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
lys-0071 [83]
3 years ago
12

The manufacturing of a ball bearing is normally distributed with a mean diameter of 22 millimeters and a standard deviation of .

016 millimeters. To be acceptable the diameter needs to be between 21.97 and 22.03 millimeters. a. What is the probability that a randomly selected ball bearing will be acceptable
Mathematics
1 answer:
Misha Larkins [42]3 years ago
6 0

Answer:

0.1507 or 15.07%.

Step-by-step explanation:

We have been given that the manufacturing of a ball bearing is normally distributed with a mean diameter of 22 millimeters and a standard deviation of .016 millimeters. To be acceptable the diameter needs to be between 21.97 and 22.03 millimeters.

First of all, we will find z-scores for data points using z-score formula.

z=\frac{x-\mu}{\sigma}, where,

z = z-score,

x = Sample score,

\mu = Mean,

\sigma = Standard deviation.

z=\frac{21.97-22}{0.016}

z=\frac{-0.03}{0.016}

z=-0.1875

Let us find z-score of data point 22.03.

z=\frac{22.03-22}{0.016}

z=\frac{0.03}{0.016}

z=0.1875

Using probability formula P(a, we will get:

P(-0.1875

P(-0.1875  

P(-0.1875

Therefore, the probability that a randomly selected ball bearing will be acceptable is 0.1507 or 15.07%.

You might be interested in
- (A) The following data was received from the Student Affairs Unit of the University
ladessa [460]

Answer: i) 30 students for chemistry

ii) 21 students for only one subject

iii) 61 students

Step-by-step explanation: from the question we got 30 students registered for chemistry. number students only for biology = (27-18) = 9

number of students only for chemistry = (30-18) = 12

number of student registered for only one subject = (12+9)= 21

number of students registered for neither two subjects = {100-(9+12+18)} = 61

5 0
3 years ago
What is the average speed (miles/hour) for an object going 1500 feet in 1 minute. Round answer to two decimal places.
svetlana [45]

there are 3600 seconds per hour

5280 feet per mile

1 foot per second = 3600/5280 = 0.681818 Miles per Hour

 60 seconds per minute

 so 1500/60 = 25 feet per second

25 x 0.681818 = 17.05 miles per hour


8 0
3 years ago
If five friends want to share 1.25 of a pizza evenly how much pizza would each person get
Amanda [17]

1.25 /5

12/5 = 2  with 2 left over

25/5 = 5

2 numbers

1.25 /5 = .25

Each person gets .25 of a pizza

4 0
3 years ago
Read 2 more answers
Ab" that goes through points (0,17)
KonstantinChe [14]
Yes firebox beans Amanda’s
3 0
1 year ago
X^2+18x+72 factoring
Andre45 [30]

Answer:

92kyroydyodpgxtzoggz

Step-by-step explanation:

2+92r

3 0
3 years ago
Other questions:
  • What is 17,384,069 rounded to the nearest ten
    9·2 answers
  • $13 for the discount
    15·1 answer
  • Help please 20 points.
    8·1 answer
  • What type of sequence is this: 4,6,8,10....?
    15·1 answer
  • A vertex a is at (-1, -2)
    15·1 answer
  • Can you help me please?
    15·1 answer
  • You forgot the last two digits of your friends phone number. You know that the next to last digit is 4 or 5, and the last digit
    6·2 answers
  • Very urgent. Please help
    7·2 answers
  • Can someone please help me and write out the answer​
    7·1 answer
  • Find the slope of each line
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!