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
Jacque needs to buy some pizzas for a party at her office. She’s ordering from a restaurant that charges a $7.50 delivery fee an
Shalnov [3]

Lets answer the information by making it look like a budget subtraction:

60 = Total

1. Remove the delivery cost, so you can leave the rest of the budget for your pizzas.

60 - 7.50 = 52.50

2. Now, subtract the cost of pizzas multiple times until you reach it to where you dont have enough for another pizza.

52.50 - 14 = 38.50  Pizza 1

38.50 - 14 = 24.50  Pizza 2

24.50 - 14 = 10.50  Pizza 3

Now, theres not enough to buy another.

So, we know that Jacque can only afford 3 pizzas, but she need to calculate the number of slices.

3. Multiply the number of slices by the number of pizzas.

8 x 3 = 24

So, the largest number is 24 slices.

4 0
3 years ago
A child walks 5.0 meters north, then 4.0 meters east, and finally 2.0 meters south. What is the magnitude of the resultant displ
Dafna11 [192]
<h2>file:///E:/Kinematics%20Review%208080.pdf</h2><h2></h2><h2>here is your answer</h2>
6 0
3 years ago
240 people are going to a charity event. 3/5 of the guests have ordered chicken for their meals. Of the remaining guests, 12.5%
fiasKO [112]

Answer:

84

Step-by-step explanation:

5 0
2 years ago
Find the surface area of the pyramid song to the nearest whole number.
Xelga [282]

Answer:

85 ft^2

Step-by-step explanation:

Base = 5 x 5 = 25 ft^2

<u>FOUR</u> triangles   <u> 4</u>  *   1/2 * b * h  = 4 * 1/2 * 5 * 6 = 60 ft^2

added together = 85 ft^2

4 0
2 years ago
What is The product of two numbers is equal to 14
tiny-mole [99]

You can multiply 2x7 to get 14

4 0
3 years ago
Read 2 more answers
Other questions:
  • Which statements must be true regarding the diagram?<br> (please check more than one answer)
    9·2 answers
  • A work shift for an employee at a restaurant consists of 10 hours. What fraction of the employee's work shift is represented by
    11·2 answers
  • Zoe wrote 3/5 of her essay in 30 minutes. Assuming she wrote the paper at a constant rate the entire time, which expression can
    8·1 answer
  • A ferris wheel can accommodate 40 in 30 minutes. how many people could ride the ferris wheel in 3 hours? what is the total rate
    14·1 answer
  • Completely factorize (2x+3)^-2 + 2x(2x+3)^-3
    15·1 answer
  • The sum of two numbers makes thirteen and their difference is 7
    12·2 answers
  • I’ll love you forever if you help me with this ASAP PLEASE
    8·2 answers
  • What’s the answer I need it ASAP
    9·1 answer
  • Help!!!!
    7·1 answer
  • URGENT - How would I write 2 less than triple a number?
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!