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The numbers 1, 3, 6, 10, 15 are called triangular numbers because they represent the number...
10. The following triangular arrays of dots led the early Greeks to call the numbers 1,...
10. The following triangular arrays of dots led the early Greeks to call the numbers 1, 3, 6, 10, 15, ... triangular num- bers just as 1,4,9,16,.. are called square numbers and can be associated with square arrays of dots. Since 1 = 1, 1+ 2 = 3, 1+ 2+ 3 = 6, 1 + 2 + 3 + 4 = 10, and so on, it is clear that the nth triangular number is given by the formula t(n)=1+2+ …+n="...
This is the sequence 1,3,6,10,15 the pattern is addin 1 more than last time but what is the name for this pattern These are called the triangular numbers The sequence is 1 3=1+2 6=1+2+3 10=1+2+3+4 15=1+2+3+4+5 You can also observe this pattern
This is the sequence 1,3,6,10,15 the pattern is addin 1 more than last time but what is the name for this patternThese are called the triangular numbers The sequence is 1 3=1+2 6=1+2+3 10=1+2+3+4 15=1+2+3+4+5 You can also observe this pattern x _________ x xx __________ x xx xxx __________ x xx xxx xxxx to see why they're called triangular numbers. I think the Pythagoreans (around 700 B.C.E.) were the ones who gave them this name. I do know the...
Function name: triangular Parameters: integer Returns: a list Description: Write a function called triangular that accepts...
Function name: triangular Parameters: integer Returns: a list Description: Write a function called triangular that accepts one integer parameter that returns a list with the same number of terms as the value of the parameter. If the parameter is zero or a negative number, you should return an empty list A triangular number is the sum of a positive integer and all the integers before it. The series is as follows: 1, 3, 6, 10, 15, 21,
Number of Numbers (10 pts) For this assignment you will be working with arrays. Open a...
Number of Numbers (10 pts) For this assignment you will be working with arrays. Open a new Java project called Nums Prompt a user to enter in the length of the array (the number of numbers). Enter the number of numbers: Use this information to declare an array of the user-specified length. Next, using a for loop, prompt the user to enter that many numbers, and store each one in your array until your array is at full capacity. Using...
55 The data to the right represent the number of customers waiting for a table at...
55 The data to the right represent the number of customers waiting for a table at 6:00 PM for 40 consecutive Saturdays at Bobak's Restaurant. Complete parts (a) through (h) below. 8 13 9 13 9 9 10 12 12 11 6 5 7 11 6 6 8 3 6 10 10 4 7 8 5 6 9 9 5 9 5 5 8 9 9 10 8 12 8 (a) Are these data discrete or continuous? Explain. O A....
FindGCF.py 1 #The Greatest Common Factor (GCF) of two numbers is the 2 #largest number that...
FindGCF.py 1 #The Greatest Common Factor (GCF) of two numbers is the 2 #largest number that divides evenly into those two 3 #numbers. For example, the Greatest Common Factor of 48 4 #and 18 is 6. 6 is the largest number that divides evenly 5 #into 48 (48 / 6 = 8) and 18 (18 / 6 = 3). 6 # 7 #Write a function called find gcf. find gcf should have 8 #two parameters, both integers. find_gcf should return...
Algorithm Humble Numbers Problem 4-1 (Humble Numbers) 10 points A number k > 1 is called...
Algorithm
Humble Numbers
Problem 4-1 (Humble Numbers) 10 points A number k > 1 is called humble if the only prime factors of k are 3 and 5. Consider the task of on input n, outputting the n smallest humble numbers and the following algorithm to do it: HuMBLE(n) count = 0. pret,Output = 0 HEAP.INSERT (3) HEAP.INSERT (5) while (count < n) cur - HEAP. EXTRACTMIN if cur prevOutput then output cur HEAP,INSERT(3*cur) HEAP.İNSERT(5*cur) count -count+1 preu,Output = cur...
32.) the data on the right represent the number of live multiple delivery births (3 or...
32.) the data on the right represent the number of live multiple
delivery births (3 or more babies) in a particular year for women
15 to 54 years old. use data to complete parts a through d
The data on the right represent the number of the multiple delivery birthe (three or more babies) na particular you for women 16 to 5 years old. Use the date to complete parts (4) through (4) below Number of Multiple Birth Age 15-19...
If the data below represent the number of years of study and the wage earned by a sample of 10 women, calculate:
Explain briefly what is meant by linear correlation between two variables.
Use a graph if necessary. (4)
(b) If the data below represent the number of years of study and the wage
earned by a sample of 10 women, calculate:
i. the covariance of the two variables; (2)
ii. the coefficients of variation of the two variables; and (2)
iii. the variances of the two variables. (2) [10]
Person Years of study Wage (R'000s)
1
2
3
4
5
6...
Write a program that reads in two hexadecimal numbers from a file, hex.dat, and prints out...
Write a program that reads in two hexadecimal numbers from a file, hex.dat, and prints out the sum of the two numbers in hexadecimal. (As noted in class, first do this without using a file and by reading using the cin > > command) From Wikipedia: "In mathematics and computer science, hexadecimal (also base 16, or hex) is a positional numeral system with a radix, or base, of 16. It uses sixteen distinct symbols, most often the symbols 0-9 to...
10. The following triangular arrays of dots led the early Greeks to call the numbers 1, 3, 6, 10, 15, ... triangular num- bers just as 1,4,9,16,.. are called square numbers and can be associated with square arrays of dots. Since 1 = 1, 1+ 2 = 3, 1+ 2+ 3 = 6, 1 + 2 + 3 + 4 = 10, and so on, it is clear that the nth triangular number is given by the formula t(n)=1+2+ …+n="...
Function name: triangular Parameters: integer Returns: a list Description: Write a function called triangular that accepts one integer parameter that returns a list with the same number of terms as the value of the parameter. If the parameter is zero or a negative number, you should return an empty list A triangular number is the sum of a positive integer and all the integers before it. The series is as follows: 1, 3, 6, 10, 15, 21,
55 The data to the right represent the number of customers waiting for a table at 6:00 PM for 40 consecutive Saturdays at Bobak's Restaurant. Complete parts (a) through (h) below. 8 13 9 13 9 9 10 12 12 11 6 5 7 11 6 6 8 3 6 10 10 4 7 8 5 6 9 9 5 9 5 5 8 9 9 10 8 12 8 (a) Are these data discrete or continuous? Explain. O A....
FindGCF.py 1 #The Greatest Common Factor (GCF) of two numbers is the 2 #largest number that divides evenly into those two 3 #numbers. For example, the Greatest Common Factor of 48 4 #and 18 is 6. 6 is the largest number that divides evenly 5 #into 48 (48 / 6 = 8) and 18 (18 / 6 = 3). 6 # 7 #Write a function called find gcf. find gcf should have 8 #two parameters, both integers. find_gcf should return...
Algorithm
Humble Numbers
Problem 4-1 (Humble Numbers) 10 points A number k > 1 is called humble if the only prime factors of k are 3 and 5. Consider the task of on input n, outputting the n smallest humble numbers and the following algorithm to do it: HuMBLE(n) count = 0. pret,Output = 0 HEAP.INSERT (3) HEAP.INSERT (5) while (count < n) cur - HEAP. EXTRACTMIN if cur prevOutput then output cur HEAP,INSERT(3*cur) HEAP.İNSERT(5*cur) count -count+1 preu,Output = cur...
32.) the data on the right represent the number of live multiple
delivery births (3 or more babies) in a particular year for women
15 to 54 years old. use data to complete parts a through d
The data on the right represent the number of the multiple delivery birthe (three or more babies) na particular you for women 16 to 5 years old. Use the date to complete parts (4) through (4) below Number of Multiple Birth Age 15-19...
Write a program that reads in two hexadecimal numbers from a file, hex.dat, and prints out the sum of the two numbers in hexadecimal. (As noted in class, first do this without using a file and by reading using the cin > > command) From Wikipedia: "In mathematics and computer science, hexadecimal (also base 16, or hex) is a positional numeral system with a radix, or base, of 16. It uses sixteen distinct symbols, most often the symbols 0-9 to...
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