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
mihalych1998 [28]
3 years ago
5

While the histogram is not perfectly symmetric (there is mild right skewness), it is close enough to being symmetric and mound-s

haped to justify. Suppose the distribution of calories in a Chipotle meal can be considered symmetric and mound-shaped with mean 1071 calories and standard deviation 301 calories. Answer the following questions.a. What is the approximate percentage of the Chipotle meals that have more than 469 calories?b. What is the approximate percentage of Chipotle meals with calorie amounts between 1372 calories and 1673 calories?c. If a particular meal's calorie amount is equal to the 16th percentile of Chipotle meal calorie amounts, how many calories are in the meal?

Mathematics
1 answer:
erma4kov [3.2K]3 years ago
8 0

Answer:

a) 97.1\% b) 13.6\%  c) 772 \:calories

Step-by-step explanation:

\mu=1071,\:\sigma=301

1) The 68-95-99.7 rule tells us how a distribution is divided. 99.7% of the distribution should fall within 3; 95%,  2 and 68%, 1 standard deviation from the mean.

As you can see in the graph.

a). What is the approximate percentage of the Chipotle meals that have more than 469 calories?

By the rule

We have the interval 68% is equal to the mean plus 1 standard deviation and minus one standard deviation.

So

68\%=(\mu-2\sigma,\mu+2\sigma)=(1071-2(301), 1071+2(301)=(469,1672)

But the question wants to know more than 469 calories, then13.6\%+34\%+34\%+13.6\%+2.1\%=97.1\%\\

b. What is the approximate percentage of Chipotle meals with calorie amounts between 1372 calories and 1673 calories?

Check the graph below

This percentage is the interval, which is a quarter of that 95%

(\mu +\sigma,\mu+2\sigma)=(1372,1673)=\frac{95\%}{4}=13.6\%

c.. If a particular meal's calorie amount is equal to the 16th percentile of Chipotle meal calorie amounts, how many calories are in the meal?

Since we're dealing with a Normal Curve, then to find the 16th percentile we need:

  • The Mean and Standard deviation
  • The Z score and then multiply by that Standard Deviation
  • Add this to the mean

.Z\: score=-0.994\\\\(-0.994)*301=-299.194\\-299.194+\mu \Rightarrow -299.194+1071=771.806\approx772

We have the location 772 = 16th percentile. Since this meal is equal to 16th percentile, then this meal has 772 calories.

You might be interested in
A bus is traveling at a constant speed. If the bus trvaels 15 1/2 miles in 1/3 of an hour, how many miles will the bus travel in
Dima020 [189]

Answer:

46.5

Step-by-step explanation:

convert 15 1/2 to 15.5

multiply it by 3 because it moves 15.5 milea every 1/3 of an hour

5 0
2 years ago
What is the answer to: 20*5 thank you very much
Digiron [165]
20 times 5 is 100. We can multiply 2*5 and get 10, then add another zero to make it easier. 
3 0
3 years ago
What is the mixed number: 1 and 3/4 as a percent​
LenaWriter [7]

Answer:

175%

Step-by-step explanation:

1 would be 100%

3/4 would be 75%

100%+75%=175%

8 0
2 years ago
Chris's uncle has a model car. The model is 6 inches long and 3 inches wide. The actual car is 75 inches long. What is the actua
krek1111 [17]
6/75=3/x
x=75*3/6
x=37,5 inches
3 0
3 years ago
6. Pleassss helppp!
yaroslaw [1]

Answer:

Step-by-step explanation:

First expand the expression so you know the coefficients of x and y.

4(2x+y+2y) = 4(2x+3y) = 8x+12y

8x+12y  =  8x+12y

6x+7y  ≠  6x+12y

8x+y+2y  = 8x + 3y ≠  8x+12y

8x+4y+8y = 8x+12y = 8x+12y

3 0
3 years ago
Other questions:
  • Write as a mixed fraction: 22 / 3
    14·2 answers
  • Solve the equation:<br>9 + b/6 = 14
    10·2 answers
  • A parks and recreational board in Birch County is interested in estimating the proportion of its residents in favor of having mo
    14·1 answer
  • 0.87 repeating 7 written as a fraction is _____.
    12·1 answer
  • Trever Goetz is a salesperson who is paid a monthly salary of $500 plus a 2% commission on sales. How much must he sell to earn
    6·1 answer
  • 5x=3x+20 can you answer this and show how you got the answer
    10·2 answers
  • Bianca recently bought a rope that is 25 yards long. Find the length in feet
    9·2 answers
  • Which of the following is an EXPLICIT formula for the sequence 12, 15, 18, 2 points
    12·1 answer
  • What is the probability of rolling a pair of dice and getting a sum that is not 8?
    6·1 answer
  • What form is the equation below written in?<br> y = (x - 2)2 - 9
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!