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
denis23 [38]
2 years ago
8

The lengths of a lawn mower part are approximately normally distributed with a given mean = 4 in. and standard deviation = 0.2 i

n. What percentage of the parts will have lengths between 3.8 in. and 4.2 in.? 34% 68% 95% 99.7%
Mathematics
2 answers:
vova2212 [387]2 years ago
8 0

Answer: EDGE 2020 Quiz

Step-by-step explanation:

1. The average miles per gallon of a particular automobile model are approximately normally distributed with a given mean Mu = 43.8 miles per gallon and standard deviation Sigma = 5.1 miles per gallon. What percentage of the automobiles have an average miles per gallon between 38.7 miles per gallon and 48.9 miles per gallon?

A.) 68%

2. What is the mean of the normal distribution shown below?

C.) 4

3. The annual salaries of all employees at a financial company are normally distributed with a mean of $34,000 and a standard deviation of $4,000. What is the z-score of a company employee who makes an annual salary of $54,000?

D.) 5

4. The lengths of a lawn mower part are approximately normally distributed with a given mean Mu = 4 in. and standard deviation Sigma = 0.2 in. What percentage of the parts will have lengths between 3.8 in. and 4.2 in.?

B.) 68%

5. The mean of the temperatures in the chart is 24° with a standard deviation of 4°. Which temperature is within one standard deviation of the mean?

C.) 22°

6. Which statement must be true?

D.) Each distribution has the same mean and a different standard deviation.

7. The heights of a certain type of tree are approximately normally distributed with a mean height Mu = 5 ft and a standard deviation Sigma = 0.4 ft. Which statement must be true?

D.) A tree with a height of 6.2 ft is 3 standard deviations above the mean.

8. What is the difference of the means of the distributions?

A.) 15

9. )The weights of boxes of candies produced in a factory are normally distributed with a mean weight of 16 oz and a standard deviation of 1 oz. What is the weight of a box of candies with a z-score of 2?

B.) 18 oz

10. What is the mean of the normal distribution shown below?

B.) 0

Charra [1.4K]2 years ago
5 0

Answer:

68 %

Step-by-step explanation:

Let's call X to the random variable ''lengths of a lawn mower part''.

X ~ N(given mean;standard deviation)

X ~ N(4 in;0.2 in)

To find the percentage,first we are going to turn this random variable X into a random variable Z. Z will be a N(0;1)

We do this by subtracting the given mean to the original variable and dividing by it deviation.

P (3.8 in < X < 4.2 in) =

P [(3.8 in - 4 in) / (0.2 in)] < [(X - 4 in)] / (0.2 in) < [(4.2 in - 4 in) / (0.2 in)]

P ( -1 < Z < 1 ) = P (Z < 1) - P (Z< -1)

Where we can find  P (Z < 1) and  P (Z< -1) in any table of a N(0;1)

P (Z < 1) - P (Z< -1) = 0.8413 - 0.1587 = 0.6826 = 68%

You might be interested in
Jill wrote the number 40 if her rule is add 7 whats is the fourth nymber in jills pattern how many can you check you answer
Rudik [331]

Answer:

68

Step-by-step explanation:

1) 40+7=47

2) 47+7=54

3) 54+7=61

4) 61+7=68

6 0
3 years ago
What is 2/3 multiplied by 3/4 simplified? I need step by step to get answer.
Masteriza [31]
You start with the top number of each fraction and multiply them. So 2x3=6. Next you take the bottom number and multiply. So 3x4=12. That would give you a fraction of 6/12. 6 is half of 12 so 6/12 simplified is equal to 1/2. Hope this helps!
3 0
3 years ago
What is m∠G to the nearest tenth? A right angle triangle EFG. The length of EF is 28.2 and GF is 45.8. Angle GFE is given as 90
mixas84 [53]

Answer:

31.6°

Step-by-step explanation:

The triangle given us a right angled Triangle

We solve the above question using the trigonometric function of Tangent

The formula is given as:

tan θ = opp/adj

θ = m∠G = ?

Opposite = EF is 28.2

Adjacent = GF is 45.8

tan θ = 28.2/45.8

θ = arc tan (28.2/45.8)

θ = 31.621459805°

Approximately

m∠G = 31.6°

7 0
2 years ago
Is 5/20 a rational number
weqwewe [10]

Answer:

yes because it is written as a fraction

6 0
2 years ago
Read 2 more answers
What is the distance between 2 and -5.3?​
ad-work [718]

Answer:

7.3

Step-by-step explanation:

Two minuses, one minus inside a bracket and one outside, make a plus.

2-(-5.3) = 2+5.3

            = 7.3

5 0
3 years ago
Other questions:
  • Rational number are ___ natural numbers?<br> Always <br> Sometimes<br> Never
    12·2 answers
  • a cross section of a parabolic glass mirror of the Hubble space telescope shown can be modeled by the graph of the function y=0.
    5·1 answer
  • D. Lamar's teacher extended the graph as shown below and asked Lamar to write the function for the graph shown below using f(x)
    9·1 answer
  • May someone please help me??
    12·1 answer
  • Is 11/15 less than 1/2
    9·2 answers
  • Sam recorded the number of points she scored on each weekly test out of the number of points possible for the test. In which two
    15·1 answer
  • Charges $5 entree fee and $2 per hour
    9·1 answer
  • Hun Lee is skateboarding and using energy at a rate of 400 kilocalories per hour. At what rate is Hun Lee using energy in minute
    12·1 answer
  • HELP PLEASE IM IN A TIMED TESTTTT !!!
    15·1 answer
  • The diameter of a circle is 10 kilometers. What is the angle measure of an arc 3​ kilometers long?
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!