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
Andreyy89
3 years ago
13

The width of a slot of a duralumin forging is (in inches) normally distributed with μ= 0.9000 and σ = 0.0030. The specification

limits were given as 0.9000 ±0.0050. Show your calculations. Draw normal curves wherever appropriate.
a) What percentage of forgings will be defective?
b) What is the maximum allowable value of σ that will permit no more than 1 in 100 defectives when the widths are normally distributed with μ = 0.9000 and σ (revised value)?
Mathematics
1 answer:
Lubov Fominskaja [6]3 years ago
4 0

Answer:

a) 9.56%

b) 0.0019

Step-by-step explanation:

a) Find the z-scores.

z = (x − μ) / σ

z₁ = (-0.0050) / 0.0030

z₁ = -1.67

z₂ = (0.0050) / 0.0030

z₂ = 1.67

Find the probability using a chart or calculator.

P(Z < -1.67 or Z > 1.67) = 2 P(Z < -1.67)

P(Z < -1.67 or Z > 1.67) = 2 (0.0478)

P(Z < -1.67 or Z > 1.67) = 0.0956

b) Use a chart or calculator to find the z-score.

P(Z < -z or Z > z) = 0.01

P(Z < -z) = 0.005

z = 2.576

Find the standard deviation.

z = (x − μ) / σ

2.576 = (0.0050) / σ

σ = 0.0019

You might be interested in
Please help! Looking for the solution for the picture below
zhenek [66]
Answer: (A - B)' = {1, 2, 3, 5, 6, 7, 8, 9, 10,12, 13}

Explanation:

The roster form of a set is the elements listed inside brackets { }.

In this case it is easy to visualize A - B directly of the Venn diagram: when you subtract from A those elements that are also in B, the result is A - B = {4, 11, 14}.

Now take into account tha (A - B)' is the complement of (A - B), this is all the elements that are not in A - B.

Being A - B = {4, 11, 14} then to show (A - B)' you just have to list all the elements that are on the figure except 4, 11 and 14.

The result, in roster form, is (A - B)' = {1, 2, 3, 5, 6, 7, 8, 9, 10, 12, 13}
7 0
3 years ago
Write 2.786 as a fraction in common form
Arlecino [84]

Answer:

2 393/500

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
Find the value of x in this polygon.
ExtremeBDS [4]

Answer:

68

Step-by-step explanation:

you have to add to 180 and 68+112=180

8 0
3 years ago
the tens digit of a two digit number is 5 greater the units digit. If you subtract double the reversed number from it, the resul
likoan [24]

Given:

The tens digit of a two digit number is 5 greater the units digit.

If you subtract double the reversed number from it, the result is a fourth of the original number.

To find:

The original number.

Solution:

Let n be the two digit number and x be the unit digit. Then tens digit is (x+5) and the original number is:

n=(x+5)\times 10+x\times 1

n=10x+50+x

n=11x+50

Reversed number is:

x\times 10+(x+5)\times 1=10x+x+5

x\times 10+(x+5)\times 1=11x+5

If you subtract double the reversed number from it, the result is a fourth of the original number.

11x+50-2(11x+5)=\dfrac{1}{4}(11x+50)

11x+50-22x-10=\dfrac{1}{4}(11x+50)

40-11x=\dfrac{1}{4}(11x+50)

Multiply both sides by 4.

160-44x=11x+50

160-50=11x+44x

110=55x

Divide both sides by 55.

\dfrac{110}{55}=x

2=x

The unit digit is 2. So, the tens digit is 2+5=7.

Therefore, the original number is 72.

6 0
2 years ago
What is the answer for (14÷49)+((18+7)×9).
balu736 [363]
228.5 I believe. 14/49 is 3.5. 18+7 is 25x9 is 225. 225+3.5 would be 228.5
3 0
2 years ago
Other questions:
  • Y=-6x-5 x and y intercept form
    10·2 answers
  • Answer the question and explain how did you get the answer. answer number 10.
    12·1 answer
  • What is the interquartile range of the data set? {18, 17, 10, 25, 20, 20, 30, 18, 18, 30, 25}
    10·1 answer
  • PLEASE ANSWERRRRRRRRRRRR
    7·2 answers
  • Which of these sentences is always true for a parallelogram?
    14·2 answers
  • Can someone explain to me Linear Equations being equivalent?
    11·1 answer
  • What is the approximate area of the shaded region in the given square containing 2 semicircles? (Use * 3.14.) 10 cm 0 21.5 squar
    14·2 answers
  • HELP PLZZ I THINK ITS B OR D MIGHT BE WRONG ​
    9·1 answer
  • ANSWER QUICKLY! Brainliest if you get the correct answer
    9·2 answers
  • Find a and y<br> ................
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!