Answer:
a. 14 and 14= (-1)56+1(44)
b. 3 and 3= (-4)60+3(81)
Step-by-step explanation:
Case 1: GCD is the highest common divisor for both numbers without reminder
a. GCD of 56 and 42 = 14
b GCD of 81 and 60 = 3
Case 2: Express GCD as a Linear combination.
a. GCD = 14 which is also the difference between 56 and 42
Therefore
14= (-1)56+1(44) expresses 14 as a linear combination of 56 and 44.
b. GCD=3, we need to look for a multiple of 60 and 81 that their differences would be 3
Therefore the multiples are:
For 60 = 240 (60×4)
For 81 = 243 (81×3)
3= (-4)60+3(81) expresses 3 as a linear combination of 81 and 60
The answer is the mean, mode, and median increases by 4, the range of times is the same.
Week 1: Week 2:
Student - Hours Student - Hours<span>
Bob 19 </span>Bob 23<span>
James 10 </span>James 14<span>
Karen 15 </span>Karen 19<span>
Rosario 17 </span>Rosario 21<span>
Antoine 10 </span>Antoine 14<span>
Julio 16 </span>Julio 20<span>
Maria 13 </span>Maria 17<span>
The mean is the sum of all values divided by the number of values:
Week 1: (19 + 10 + 15 + 17 + 10 + 16 + 13)/7 = 100/7 = 14.28
Week 2: (23 + 14 + 19 + 21 + 14 + 20 + 17)/7 = 128/7 = 18.28
The difference in means between Week 2 and Week 1 is 4 (18.28 - 14.28 = 4)
The median is the middle value. To calculate, first rearrange values from the lowest to the highest and then find the middle value:
Week 1: 10, 10, 13, 15, 16, 17, 19 - The median is 15.
Week 2: 14, 14, 17, 19, 20, 21, 23 - The median is 19.
The difference in medians between Week 2 and Week 1 is 4 (19 - 15 = 4)
The mode is the value that occurs most frequently.
</span>Week 1: 10, 10, 13, 15, 16, 17, 19 - The mode is 10.
Week 2: 14, 14, 17, 19, 20, 21, 23 - The mode is 14.
The difference in modes between Week 2 and Week 1 is 4 (14 - 10 = 4)
The range of times is the difference between the highest and the lowest value.
Week 1: 10, 10, 13, 15, 16, 17, 19 - The range of times is 9 (19 - 10 = 9).
Week 2: 14, 14, 17, 19, 20, 21, 23 - The median is 9 (23 - 14 = 9).
The difference in the ranges of times between Week 2 and Week 1 is 0 (9 - 9 = 0)
Answer:
D&B
Step-by-step explanation:
turn 6 to a fraction which is 6/1
So you keep the first fraction the same
change the division sign to a multiplication sign
change 3/4 to 4/3
so 6/1x4/3
multiply straight across the top and bottom
you get 24/3
simplified is 1/8lbs
