Alex has 14 bulbs to make a string of holiday lights. How many distinct arrangements can he make if
he has 3 red bulbs, 4 green bulbs, 2 blue bulbs, and 5 yellow bulbs?

Answers

Answer 1

We have "9 sockets choose 3" for the 3 red lights. That's (9C3) ways.

After screwing in those 3 red bulbs, there remain only 6 open sockets.

We have "6 sockets choose 4" for the 4 yellow lights. That's (6C4) ways.

After screwing in those 4 red bulbs, there remain only 2 open sockets.

We have "2 sockets choose 2" for the blue lights. That's (2C2) = 1 way.

After screwing in those 2 bulbs, all the sockets have a bulb in them.

Answer (9C3)(6C4)(2C2) = 1260.


Related Questions

Question 11 (5 points)
22
Find the volume of the solid. Use
7
for II.
5 cm
1 cm
6 cm

Answers

Answer:

Volume of solid = 5 cm *  1 cm  * 6 cm = 30 cm³

Step-by-step explanation:

The formula for volume of solid = Length * Width * Height


The original quantity is 10 and the new quantity
is 13. What is the percent change? Is it an
increase or decree?









Answers

Answer:

30 %

Step-by-step explanation:

Assumption: the increase is to be expressed as a percentage of 10.

We change from 10 to 13 so the increase is 3 We now need to change this into a percentage.

In fraction form we have increase Original value → 3 10 But we need to change this into the form some number 100 Let the unknown value be x giving: 3 10 ≡ some number 100 = x 100 To change the 10 from 3 10 into 100 we multiply by 10 Multiply by 1 and you do not change the value.

However, 1 comes in many forms.

3 10 × 1 = 3 10 × 10 10 = 30 100 This is the same as 30 × 1 100 but 1 100 is the same as %.

So 30 100 → 30 %

74%, 3/4, 0.76 on a number line

Answers

Answer:

Step-by-step explanation:

you just graph it

Due Tomorrow: answer question 4 with steps

Answers

Answer:

Step-by-step explanation:

Question 4

we have two sides and an angle so we should use law of cosines to solve for c

[tex]7=\sqrt{5^2+c^2-2*5*c*cos(35)}\\\\49=25+c^2-10*c*cos(35)\\25=c^2-8.19152044289c\\c^2-8.19152044289-25=0\\[/tex]

(using the quadratic formula)

c=10.48131

To solve for b use the law of cosines again

[tex]5=\sqrt{7^2+10.48131^2-2*7*10.48131*cos(B)\\[/tex]

B=24.1858343432

if AB=12 cm and BC =13 cm then AC = 25 cm

Answers

Answer:

AB=12

Hope this helps!

.Evaluate the radical expression 256−−−√4. Enter your answer as a whole number, like this: 42

Answers

Answer:

254

Step-by-step explanation:

First get the square root of 4 and that is 2. Then minus it in 256 and you will get 254.

Hope it can help you lovelots

The solution to the radical expression 256-√4 will be 254.

What is a radical expression?

An expression with the radical (√) symbol is referred to as a radical expression in mathematics. Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

The given radical expression will be solved as below:-

256-√4 = 256 - 2

             = 254

Therefore, the solution to the radical expression 256-√4 will be 254.

To know more about radical expression follow

https://brainly.com/question/1601861

#SPJ5

Question: • What is the slope?
• What is the y-intercept?​

Answers

The slope is 3 and the y intercept is -2, if you need more answers related to the y =mx+b just ask and I’ll get you the answer
The slope is 3. The y-intercept is the total cost which would be -2

what is the best estimate of 97/7 and 1 3/4

Answers

Answer:

next question nexy question

Nate biked 54 miles in 4 1/2 hours. What was Nate’s average speed in miles per hour.

Answers

Answer:

12mph

Step-by-step explanation:

You must divide the 54 miles by the 4 1/2 hours which will give you 12mph

Only answer this if you know the answer.

Find The nth Term of this number sequence
18, 16, 14, 12

Answers

Answer:

2

Step-by-step explanation:

18,16,14,12,10,8,6,4,2

Pls mark me Brainly
Annswer:
2

Five tickets numbered 1, 2, 3, 4, and 5 are placed in a box, and three are selected at random. Determine the probability of obtaining a 1 or a 2 or both.

Answers

Answer:

the probability is 1 and 2

1. Suppose that in the population of American college students the average number of alcoholic drinks consumed per week is 22. What is the probability of randomly selecting a sample (n = 30) with a mean of 24 and a standard deviation of 5? (Hint: Tell me the two probabilities it will be between using a 2-tailed value)

Answers

ANSWER

im not sure on the full awnser.

name the parts mentioned in the figure below

please answer this


Answers

Answer:

O - point

CD- chord

AB- diametre

I dont know PO sorry

Answer:

O is the center.

AB is the diameter.

OP is a radius.

CD is a tangent.

By the way the combination of letters is the two points that it relates too.

Step-by-step explanation:

hope this helps. . .<3

Use an equation to find the value of k so that the line that passes through the given points has the given slope.

(−4,k), (6,−7); m=−15

Answers

Answer:

Step-by-step explanation:

(-7 - k)/(6 + 4) = -15

(-7 - k)/10 = -15

-7 -k = -150

-k = -143

k = 143

right answers only plz and thank you

Answers

Answer:

letter A

Step-by-step explanation:

3x=0

x=0

x-2=0

x=2

2x+7=0

2x=-7

x=-7/2

Pls due now I will give brainliest if right

Answers

Answer:

(-2,1)

Step-by-step explanation:

i graphed it ..its right

Answer: Choice A

Explanation:

The graph is shown below.

The line y = 2x+5 goes through (0,5) and (1,7).

The line y = (1/2)x+2 goes through (0,2) and (2,3)

The two lines intersect at exactly (-2, 1) which is the solution to the system.

Jon wants to earn at least $75,000 a year and live in a posh urban setting. James’s career plan includes earnings of $35,000 a year and simple, cheap living conditions. Whose lifestyle expectations are better?

Both are equally valid, they just have different preferences.

James’s, because he has more realistic expectations.

Jon’s, because he will have a higher quality of life

It depends on their career goals and family plans.

Answers

Answer:

Jon’s, because he will have a higher quality of life

Step-by-step explanation:

James wants to live in a cheap living condition so his quility is going to be worse. John wants to live in a posh urban setting and posh urban is higher quility than cheap living condition. So the anwser is C.

Answer:

Step-by-step explanation:

James

Uhm is this a function?

Answers

Yea because every input has only one output

Answer:

yes it is

Step-by-step explanation:

Time went scuba diving and descended at a rate of 35 feet every 20 min. If Tim was diving from 11:00AM to 12:00PM. What was Tim's altitude at 11:40AM?

Answers

Answer:

70 feet

Step-by-step explanation:

35 x 2 = 70

Name the property of addition illustrated.

[3+(-8)] + 9 = 3+(- 8+9)

Answers

Answer:

Associative property

Step-by-step explanation:

The associative property states that, in addition, pairs of parentheses can be moved without changing the value of the expression. This means that (a+b)+c=a+(b+c). That same rule can be seen in the equation above because the parentheses move from the first 2 terms to the 3rd and 4th terms. Either way, both sides of the equation remain equal.

Flip a coin three times. You will win $2 for each heads. What is the expected winning (expectation of your winning)

Answers

The three coins could land any these 8 ways:

HHH, HHT, HTH, HTT, THH, THT, TTH, TTT

P(3 heads) = 1 way out of 8  or 1/8

P(2 heads) = 3 ways out of 8 or 3/8

P(1 head) = 3 ways out of 8 or 3/8

P(0 heads) = 1 way out of 8 or 1/8

x=Winnings  P(x)  E(x)=x�P(x)

    $3      1/8      $.375

    $2      3/8      $.75

    $1      3/8      $.375

  -$10      1/8     -$1.25

---------------------------

Total expectation =   $ .25

find the length of fencing required to go all the way around the rectangular field that is 136000mm wide and 425m long

Answers

the answer is 57800m^2

the area of a square is 36 centimeters. how long is each side of the square?

Answers

Answer:

6cm

Step-by-step explanation:

square root of 36 because the area of a square is base x height and a square has equal sides

Write an equation of a line with an x-coefficient of - 3 and a y-intercept of 7

Answers

Answer:

y = -3x + 7

Step-by-step explanation:

For an equation in the format y = ax + b, a is the coefficient of x, and b is the y intercept.

John drives from home to his
parents house and then to a
cafe. His parents house is 13
miles south of his home and
the cafe is 6 miles east of his
parents house. What is the
distance, in miles, between his
home and the cafe SHOW YOUR WORK

Answers

Answer:

13=6 and no

Step-by-step explanation:

Answer:

The distance is 19 miles

Step-by-step explanation:

I know that because you have to add how many he drove to his parents and the amount of miles driven to the cafe and then it will give the total amount driven.

Given the system of equations presented here:

4x + y = 4
2x + 6y = 24

Which action creates an equivalent system that will eliminate one variable when they are combined?

Multiply the first equation by −4 to get −16x − 4y = −16.
Multiply the second equation by −4 to get −8x − 24y = −96.
Multiply the first equation by −2 to get −8x − 2y = −8.
Multiply the second equation by −2 to get −4x − 12y = −48.

Answers

Answer:

yep its D

Step-by-step explanation:

Answer:

D     Multiply the second equation by −2 to get −4x − 12y = −48.

Step-by-step explanation:

Answer:

Multiply the second equation by −2 to get −4x − 12y = −48.

Step-by-step explanation:

Given:

4x + y = 4 (1)

2x + 6y = 24 (2)

Multiply the second equation by −2 to get −4x − 12y = −48.

4x + y = 4 (1)

−4x − 12y = −48 (3)

Variable x can be eliminated by adding the equations

4x + (-4x) + y + (-12y) = 4 + (-48)

4x - 4x + y - 12y = 4 - 48

0 - 11y = -44

-11y = -44

Divide both sides by -11

y = -44/-11

= 4

y = 4

11 more than a number is equal to 48

Answers

11+x=48

x=48-11

x= 37

[tex] &#128536; \: &#128521; \: &#128520; \; &#128555; \: &#128548; \: &#128545; \: &#128536;[/tex]

What is the principal amount if the interest rate is 3.5% a year and the amount of interest is 183.75 for 21 months?

Answers

The principal amount if the interest rate is 3.5% a year is equal to $3000.

Given the following data:

Interest rate = 3.5%Simple interest = $183.75Time = 21 months

Conversion:

12 months = 1 year

21 months = 1.75 year

To calculate the principal amount if the interest rate is 3.5% a year:

Mathematically, simple interest is given by the formula:

[tex]S.I = \frac{PRT}{100}[/tex]

Where:

S.I is the simple interest.P is the principal amount.R is the interest rate.T is the time measured in years.

Making P the subject of formula, we have:

[tex]P = \frac{100S.I}{RT}[/tex]

Substituting the given parameters into the formula, we have;

[tex]P = \frac{100 \times 183.75}{3.5 \times 1.75}\\\\P = \frac{18375}{6.125}[/tex]

Principal amount, P = $3000

Read more: https://brainly.com/question/22621039


STRUCTURE Tell whether the triangles are similar.

Answers

Answer:

If two triangles have two pairs of sides in the same ratio and the included angles are also equal, then the triangles are similar.

Have a nice day and I hope this helps!

let p be the number of primes less than 100, and let Q be the number of primes less than 90. What is the value of P-Q?

Answers

The value of P - Q as described in the question above is; P -Q = 2.

According to the question;

P = number of primes less than 100Q = number of primes less than 90

Since, we are required to determine what the value of P-Q is;

The value of P-Q is simply the number of primes between 90 and 100.

The prime numbers between 90 and 100 are; 91 and 97.

Therefore, P - Q = 2.

Read more;

https://brainly.com/question/22257959

Other Questions
Given triangle MTW is congruent to triangle BGK,find y. Please, If you can help i will be grateful and give brainliest. please help! with work please Zeroes of polynomials. will give brainliest! BRAINLIEST Can you help me finish these Underline the adverb clause 1. Although Oahu is well known, the island named Hawaii is bigger 2. Kahoolawe is smaller than the other main islands are 3. Vacationers have many memories after they leave the islands 4. King Kamehameha III and his chiefs earned the peoples respect because they provided a constitution, a legislature, and a public school system 5. Because many of the islands offered poor farming opportunities, islanders moved often. 6. If deep-sea volcanoes keep growing, they eventually break through the surface 7. Whole volcanic island chains eventually develop because the Pacific Ocean plate keeps shifting over hot spots deep in the earths mantle 8. Although the pacific has many volcanic islands, coral formed most of them QUICK PLEASE !!!!Choose the word that is NOT an answer to the question, quaenam est tempests hodi?O Salve.O Ningit.O Pluit.O Calet. the difference between behavior change approach and self empowerment approach to health education. what percent of american homes eat turkey on thanksgiving Choose the kind of listening required for the following activity: assignment being given by teacher. explain how as kent loses his status in the kingdom he starts to gain knowledge and becomes more of a true man. lower in status, higher in morality. A race car is traveling at a speed of 80. 0 m/s on a circular racetrack of radius 450 m. What is it's centripetal acceleration in m/s2?. can anyone explain for me number 2 and 3 summarizes McKinleys argument for declaring war against Spain in 1898? Decide if the following definite article and noun agreement is CORRECT or INCORRECT.el calendario What does meta mean? largethinkingawarenessseeing how do I solve this linear inequality?5x - 7 > 4x + 8 Why did the Kingdom of Kush move its capital from Napata to Mero? Which postulate or theorem proves that these two triangles arecongruent?O HL Congruence TheoremASA Congruence PostulateO SAS Congruence Postulate AAS Congruence Theorem Explain how the forms of demand supply will eliminate a market surplus In Dominics classroom, there are 5 rows of desks. There are 5 desks in each row. In all, 5 classrooms in his school have the desks set up the same way. Write an expression with an exponent that shows the total number of desks in these 5 classrooms.Use words, numbers, and/or pictures to show your work. Write your answer on the paper provided.