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
Diano4ka-milaya [45]
3 years ago
6

A machining operation produces bearings with diameters that are normally distributed with mean 3.0005 inches and standard deviat

ion .0010 inch. Specifications require the bearing diameters to lie in the interval 3.000±.0020 inches. Those outside the interval are considered scrap and must be remachined. With the existing machine setting, what fraction of total production will be scrap?
Mathematics
1 answer:
padilas [110]3 years ago
7 0

Answer:

5%

Step-by-step explanation:

The 68-95-99.7 rule for the Normal distribution is an empirical rule that remind us the percentages of data that falls between the mean ± 1, ± 2 and ± 3 standard deviations.

That is to say, if the mean is m and the standard deviation s, roughly speaking 68% of the data falls between  [m-s, m+s], 95% between [m-2s, m+2s] and 99.7% between [m-3s, m+3s].

Since the mean is 3.0005 and the standard deviation is s=0.0010, 2s=0.0020, 95% of the data should fall between [3.0005-0.0020, 3.0005+0.0020] and 5% outside this interval. So <em>around 5% of total production will be scrap</em>.

 

You might be interested in
In a class of 6, there are 2 students who forgot their lunch.
lukranit [14]

Answer:

1/8

Step-by-step explanation:

AB,AA,BB,BB,BB,BB,BB,BB,

*A IS THE students that forgot thier lunch

4 0
3 years ago
Create at least three equations where the quadratic has a vertex of (-3,-4). Explain how you would do that, please.
Helen [10]

vertex = \binom{ -  \frac{b}{2a} }{ \frac{4ac -  {b}^{2} }{4a} }
5 0
3 years ago
Solve 2.23x + 6 ( 56.1 ).
tensa zangetsu [6.8K]

8637778929202919889988

6 0
3 years ago
Use 3 for at Volume of a Cylinder
pychu [463]

Step-by-step explanation:

464.5cm³

.

.

.

.

.

.

.

.

.

.

.

.

.

.

.

.

.

.

.

.

.

.

3 0
3 years ago
Problem 2-11 (Algorithmic) Let A be an event that a person's primary method of transportation to and from work is an automobile
dangina [55]

The events are mutually exclusive, because your primary method can't be both a driving a car or taking a bus.

Since they are exclusive, the probability of the "or" clause is the sum of the probabilities:

P(A\lor B)=P(A)+P(B)=0.48+0.32=0.8

Since a person primarily takes a bus with probability 0.32, the opposite happens with probability

1-P(B) = 1-0.32=0.68

7 0
3 years ago
Other questions:
  • Describe the relationship between the domain of an inverse sine function and the range of a sine function
    11·2 answers
  • Planes A and B intersect in line s. If point V is a point on line s, then it lies on:
    11·1 answer
  • 2. What is the rule for this input-output table?
    13·1 answer
  • Name the parent function for the graph below.<br> HELP PLEASE
    10·2 answers
  • Find a10 given the geometric sequence 3, 12, 48, 192, ...
    10·1 answer
  • Determine whether b is in the column space of A. If it is, then write b as a linear combination of the column vectors of A. (Use
    10·1 answer
  • Find the surface area of a rectangular prism with a height of 16 feet, a width of 10 feet, and a length of 13 feet.
    6·1 answer
  • Which set of line segments can be used to construct a triangle?
    5·1 answer
  • Which two expressions have the same value?
    6·2 answers
  • Equivalent expressions-8(3r-4)-6
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!