1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Lelu [443]
2 years ago
6

The ages of three friends are consecutively one year apart. Together, their ages total 30 years. What is the age of the youngest

friend?
Mathematics
1 answer:
nadya68 [22]2 years ago
8 0

Answer:

The age of the youngest friend is 9 years old.

Step-by-step explanation:

3a = 30 - 3

= 27 ÷ 3

= 9

= 9 + 10 + 11 = 30

= 9 is the smallest number. So, the youngest friend is 9 years old.

You might be interested in
What is answer for 7/53?
Ber [7]

Answer: 7.57142857143

3 0
3 years ago
Sue read 2/3 of the newest mystery book by her favorite author. Jack read 2/6 of the same book. Did Sue and Jack read the same a
KATRIN_1 [288]

Answer:

No

Step-by-step explanation:

Jack read 2/6 or 1/3. Sue read 2/3, twice as much.

6 0
3 years ago
Read 2 more answers
Solve kx + 8 = 4 for x.
Harlamova29_29 [7]
K×x+8=4
k×x=4-8
k×x=-4
x=-4/k
7 0
3 years ago
Read 2 more answers
Let f(x)=−3x. The graph of f(x) ​is transformed into the graph of g(x) by a vertical stretch of 4 units and a translation of 4 u
Naily [24]
So the equation for these types of equations is f(x) = a(x-h)+k with h being a horizontal translation, a being a stretch/compression and k being a vertical translation. So here if you want a stretch of 4 a would be four, g(x)=4(-3x-h)+k. Also, there is a horizontal translation so it would be positive 4 into the equation. Since there is no change in the y-axis there is no vertical translation resulting in g(x) = 4(-3x-4)
8 0
3 years ago
Read 2 more answers
A shipment of 50,000 transistors arrives at a manufacturing plant. The quality control engineer at the plant obtains a random sa
Aleks04 [339]

Step-by-step explanation:

remember, the number of possible combinations to pick m out of n elements is C(n, m) = n!/(m! × (n-m)!)

50,000 transistors.

4% are defective, that means 4/100 = 1/25 of the whole.

so, the probability for one picked transistor to be defective is 1/25.

and the probability for it to work properly is then 1-1/25 = 24/25.

now, 500 picks are done.

to accept the shipment, 9 or less of these 500 picks must be defective.

the probability is then the sum of the probabilities to get

0 defective = (24/25)⁵⁰⁰

1 defective = (24/25)⁴⁹⁹×1/25 × C(500, 1)

= 24⁴⁹⁹/25⁵⁰⁰ × 500

2 defective = (24/25)⁴⁹⁸×1/25² × C(500, 2)

= 24⁴⁹⁸/25⁵⁰⁰ × 250×499

3 defective = 24⁴⁹⁷/25⁵⁰⁰ × C(500, 3) =

= 24⁴⁹⁷/25⁵⁰⁰ × 250×499×166

...

9 defective = 24⁴⁹¹/25⁵⁰⁰ × C(500, 9) =

= 24⁴⁹¹/25⁵⁰⁰ × 500×499×498×497×496×495×494×493×492×491 /

9×8×7×6×5×4×3×2 =

= 24⁴⁹¹/25⁵⁰⁰ × 50×499×166×71×31×55×494×493×41×491

best to use Excel or another form of spreadsheet to calculate all this and add it all up :

the probability that the engineer will accept the shipment is

0.004376634...

which makes sense, when you think about it, because 10 defect units in the 500 is only 2%. and since the whole shipment contains 4% defect units, it is highly unlikely that the random sample of 500 will pick so overwhelmingly the good pieces.

is the acceptance policy good ?

that completely depends on the circumstances.

what was the requirement about max. faulty rate in the first place ? if it was 2%, then the engineer's approach is basically sound.

it then further depends what are the costs resulting from a faulty unit ? that depends again on when the defect is usually found (still in manufacturing, or already out there at the customer site, or somewhere in between) and how critical the product containing such transistors is. e.g. recalls for products are extremely costly, while simply sorting the bad transistors out during the manufacturing process can be rather cheap. if there is a reliable and quick process to do so.

so, depending on repair, outage and even penalty costs it might be even advisable to have a harder limit during the sample test.

in other words - it depends on experience and the found distribution/probability curve, standard deviation, costs involved and other factors to define the best criteria for the sample test.

3 0
1 year ago
Other questions:
  • Tiffany answered 87% of the questions on her math test correctly. There were 50 questions on the test. How many questions did ti
    14·1 answer
  • If one coin is flipped and then a second coin is flipped, what is the probability that both coins turn up tails? question 18 opt
    11·1 answer
  • Louie ascended 6.75 miles up a mountain. Then he descended 3.4 miles down the mountain. What is Louie's location compared to his
    14·2 answers
  • Identify the 16th term of a geometric sequence where a1 = 4 and a8 = -8,748.. . -172,186,884. -57,395,628. 57,395,628. 172,186,8
    11·2 answers
  • 3(4x-2)=18<br><br>help please I'm begging you show work please
    9·1 answer
  • I WILL GIVE 20 POINTS PLEASE HELP
    11·2 answers
  • If you can bike 15 miles per hour, how long will it take you to bike 5 miles?
    7·2 answers
  • There are six girls and 18 boys in a class what percent of the students are girls
    5·2 answers
  • Find the Value of X. PLEASE HELP!!
    13·2 answers
  • Mario was asked by his teacher to express 33% in ratio, fraction, and decimal. Which of the following table do you think is an e
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!