1) our planet's (equatorial) circumference. Earth's diameter is approximately 8,000 miles, and the general formula for the circumference of a circle is C = π *d My intention is for you to do this with a function. The prototype might, for example, be: double calculateCircumference (double diameter); Call this function a second time to calculate and display the circumference of the Sun (whose diameter you can look up and is approximately 100 times that of Earth's). a) The distance between time zones along the equator is approximately 1,000 miles. Can you use this information to calculate and display the number of hours in a day? 2) our planet's surface area in square miles. The surface area of a sphere is given by SA = 477² As with the circumference, my intention is for you to write a function that performs this operation. Call this function a second time to determine the sun's surface area. a) By comparison, the surface area of Japan is approximately 150,000 sq. mi. About how many "copies" of Japan would it take to cover our planet?

C++ for Engineers and Scientists
4th Edition
ISBN:9781133187844
Author:Bronson, Gary J.
Publisher:Bronson, Gary J.
Chapter6: Modularity Using Functions
Section: Chapter Questions
Problem 7PP: (Numerical) Heron’s formula for the area, A, of a triangle with sides of length a, b, and c is...
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I need help figuring out this program and putting it in c++.

1)
our planet's (equatorial) circumference. Earth's diameter is approximately 8,000 miles, and the general formula for the
circumference of a circle is
C = π *d
My intention is for you to do this with a function. The prototype might, for example, be:
double calculateCircumference (double diameter);
Call this function a second time to calculate and display the circumference of the Sun (whose diameter you can look up
and is approximately 100 times that of Earth's).
a) The distance between time zones along the equator is approximately 1,000 miles. Can you use this information to
calculate and display the number of hours in a day?
2)
our planet's surface area in square miles. The surface area of a sphere is given by
SA = 4TT²
As with the circumference, my intention is for you to write a function that performs this operation.
Call this function a second time to determine the sun's surface area.
a) By comparison, the surface area of Japan is approximately 150,000 sq. mi. About how many "copies" of Japan would it
take to cover our planet?
Instructions for part 2 - finding a mean and standard deviation
1) Write a program that finds the mean (first function) and standard deviation (second function) of a list of 4 numbers.
The mean (AKA: average) is defined in this case as:
x1+x2+x3+x4
4
And the standard deviation (a quantity that determines how "spread out" a data set is) is defined as
(x1−x)²+(x2−x)²+(x3−x)²+(x4−x)²
4
σ =
x =
Transcribed Image Text:1) our planet's (equatorial) circumference. Earth's diameter is approximately 8,000 miles, and the general formula for the circumference of a circle is C = π *d My intention is for you to do this with a function. The prototype might, for example, be: double calculateCircumference (double diameter); Call this function a second time to calculate and display the circumference of the Sun (whose diameter you can look up and is approximately 100 times that of Earth's). a) The distance between time zones along the equator is approximately 1,000 miles. Can you use this information to calculate and display the number of hours in a day? 2) our planet's surface area in square miles. The surface area of a sphere is given by SA = 4TT² As with the circumference, my intention is for you to write a function that performs this operation. Call this function a second time to determine the sun's surface area. a) By comparison, the surface area of Japan is approximately 150,000 sq. mi. About how many "copies" of Japan would it take to cover our planet? Instructions for part 2 - finding a mean and standard deviation 1) Write a program that finds the mean (first function) and standard deviation (second function) of a list of 4 numbers. The mean (AKA: average) is defined in this case as: x1+x2+x3+x4 4 And the standard deviation (a quantity that determines how "spread out" a data set is) is defined as (x1−x)²+(x2−x)²+(x3−x)²+(x4−x)² 4 σ = x =
For
x1 = 1
example, with:
x2 = 2
x3 = 3
x4 = 4
The average is 2.5, and the standard deviation is 1.12.
If you would like a graphical example of the meaning of standard deviation, you can examine the following image:
Number of Students
50
40
20
10
Course Grade Histogram (Average: 47.5 42.5)
20
40
60
Grades (%)
80
100
Number of Students
61
You can check your standard deviation result with a website such as:
https://www.calculator.net/standard-deviation-calculator.html
Course Grade Histogram (Average: 71.0 10.4)
50
60
70
Grades (%)
80
90
100
Note that the highlighted values are standard deviations, and that the value on the left is about 4 times the value on the
right.
Transcribed Image Text:For x1 = 1 example, with: x2 = 2 x3 = 3 x4 = 4 The average is 2.5, and the standard deviation is 1.12. If you would like a graphical example of the meaning of standard deviation, you can examine the following image: Number of Students 50 40 20 10 Course Grade Histogram (Average: 47.5 42.5) 20 40 60 Grades (%) 80 100 Number of Students 61 You can check your standard deviation result with a website such as: https://www.calculator.net/standard-deviation-calculator.html Course Grade Histogram (Average: 71.0 10.4) 50 60 70 Grades (%) 80 90 100 Note that the highlighted values are standard deviations, and that the value on the left is about 4 times the value on the right.
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