2.2.12 In the design of an electromechanical product, 12 com- ponents are to be stacked into a cylindrical casing in a manner that minimizes the impact of shocks. One end of the casing is designated as the bottom and the other end is the top. a. If all components are different, how many different designs are possible

Answers

Answer 1

Answer:

479,001,600 different designs are possible

Step-by-step explanation:

To solve this question, we want to know in how many ways 12 elements can be arranged.

Number of possible arrangements of x elements:

The number of possible arrangments of x elements is given by:

[tex]A_{x} = x![/tex]

In this question:

12 elements. So

[tex]A_{12} = 12! = 479001600[/tex]

479,001,600 different designs are possible


Related Questions

how do I round off 6.2 into a number ​

Answers

Ok so if you are rounding it to the nearest tenths place the answer would be 6

hope that's right!!

Answer:

well if you want to get to a whole number it would be 6

Step-by-step explanation:

you get that by well let's say it was 5.5 the second number is over half so it would round up to a whole of 6 but if it was 5.4 it would round down to 5.

I can explain better if needed

Which of the following is a rational number?


square root of 79, square root of 80, square root of 81, square root of 82

Answers

Answer:

Square Root of 81

Step-by-step explanation:

9 times 9 = 81

3x+144=532* replace the star (*) so the answer to the problem would be a whole number. find all possible digits.

Answers

Answer:

x = 129, rounded

Step-by-step explanation:

3x + 144 = 532

      -144   -144

3x = 388

divide both sides by 3

x = 129, rounded

Please answer! will mark brainilest eight tenths plus nine tenths equals

Answers

Answer:

it equals 17 tenths

Step-by-step explanation:

Answer:

the answer will be 0.7 for sure

Step-by-step explanation:

for the steps

the question is given as eight tenths i.e 0.8 and another is given nine tenth i.e 0.9

so when you calculate (add) both

0.8+0.9

gives

0.7


AABC is reflected across the y-axis and translated 3 units up to create AXYZ. Select all statements that are true about AABC and AXY

Answers

could you post a picture so we can see the shape and the points they land on?

Students at Hampton Middle School sold T-shirts as a school fundraiser. Sylvie asked 12 random seventh-grade students how many T-shirts they sold for the fundraiser. The number of T-shirts each student sold is listed below.

3, 4, 8, 5, 2, 5, 0, 5, 3, 4, 3, 7

What is the mean of the data set rounded to the nearest tenth?
4.0 shirts
4.1 shirts
4.5 shirts
4.9 shirts

Answers

Answer:

4.1 shirts

Step-by-step explanation:

Mean can be found by adding all data points and dividing that by the total amount of data points.

There are 12 students selling shirt, which gives you 12 data points.

So (3+4+8+5+2+5+0+5+3+4+3+7)/12 = 4.083...

Which rounds to 4.1 shirts

Answer:

The correct answer is C: 4.1 shirts

Step-by-step explanation:

Did it on edge and got it correct

Hope This Helps!

Have a good day!

Nhich describes the slope of a horizontal line?
a. positive
b. negative
d. undefined
C. Zero

Answers

Step-by-step explanation:

c.

The slope of a line is change in Y / change in X. The slope of a horizontal line = 0, not undefined. The slope of a vertical line = undefined.

f(x) = –22 – 7x – 5
Find f(-5)

Answers

Answer:

f=7/5x+27/5

Step-by-step explanation:

you just have to divide both sides by -5

Answer:

18

Step-by-step explanation:

-22-7(-5)-5

-22+45-5

-22+40

18

What number comes next? 6, 9, 12, 15​

Answers

Answer:

18

Step-by-step explanation:

Answer: 18, 21, 24, 27, 30

Step-by-step explanation:

Round both to the nearest whole number just write:

5: answer here
6: answer here

Answers

Answer:

Follows are the solution to this question:

Step-by-step explanation:

formula for perimeter of semicircle:

[tex]C= \pi \times d[/tex]

Area of Semicircle:

[tex]A= \frac{\pi r^2}{2}[/tex]

For question 5:

[tex]\to d=17 \ m[/tex]

[tex]\to C= \pi \times d= 3.14 \times 17= 53.38 =53 \\\\[/tex]

[tex]\to A= \frac{\pi \times r^2}{2}= \frac{3.14 \times 8.5^2}{2}=\frac{226.865}{2}=113.4325= 113[/tex]

For question 6:

[tex]\to d=10.5 \ in[/tex]

[tex]\to C= \pi \times d= 3.14 \times 10.5= 32.97 =33[/tex]

[tex]\to A= \frac{\pi \times r^2}{2}= \frac{3.14 \times 5.25^2}{2}=\frac{86.54625}{2}=43.273125= 43[/tex]

Pls help me
I will give you brainliest
Pls

Answers

Answer:

3

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

1) if y is proportional to x , find an equation that connects them given that y = 24 when x = 4

Answers

Answer:

175 I think

Step-by-step explanation:

I don't know really sorry

A 2-yard roll of plastic wrap costs $3.36. What is the price per foot?

Answers

Answer:

$0.56 per foot

Step-by-step explanation:

2 yards= 6 feet

3.36/6= 0.56

Answer:

$0.56 per foot

Step-by-step explanation:

1 yd = 3 ft

2 yd = 6 ft

3.36/6 = 0.56

Sully has completed 3/10 of a book. He has read 45 pages so far. How many pages are in the whole book?

Answers

there are 150 pages in the whole book

Answer:

150 pages

Step-by-step explanation:

3/10 is equal to 0.3, or 30% of the book. We can set up an equation to find the total number of pages in the book, with x representing the number of pages.

0.3x=45

0.3x/0.3=45/0.3

x=150

Jasmine wants to earn $2,000 in simple interest through a
bank account earning 5% annually. How much principal
would she need to invest in the account to meet her interest
goal in 4 years?

Answers

Answer:

$10000

Step-by-step explanation:

First, converting R percent to r a decimal

r = R/100 = 5%/100 = 0.05 per year,

then, solving our equation

P = 2000 / ( 0.05 × 4 ) = 10000

P = $ 10,000.00

The principal required to

accumulate interest of $ 2,000.00

on a rate of 5% per year for 4 years is $ 10,000.00.

45 is what % of 50. i need to know now

Answers

Answer:

90%

Step-by-step explanation:

Answer:

90%.

Step-by-step explanation:

50 is half of 100. 45 is half of 90.

So, 45 is 90% of 50.

PLS help for 55 points

Answers

5/6=10/BC
BC=12

BC/x=5/6
12/x=5/6
x=14.4

Answer:

≈ 6.2

Step-by-step explanation:

Common side of the triangles is:

√10²-5² = √75

Find x:

x = √75 - 6² = √75 - 36 = √39 ≈ 6.2

Can you help me on question six?!

Answers

Answer: A (1:2)

Step-by-step explanation:

Since there are 12 puppies total and 8 of the puppies are yellow labs, there must be 12 - 8 = 4 black labs. Now, the ratio of black labs to yellow labs is 4:8 because there are 4 black labs and 8 yellow labs. However, we can simplify this ratio by dividing the entire ratio by 4. In this case, we would get (4/4):(8/4), which simplifies to 1:2, which is the answer.

Q5
Askateboard is originally priced at $130. The online retailer gives a discount and the Skateboard is now priced at $78. Enter the
percentage discount for the cost of the skateboard

Answers

Answer:

Your answer is 40%

Hope that this is helpful. Tap the crown button, Like & Follow me

Answer:ok

Step-by-step explanation: 2+2 =4 - 1 = 3 quick maths!

if the first step of the solution of the equation 2x - 8 =5x + 3 is subtract 2x," then what should the next step be?​

Answers

the first step it to combine like terms which would be subtract 5x -2x which would be 3x

now you’re left with; -8=5x+3 now you have to subtract 3 from -8

which would be -11=5x and than you divide

hope that helps!! :)

Answer:

2x-8=5x+3

Step-by-step explanation:

The first step: Subtract 2x, -8=3x+3

 Second: Subtract (-3), -11=3x

Sam was arranging stamps in his stamp album that had 12 pages with two sides. If 32 stamps could be placed on one side of each page , how many stamps in all can be arranged in his album?

Answers

Answer:

Step-by-step explanation:

Total pages = 12

Stamps placed on one side = 32x 12 = 384 stamps

Stamps placed on the second page = 32 x 12 = 384

Total stamps = 384+384 = 768

If b= 18^3 in the right triangle below, what is the value of c?

Answers

It would be 55 at the most

What volume will be occupied by 170 grams of NH3 gas at STP?

Answers

You answer should be D

−3x^2−4x+7 answer this problem please - algebra - factoring

Answers

Answer:

-(x-1) (3x+7)

Step-by-step explanation:

Answer:

-((x - 1)(3x + 7))

Step-by-step explanation:

Which ordered pair is a solution of the equation y = -6x +7? (1,1) (-1,1) (-6,7) (3,-11)

Answers

Answer:

Step-by-step explanation:

(1,1) works

(3,-11) works too

There are two machines available for cutting corks intended for use in wine bottles. The first produces corks with diameters that are normally distributed with mean 3 cm and standard deviation 0.10 cm. The second machine produces corks with diameters that have a normal distribution with mean 3.04 cm and standard deviation 0.04 cm. Acceptable corks have diameters between 2.9 cm and 3.1 cm
What is the probability that the first machine produces an acceptable cork? (Round your answer to four decimal places.)
What is the probability that the second machine produces an acceptable cork? (Round your answer to four decimal places.)
Which machine is more likely to produce an acceptable cork? the first machine the second machine

Answers

Answer:

0.6826 = 68.26% probability that the first machine produces an acceptable cork.

0.933 = 93.3% probability that the second machine produces an acceptable cork.

The second machine is more likely to produce an acceptable cork.

Step-by-step explanation:

When the distribution is normal, we use the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

What is the probability that the first machine produces an acceptable cork?

The first produces corks with diameters that are normally distributed with mean 3 cm and standard deviation 0.10 cm, which means that [tex]\mu = 3, \sigma = 0.1[/tex]

Acceptable between 2.9 and 3.1, which means that this probability is the pvalue of Z when X = 3.1 subtracted by the pvalue of Z when X = 2.9.

X = 3.1

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{3.1 - 3}{0.1}[/tex]

[tex]Z = 1[/tex]

[tex]Z = 1[/tex] has a pvalue of 0.8413

X = 2.9

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{2.9 - 3}{0.1}[/tex]

[tex]Z = -1[/tex]

[tex]Z = -1[/tex] has a pvalue of 0.1587

0.8413 - 0.1587 = 0.6826

0.6826 = 68.26% probability that the first machine produces an acceptable cork.

What is the probability that the second machine produces an acceptable cork? (Round your answer to four decimal places.)

For the second machine, we have that [tex]\mu = 3.04, \sigma = 0.04[/tex]. Same probability we have to find out. So

X = 3.1

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{3.1 - 3.04}{0.04}[/tex]

[tex]Z = 1.5[/tex]

[tex]Z = 1.5[/tex] has a pvalue of 0.9332

X = 2.9

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{2.9 - 3.04}{0.04}[/tex]

[tex]Z = -3.5[/tex]

[tex]Z = -3.5[/tex] has a pvalue of 0.0002

0.9332 - 0.0002 = 0.933

0.933 = 93.3% probability that the second machine produces an acceptable cork.

Which machine is more likely to produce an acceptable cork?

Second one has a higer probability, so it is more likely to produce an acceptable cork.

5x+20=10 solve for x

Answers

Answer:

x= -2

Step-by-step explanation:

:D

Answer: x = -5

Step-by-step explanation:

There are 1,600 students at a university. 24% of students are sophomores, 20% are juniors, and 28% are seniors. How many students at the university are freshmen?

Answers

Answer:

448 freshman.

Step-by-step explanation:

How many students at the university are freshmen?

= (1 - (.24 + .2 + .28)) * 1600 = .28 * 1600 = 448 freshman.

A percentage is a way to describe a part of a whole. The number of students that are freshmen in the university is 448.

What are Percentages?

A percentage is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25 which is equal to 25%.

To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.

Given that 24% of students are sophomores, 20% are juniors, and 28% are seniors. Therefore, the percentage of the freshman in the university will be,

Percentage of freshman = 100% - 24% - 20% - 28%

                                         = 100% - 72%

                                         = 28%

Now, since there are a total of 1,600 students at the university. Therefore, the number of students that are freshmen in the university is,

Number of students = 28% of 1600

                                  = (28/100) × 1600

                                  = 448

Hence, the number of students that are freshmen in the university is 448.

Learn more about Percentages:

https://brainly.com/question/6972121

#SPJ5

7(3y – 1) = 119
Please help!!!!

Answers

21y-7=119
+7 +7
21y = 126
21y 21y
Y=6

Answer:

y=6

Step-by-step explanation:

7(3y-1)=119      multiple 3y and -1 by 7

21y-7=119        add 7 to 119

21y=126          divide 126 by 21

y=6

I NEED HELP ASPPPP! GIVE POINT IF YOU HELP!

Answers

Answer: All you have to do is since one batch needs 1 1/3 cup of walnuts multiply 1 1/3 to 3 3/4 = 3 1/4 cups

Step-by-step explanation:

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