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
Leto [7]
3 years ago
12

The quality control department at Alexander Fasteners measured the length of 100 bolts randomly selected from a specified order.

The mean length was found to be 6.8 cm, and the standard deviation was 0.7 cm. The bolt lengths are normally distributed.a. Determine the percentage of bolts shorter than 5.79 cm.b. Determine the percentage of bolts longer than 7.46 cm.c. Determine the percentage of bolts shorter than 5.79 cm.d. Determine the percentage of bolts that are longer than the nominal length of 6.65 cm.
Mathematics
1 answer:
erma4kov [3.2K]3 years ago
5 0

Answer:

a) P [Z < 5.79]  =  7.49 %

b) P [ Z > 7.46 ] = 82.38 %

c) P [ Z > 6.65 ]  = 91.68 %

Step-by-step explanation:

Normal Distribution

Population Mean     μ₀  = 6.8 cm

Standard Deviation  of population    σ = 0,7 cm

a) P [ Z < 5.79 ]  =  ??

z value ?

z = ( 5,79 - 6,8 ) / 0,7    ⇒   z = - 1.01 / 0,7  ⇒   z = - 1.442

From z table we get:

z =  - 1.442       ⇒   P [Z < 5.79]  =  0.0749     or

P [Z < 5.79]  =  7.49 %

b)  P [ Z > 7.46 ]

z =  ( 7.46 - 6,8 ) / 0,7    ⇒  z = 0.66 / 0.7   ⇒ z = 0.942

From z table

P [ Z > 7.46 ] = 0.8238    or     P [ Z > 7.46 ] = 82.38 %

c) P [ Z > 6.65]  

z  = ( 6.65 - 6.8 ) / 0.7       ⇒   z  = - 0,15 / 0.7     ⇒ z = - 0.214

From table we get area between 6.65 and the mean, therefore we have to add  ( 0.5 ) half of total area

Then from z table  

z = - 0,214         ⇒   0,4168

Then P [ Z > 6.65 ]  = 0,4168 + 0.5

P [ Z > 6.65 ]  = 0.9168    or

P [ Z > 6.65 ]  = 91.68 %

P [ Z > 6,65 ] = 0,5 +

You might be interested in
A swim team is divided into age groups: Guppies, stingrays, and sharks. There are 20 swimmers in the Stingray group. If we rando
ivanzaharov [21]

If you choose 10 swimmers and 4 are Stingrays, you can say that Stingrays make up roughly 40% of the swimmers. If 20 Stingrays make up 40% of all the swimmers, we just have to find what number 20 is 40% of. That’s easy enough by cross multiplication:

20/x = 40/100

20/x = 4/10

20/x = 2/5

x = 50.

Double check by multiplying 50 * 0.4. Since 50 * 0.4 = 20, we know we have the right answer. There are about 50 swimmers on this team.

5 0
2 years ago
Use the identity x^3+y^3+z^3−3xyz=(x+y+z)(x^2+y^2+z^2−xy−yz−zx) to determine the value of the sum of three integers given:
RoseWind [281]

Inserting all the given information into the identity, we have

684-3(210)=(x+y+z)(110-107)\implies x+y+z=18

4 0
3 years ago
I NEED HELP PLEASE !
MrRa [10]

Answer:

x = 4, -2 1/2

Step-by-step explanation:

factors:

(2x + 5) (x - 4)

set each factor equal to zero:

2x + 5 = 0

2x = -5

x = -5/2

x - 4 = 0

x = 4

6 0
3 years ago
HELP ME PLEASE!!! I WILL MARK YOU AS A BRAINLIEST!!
astra-53 [7]

Answer:

2.5 eggs per chicken

Step-by-step explanation:

8 0
3 years ago
Please help me solve this correct answer gets brainlist
julia-pushkina [17]

Answer:

hyp²= opp² + adj²

hyp²= 12² +4²

hyp²= 144+16

hyp²=160

hyp=√160

hyp= 4√10

8 0
3 years ago
Read 2 more answers
Other questions:
  • The club charges $10 per hour for snowboard lessons and $40 for the lift ticket and a snowboard rental.
    10·1 answer
  • Population 820 quake increases an annual rate of 22% so what will the approximate population be after 3 years?
    6·1 answer
  • going into the final exam, which will count as two tests, amelia has test scores of 77 84 70 59 and 92. what score does amelia n
    7·1 answer
  • Round 249,982 to the nearest hundred​
    9·2 answers
  • Number 5 i don’t know what to plug in for the original height
    12·1 answer
  • Please help asap 40 pts
    10·2 answers
  • Help find the measure of the angle indicated!!!?
    5·1 answer
  • Jasmine goes bowling. She has $25.00 spend. She spends $4.50 to rent shoes. She spends $2.50 for each game she
    5·2 answers
  • I WILL GIVE YOU BRAINLIEST 25 POINTS ASAP NO LINKS
    13·1 answer
  • Pls help im confused D:
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!