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
NikAS [45]
3 years ago
13

The diameters of bolts produced in a machine shop are normally distributed with a mean of 5.71 millimeters and a standard deviat

ion of 0.08 millimeters. Find the two diameters that separate the top 4% and the bottom 4%. These diameters could serve as limits used to identify which bolts should be rejected
Mathematics
1 answer:
Harlamova29_29 [7]3 years ago
7 0

Answer:

The bolts with diameter less than 5.57 millimeters and with diameter greater than 5.85 millimeters should be rejected.

Step-by-step explanation:

We have been given that the diameters of bolts produced in a machine shop are normally distributed with a mean of 5.71 millimeters and a standard deviation of 0.08 millimeters.    

Let us find the sample score that corresponds to z-score of bottom 4%.  

From normal distribution table we got z-score corresponding to bottom 4% is -1.75 and z-score corresponding to top 4% or data above 96% is 1.75.

Upon substituting these values in z-score formula we will get our sample scores (x) as:

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

-1.75=\frac{x-5.71}{0.08}

-1.75*0.08=x-5.71

-0.14=x-5.71

-0.14+5.71=x-5.71+5.71

5.57=x

Therefore, the bolts with diameters less than 5.57 millimeters should be rejected.

Now let us find sample score corresponding to z-score of 1.75 as upper limit.

1.75=\frac{x-5.71}{0.08}

1.75*0.08=x-5.71

0.14=x-5.71

0.14+5.71=x-5.71+5.71

5.85=x  

Therefore, the bolts with diameters greater than 5.85 millimeters should be rejected.

You might be interested in
Factor the following expression:<br><br> 15x + 11
guajiro [1.7K]

Answer:you cant

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
Find the volume of a cylinder with a diameter of 8 inches and a height that is three times radius
ollegr [7]

Answer:

96π^2 = 947.48

Step-by-step explanation:

π × r² × h

8π times 3*4*π

6 0
3 years ago
Read 2 more answers
2 of a dozen eggs are cracked. What percent of the carton is NOT cracked using the percent proportion
levacccp [35]

If 2 of 12 eggs are cracked, then 10 are not cracked.

SO

10/12=5/6=about 0.83

0.83 of total eggs not cracked is also equivalent to 83 percent as asked in the problem :)

6 0
3 years ago
How could you use 1/4 cup measuring cup to measure the water of 3/4 of a cup
VashaNatasha [74]

Answer:

you fill it 3 times

Step-by-step explanation:

1/4 * 3 = 3/4

8 0
3 years ago
explain how mid-nineteenth-century American values and social trends are conveyed in The Voyage of Life paintings by Thomas Cole
Thepotemich [5.8K]

Answer:

Step-by-step explanation:

American values and social trends are conveyed in The Voyage of Life paintings by Thomas Cole. how did society influence the art

8 0
2 years ago
Other questions:
  • Which statement could the expression n + 1 represent?
    13·2 answers
  • What is the value of q? <br><br> A.) 8.25<br> B.) 8.8<br> C.) 16.5<br> D.) 4.4
    7·2 answers
  • What is the value of x/2y , when x = 10 and y = 1? <br> a. 1/10 <br> b. 1/5 <br> c. 5 <br> d. 10
    7·2 answers
  • Find the simplified form of (-7.4)^0?<br><br> A.-1<br><br> B.-7.4<br><br> C.0<br><br> D.1
    11·1 answer
  • Help me PLEASEEEEEEEEEEEEE
    8·2 answers
  • What is the answer to this?
    13·1 answer
  • What’s an explanation function ?
    13·1 answer
  • 700,000,000+60,000,000+8,000,000+90,000+2,0000+50+4
    11·1 answer
  • Area of a triangle using sine rule: <br> workout area of ABCD <br> please show working out
    10·1 answer
  • For which value of b will the quadratic equation x^2 — bx + 16 = O have
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!