining 11 students will be selected for 5 positions, hence:

[tex]P_{(11,5)} = \frac{11!}{6!} = 55440[/tex]

More can be learned about the permutation formula at https://brainly.com/question/25925367

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Related Questions

at what rate per annum a sum of Rs 25000 amount to Rs 26250 in 6 months.​

Answers

Answer:

Rate = 10%

Step-by-step explanation:

Given:

Amount deposit = 25,000

Amount get = 26,250

Time = 6 month = 6 / 12 = 0.5 year

Find:

Rate

Computation:

Interest = Amount get - Amount deposit

Interest = 26,250 - 25,000

Interest = 1,250

Interest = P x R% x T

1,250 = 25,000 x R% x 0.5

Rate = 10%

ILL GIVE BRAINLIEST PLS HELP

Answers

Answer:

A

Step-by-step explanation:

a translation 16 units to the left will replace x with x+16, and a translation 6 units down will replace g(x) with g(x)-6, so it's A.

plz help me due today

Answers

Answer:

2976 in³

Step-by-step explanation:

Stool volume = upper smaller prism + Lower bigger prism

Stool volume = 8 x 6 x 12 + 20 x 12 x 10 = 576 + 2400 = 2976

check: volume = 20 x 12 x 16 - 12 x 12 x 6 = 2976

Please help and fill out please

Look at picture

Find the circumference of a circle and round your answer to the ness test tenth

Answers

Answer:

9) 56.5

10) 43.98, so rounds to 44.0

11) 71.6

12) 23.9

13) 69.1

14) 50.3

Step-by-step explanation:

Circumference is 2[tex]\pi[/tex]r.

9) 56.5

10) 43.98, so rounds to 44.0

11) 71.6

12) 23.9

13) 69.1

14) 50.3

Please help my daughter has been stuck on this for the pass hour now

Answers

Answer:

algebraic expression: 3x + 2b

coefficients: 3 and 2

variables: w and b

# of terms: 2

constant: 0

algebraic expression: 6xy - 2c + 4

coefficients: 6 and -2

variables: x, y, and c

# of terms: 3

constant: 4

algebraic expression: 2/3 y - 3p

coefficients: 2/3 and -3

variables: y and p

# of terms: 2

constant: 0

Answer:

Problem 1:

Coefficients are : 3 & 2

Variables are: w & b

Number of terms: 2

Constant: none

Problem 2:

Coefficients are : 6 & -2

Variables are: xy & c

Number of terms: 3

Constant: 4

Problem 3:

Coefficients are : [tex]\frac{2}{3}[/tex] & -3

Variables are: y & p

Number of terms: 2

Constant: none

Step-by-step explanation:

Okay, lets break this down.

An Algebraic expression is not meant to be solved, but rather used to determine the various components inside of it to better understand how to solve equations later on. Although for now lets look at these problems. :

A Coefficient in terms of algebra, is the number before a variable. In other terms, a coeffiecient is the number before the letter such as 3w. Looking at 3w we see that there are two parts: 3, and w.

The number 3 is the coefficient while the variable is the letter w. Variables are always the letters.

Variable: A letter used to determine an unknown value such as x

Now a term is a single mathematical expression. It may be a single number (positive or negative), or a single variable ( a letter). (Can also be a coeffient with a variable multiplied or divided by one another as such :

[tex]3w = 3*w\\\frac{3}{w} = 3 / w[/tex]

 Some terms contain variables with a number in front of them. The number in front of a term is called a coefficient.

Now with that said, a constant is a number on its own, or sometimes a letter such as a, b or c to stand for a fixed number. Example: in "x + 5 = 9", 5 and 9 are constants.

With all of that said, lets look at the problems given:

Problem 1:

Coefficients are : 3 & 2

Variables are: w & b

Number of terms: 2

Constant: none

Problem 2:

Coefficients are : 6 & -2

Variables are: xy & c

Number of terms: 3

Constant: 4

Problem 3:

Coefficients are : [tex]\frac{2}{3}[/tex] & -3

Variables are: y & p

Number of terms: 2

Constant: none

I would be happy to help you again in the future, and hope that this provide you with some clarification. Have a nice day!

The point A(-3,7) is reflected over the origin and its image is point B. What are
the coordinates of point B?

Answers

Answer:

B(3,-7)

Step-by-step explanation:

Basically, you just have to transform the signs to it's opposite and just keep the points.

What is the answer to this please help

Answers

Answer:

[tex]2\sqrt{42} + 7\sqrt{2} -6- \sqrt{21}[/tex]

Step-by-step explanation:

[tex](\sqrt{14} - \sqrt{3})(\sqrt{12} + \sqrt{7})[/tex]

root 12 can be changed to 2 root 3

then multiply

then simply

and you should get ur answer

Graph the line with the given slope that passes through the given point.
(a) slope: 2 point: (1, 3)

Answers

Answer:

y= 2x + 3/2

Step-by-step explanation:

First, place a point on (1,3).

Since slope is rise/run, move your pencil up 2 units and to the right one. Place a point there. Repeat until you reach your desired length.

Lauren works 9.5 hour shifts each weekend, and takes off three weeks during the year. Lauren
does not work on the weekdays. How many hours will Lauren work each year?
hours

Answers

Answer:

494

Step-by-step explanation:

365 minus 21 days for the 3 weeks off. Approximately 52 weekends, 52 multiplied by 9.5 equals 494 hours.

(x - 1)(x4 + x3 + x2 + x + 1)

Answers

it would be x^5-1 fjjbdbxjwjxjs
(x-1) (x⁴+x³ +x² + x + 1)

= x⁵ + x⁴ + x³ + x² + x - x⁴-x³ -x² - x - 1

= x⁵-1

pLEASE HELP, GIVING BRAINLIEST!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

If the arrow is spun 400 times how many times would it be expected to ... 3 green. 20 total 10. Adrian spins the arrow on this spinner once. Which number is the arrow... Part B. Use a paperclip and the tip of your pencil to spin

Answer:

I know this was two weeks ago, but here is my answer: 1/9

Step-by-step explanation:

Baron here is going to spin this twice, and he wants to get a 3 on both, no?

Well, there are 3 sides; 1, 2 and 3, meaning that it will look something like this: ??/3.

He only wants to have one of the options, so that ??/3 will turn into a 1/3.

That would be for one spin, but he's going to do two.

SO, it would be a 1/3 chance of getting it on the first try, and a 1/3 chance on getting it on the second, multiply them together for the complete probability, and BAM you get 1/9.

There is an easier way, but it would take too long to write.

Hope you this helps you understand if you are still confused.

:)

(also not sure it this was correct, it has been a long time since I have done this)

I’m getting brainlest

Answers

Answer:

Female

Step-by-step explanation:

...look at those numbers dude

The ratio of boys to girls in the Grade 3 classes at Domino Primary school
is 3:4. If there are 12 boys in one class, how many learners are in the class? (2)​

Answers

Answer:

28 learners

Step-by-step explanation:

Boys : Girls

3 : 4

Since there are 12 boys and 3 units of them...

3 units = 12

1 unit = 12 ÷ 3 = 4

Girls =

4 units = 4 x 4 = 16

Total number of girls and boys: 12 + 16 = 28

A wire runs from the top of a 24 foot telephone
pole to a point on the ground 34 feet from the
base of the pole. What is the measure of the angle
of elevation from the point on the ground to the
top of the flagpole ? Round to the nearest degree.

Answers

Answer:35 degrees.

Step-by-step explanation:

The height of the pole is the opposite

Please please help me ASAP

Answers

Answer:

There are 12 sections on the spinner, and out of the 12 sections, 5 of them are red.

If he spins the spinner 48 times, he should expect 5x4, or 20 of the spins to land on red.

Let me know if this helps!

It’s 20 I think if it’s wrong I’m sorry

Some potatoes are split equally between 5 bags. If there
are 22 pounds of potatoes, how many pounds are in each
bag?

Answers

Answer:

4.4 pounds in each bag

Step-by-step explanation:

divide 22 by 5 and that is how many pounds are in each bag

The eccentricity of the conic
section shown is?

Answers

Answer: The eccentricity of the conic section shown in the given picture = 0

Step-by-step explanation:

The eccentricity of a conic is measure to determine how un-circle a conic section.

In the given picture, we have a circle.

A circle has an eccentricity of zero.

Therefore, the eccentricity of the conic section shown in the given picture = 0

(4m+3)9+6m +10n
Simplifeid

Answers

Answer:

42m+10n+27

Step-by-step explanation:

Adding like terms

Answer: look at the picture

Step-by-step explanation: Hope this help :D

3x + 6 = -9 What is X?

Answers

Answer:

x=-5

Step-by-step explanation:

3x+6=-9

   -6    -6

3x=-15

x=-5

Answer:

=  − 5

Step-by-step explanation:

The steps are in the (2) pictures below. Hope this helps!

Please help what is the area

Answers

Given:

The figure of a trapezoid.

Length of mid-segment = 5.5

Height of the trapezoid = [tex]6\sqrt{3}[/tex]

To find:

The area of the trapezoid.

Solution:

The area of a trapezoid is:

[tex]A=M\times h[/tex]       ...(i)

[tex]A=\dfrac{a+b}{2}\times h[/tex]

Where, a,b are bases and h is the vertical height.

We know that [tex]M=\dfrac{a+b}{2}[/tex] is the length of the mid-segment.

Putting M=5.5 and [tex]h=6\sqrt{3}[/tex] in (i), we get

[tex]A=5.5\times 6\sqrt{3}[/tex]

[tex]A=33\sqrt{3}[/tex]

Therefore, the area of the trapezoid is [tex]33\sqrt{3}[/tex] units squared.

pls HELP ASAP PLS HELP

Answers

distributive property, the 2nd one on the bottom
commutative property, the one top
combining like terms, the 1st one on the bottom

Ryan has 8 kittens. Two are white. What fraction of the kittens are not white? Write in simplest form

Answers

Answer:

3/4

Step-by-step explanation:

If 2 out of 8 of the kittens are white, than 6 aren't white. That fraction would be 6/8 but when you simplify you get 3/4.

The answer is 3/4 of the kittens are not white.

This a simplifed version of 6/8 which is the complement of 2/8, the amount of white kittens.

Hope this helps, if not, comment below please!!!

:L

17x > -17 what is the answer?????

Answers

Answer:

x>-1

Step-by-step explanation:

Answer:  x would = -1

Step-by-step explanation:

Hope this helps u! Have a good day! :)

PLS IM SO STRESSED I NEED THIS ASAP ILL GIVE BRAINLIEST
23. Jessica deposited $3,500 into a retirement account. Jessica earned 3.5% annual simple interest
on the money in the account. She made no additional deposits or withdrawals.
What is the amount of interest earned on her retirement account in dollars and cents at the end
of 7 years?
Record your answer in the boxes to the right. Be sure to use the correct place value.

Answers

Answer:

857.50

Step-by-step explanation:

$3,500 x .035= 122.5x7= 857.50

what divided by 7 will equal 1 and 1/3

WILL MARK BRAINLIEST

Answers

Answer:

[tex] 9 \frac{1}{3} [/tex]

Step-by-step explanation:

Let when x divided by 7 will produce [tex] 1\frac{1}{3} [/tex]

[tex]x \div 7 = 1 \frac{1}{3} \\ \\ x \times \frac{1}{7} = \frac{4}{3} \\ \\ x = \frac{7 \times 4}{3} \\ \\ x = \frac{28}{3} \\ \\ x = 9 \frac{1}{3} [/tex]

I need help with number 5 and number 10 please

Answers

Number 5 is C 28 sq. cm the number 10 is C

NEEP HELP NOW

Working with vertical and adjacent angles I don’t need the awnsers I need someone to explain how to write it down and Awnser. PLZZ

Answers

,.Answer:

Step-by-step explanation:

Which graph represents
f(x) = log2 x – 1

Answers

Made the graph for you since you did not attach any pictures!

The graph of function f(x) = log2 x – 1 is shown in figure.

What is Function?

A relation between a set of inputs having one output each is called a function.

Given that;

The function is,

⇒ f (x) = log 2x - 1

Now,

Since, The function is,

⇒ f (x) = log 2x - 1

Hence, We get;

The graph of function as shown in image.

Learn more about the function visit:

https://brainly.com/question/13804741

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What figure has one endpoint and continues without end on one direction?

Group of answer choices

A. line

B. line segment

C. ray

D. point

Answers

Answer:

Step-by-step explanation:

b line segment

B. line Statement is the awnser

Can someone help me please?


Answer choices

A -10
B-8
C -2
D -1

Answers

Whats the question point M would be in (-1,-8)
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