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
Lyrx [107]
3 years ago
15

A rectangle has a height of x+3 and a width of x+7. what is the area?

Mathematics
1 answer:
stiks02 [169]3 years ago
6 0

Answer:

4x+7

Step-by-step explanation:

You might be interested in
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
What is the GCF of 4and 2
Hoochie [10]

Answer:

2

Step-by-step explanation:

GCF stands for the "greatest common factor." Therefore because 2 can go into both 2 and 4 evenly, it is the GCF.

3 0
3 years ago
4/5x+5=9 solve for x please i have 8 questions left!!!!!!!!!!!
NemiM [27]

Answer:

x= 5

Step-by-step explanation:

You need to get rid of the fraction first and to do that you muliply the whole equation by 5 so that your new equation reads 4x+25=45. Then you subtract 25 from both sides so you have 4x=20. Divide both sides by 4 so x=5.

5 0
2 years ago
Evaluate 3+(−4)−8−(−1)
castortr0y [4]

Answer: - 8

Step-by-step explanation:

3+(−4)−8−(−1)

3 - 4 - 8 + 1

3 - 12 + 1

-9 + 1

- 8

4 0
3 years ago
Read 2 more answers
4. The mode of the following data set is 15, 16, 17, 23. 11, 19, 20, 15, 18, 22. 15, 19​
ASHA 777 [7]

ANSWER ↓

========================

u can download the gauthmath app i promise it's very helpful here's the code if needed <u>3AFJF9</u>

<em>trust</em><em> me</em><em> its</em><em> very</em><em> helpful</em><em> </em><em>:</em><em>)</em>

7 0
3 years ago
Read 2 more answers
Other questions:
  • What are the functions for g(x)?
    5·1 answer
  • Dan is framing a picture of his baseball team.
    6·1 answer
  • PLZ HELP! ASAP!!! I WILL GIVE BRAINLIEST
    9·1 answer
  • Write an equation in slope-intercept form for the line that passes through (0, 1) and is perpendicular to the line whose equatio
    9·1 answer
  • 2. How many solutions does each equation
    11·1 answer
  • What is the range of the data set(0,0,0,5,6,7,10)
    12·1 answer
  • X^2+16x+63=0 enter the solutions from least to greatest
    8·1 answer
  • Use the distributive property to write the expression without parentheses.<br> 8(5x+7)
    8·1 answer
  • U is a midsegment of AFGH. 1) = 7, FH = 9, and GH= 12. Find the perimeter of AIJH. F​
    15·1 answer
  • By paying $50 cash up front and the balance at $35 a
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!