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
Tatiana [17]
3 years ago
5

The number of nails of a given length is normally distributed with a mean length of 5 in and a standard deviation of 0.03 find t

he number of nails in a bag of 120 that are over 5.03 in long
Mathematics
1 answer:
umka2103 [35]3 years ago
5 0

Answer:

19 nails

Step-by-step explanation:

Let's first determine the z-score by using the formula:

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

Where x=5.03, μ=5, σ=0.03 and so:

z=\frac{5.03-5}{0.03}=1


We can now use a z-score table to determine that 1.00 is synonymous with 0.8413 meaning 84.13%.  This means that 84.13% of the nails are less than or equal to 5.03 inches long.  Therefore, since we know 100% = 1 in decimals we can determine that the length greater than 5.03 inches is 1-0.8413=0.1587.  This means that 15.87% of the 120 nails are greater than 5.03 inches long.

Finally, we can determine how many nails are greater than 5.03 by determining what is 15.87% of 120 which is:

120 \times 0.1587 \approx 19

And so 19 out of the 120 nails are greater than 5.03 inches long.

You might be interested in
Having done poorly on their math final exams in​ June, six students repeat the course in summer​ school, then take another exam
pochemuha

Answer:

Yo yo

Step-by-step explanation:

6 0
3 years ago
What is a the are of a sqeuar with sides of 7/8 ? Use a formula A = s2
Kay [80]

Answer:

Step-by-step explanation:

Area of square= S^2

S = 7/8

= 7/8 ^ 2

= 49/64

3 0
2 years ago
Distribute <br>(x-6)(x-7)<br><br>a) x^2-13x-15<br>b) x^2-13x+42<br>c) x^2+x+42<br>d) x^2+x-15​
Sidana [21]

Answer:

B. x² - 13x + 42

Step-by-step explanation:

7 0
2 years ago
What is the center of a circle whose equation is x^2+y^2-12x-2y+12=0
Evgen [1.6K]

Answer:

(6, 1)

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
−8.5x + 0.36 = −3.04
erma4kov [3.2K]
X= 0.4

-8.5x=-3.4
x=0.4
4 0
2 years ago
Other questions:
  • 10. A parasailor is attached to a boat with a rope 80 feet long. The angle of elevation
    11·1 answer
  • Evaluate each expression.<br><br> d = 5<br><br> e = 8<br><br> f = 10
    5·1 answer
  • What percent is .0.62
    9·2 answers
  • FIRST TO AWNSER GETS BRAINLEST! Koji is installing a rectangular window in an office building. The window is 8 2/3 feet wide and
    5·1 answer
  • Which expression does not belong with the other three? Explain your reasoning. 10/-5 -10/5 -10/-5 or -(10/5)
    8·1 answer
  • Let (-3,5) be a point on the terminal side of theta. Find the exact values of sin theta, secant theta, and tangent theta
    11·1 answer
  • Slope for (2,-5) (1,5)​
    8·1 answer
  • What is the coordinate point of this equation?
    6·2 answers
  • A dress is on sale for $98. What was the original price of the dress if the discount was 1/3 of the original price?
    9·1 answer
  • Help me now and I will be happy
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!