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
Jenson is picking out what to wear to school. He has three clean T-shirts: one white, one red, and one orange. He also has two c
swat32
There are 6 outcomes 
white-Blue-Grey(2 outcomes)
Red-blue-grey(2 outcomes)
orange-blue-grey(2 outcomes)
If I miss understood the question please let me know so I can correct myself.
3 0
3 years ago
A survey of us adults found that 11% think that congress is a good reflection of american views. you rnadomly select 35 us adult
irina [24]

Answer:

C) Less than 5

Step-by-step explanation:

First you find 11% of 35

35 x .11 = 3.85

3.85<5

Therefor- it's less than five. No idea if that was the question but uh- that's what I understood from it. TwT

8 0
3 years ago
What is 144 divided by 3 and does it have a remainder
Karolina [17]
The answer is 48 and no.
5 0
3 years ago
Read 2 more answers
Please can someone help me out? ​
fredd [130]

Answer: 31?

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
What is the volume of the figure down below?
11111nata11111 [884]
The answer is C. All calculations of a cone or the cone equal up to 353.77. Hope this helps!
6 0
3 years ago
Other questions:
  • Explain how to use your number line to find the opposite of the opposite of -6
    11·1 answer
  • What is the f(x)=(x-2)(x-4)​
    9·1 answer
  • Using rectangles whose height is given by the value of the function at the midpoint of the​ rectangle's base, estimate the area
    12·1 answer
  • Estimate the difference 625-248
    8·1 answer
  • With the given information, write the equation for the line in slope intercept form. (-2, 1) (2, -2)
    5·1 answer
  • What is 85% of 160????????????
    6·2 answers
  • PLEASE HELP ME IT IS DUE TOMORROW!!!!!
    10·1 answer
  • What would my grade be if i got 68% on my exam?
    13·2 answers
  • What is the slope of the line?answer
    8·2 answers
  • Would like some help on this question please ?
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!