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]
3 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]3 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]3 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
Five and one half less than 3 times a number
Rama09 [41]

3x - 5 1/2      is the expression


5 0
3 years ago
Evatuate expreeion of the valube 5 (9+d) - 6
sammy [17]

Answer:

39 + 5d

Step-by-step explanation:

First multiply 5 by 9 and 5 by d then subtract 6 from 45 (which you get from multiplying 5 by 9) and you get 39 and multiply 5 by d so you get 39 + 5d

7 0
2 years ago
Read 2 more answers
On a Saturday, Saul can cut 4 lawns in 6 hours. If Mitch can mow lawns at the same rate, how long will it take him to
kotykmax [81]

Answer:

13 1/2 hours

Step-by-step explanation:

4/6=9/x then find the rate and solve

5 0
3 years ago
0.03256 3 s.f help please
Andrews [41]

Answer:

Step-by-step explanation:

This is hard

4 0
3 years ago
Evaluate the expression 3 4/5x-2 1/2 for x =-10
lyudmila [28]

Answer:

The value of given expression for x = - 10  is - 81

Step-by-step explanation:

Given expression as :

3 \frac{4}{5}x - 2 \frac{1}{2}

Or, 3 +  \frac{4}{5}x  - 2 -  \frac{1}{2}

Or,  \frac{19}{5}x -  \frac{5}{2}

or,  \frac{38 x - 25}{5}

Now for  x = - 10

\frac{38\times (- 10)  - 25}{5}

Or, {38\times (- 2)  - 5}

∴ - 76 - 5

Or, - 81

Hence The value of given expression for x = - 10  is - 81  Answer

5 0
3 years ago
Other questions:
  • The independent variable is always the frist value in an ordered pair ?? <br><br> True or false
    9·1 answer
  • Is y=2x+5 a example of a proportional realationship
    8·2 answers
  • Simplify the expression. show work. <br> 9xy^ - 11xy^
    13·1 answer
  • Simplify s^2-2s/ s^2 +3s-10 \ s-5/s+5
    14·1 answer
  • What is 3x +2 (5x -7) simplified
    14·1 answer
  • Janet wanted to understand the whether grade level had any relationship
    10·1 answer
  • Plzzzzzzzzzzz help im dumb
    7·1 answer
  • Jordan earns $243 a week. A week The money is shown at the right. Answer the questions about how much he will earn over time.
    10·1 answer
  • Pls help me pls pls pls
    15·1 answer
  • Pleaseee answer this!!!!
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!