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
2 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]2 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
What are the dimensions for this triangle?
REY [17]

Answer:

2 and 2

Step-by-step explanation:

Parallel sides of rectangles are congruent, and because the other side of both rectangles is 2, the sides of the triangle are 2 because they share the side with the rectangle.

4 0
3 years ago
Help find the missing segment???
SVEN [57.7K]
(9/6) = (15/?)
9? = 90
? = 10
6 0
2 years ago
Read 2 more answers
There are 120 Calories in a 34-cup serving of cereal. How many Calories are there in 6 cups of cereal? Enter your answer in the
Ilya [14]
Answer: 21.17 (22 rounded)

explanation: 120/34 = 3.529 calories per cup

3.529 x 6 cups = 21.17

hope this helps :)
7 0
3 years ago
PLEASE HELP ME OUT IM FAILING MATH
MrMuchimi

Answer:

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
May someone help, please ? Thank you ♥️
koban [17]
My final answer is (C) because for the side lenghts to be a right triangle, the values of the first and second terms should be equal to the third (a^2 and b^2 =c^2) hope that helped (:
3 0
3 years ago
Other questions:
  • HELP! Will give brainiest and 20 points! Please please help!
    10·1 answer
  • Choose the fraction that goes in the box 5/12&lt; &lt; 3/4
    13·1 answer
  • What interger describes withdrawing $100 from your bank account?
    15·1 answer
  • (8x10^-3) ÷ (2x10^-4)​
    14·1 answer
  • Describe the function
    11·2 answers
  • A certain number is added twicelly to 15 and it is 2 less than 27, what is the number plz?
    6·1 answer
  • If you know the y-intercept of a line what else do you need to write it equal
    13·1 answer
  • Write xyyzzz in exponential form.
    9·2 answers
  • How to solve this equation?
    6·1 answer
  • I need help... .........TnT"
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!