9514 1404 393
Answer:
see below
Step-by-step explanation:
It is convenient to sort the data. This aids counting the number of data points in each bin, and in figuring how to define the bins.
Here, there are 20 data values that range from 15 to 64, a rangel of 49. The chart in the problem statement suggests that 5 bins is a suitable number, so bins of width 10 would cover the range.
The bin boundary should always be defined so that no data point falls on the boundary. Here, we can define bins of width 10 that have boundaries that satisfy ...
x = 10n +14.5 . . . . n = 0 to 5
Then your chart is filled as follows:
interval, values, #
14.5–24.5, {15, 19, 20}, 3
24.5–34.5, {27, 30, 32, 32, 33}, 5
34.5–44.5, {38, 39, 40, 44}, 4
44.5–54.5, {45, 45, 48, 53, 54}, 5
54.5–64.5, {60, 62, 64}
Answer:
1. gcd(77,30)=1
Since 1 is the last non zero remainder appearing in these equations then, 1 is the gcd of 77 and 30.
2. u=-11, v=18
Using the Euclidean Algorithm we have that
Now, we express the remainder as linear combinations of 49 and 30.
Then
3. x=18
If then
for some
.
Then, if k=7,
Answer:
It will take weeks to recycle a total of 45 kg of paper
Step-by-step explanation:
W represents the number of weeks the office has been on the new recycling plan
P represents the total kilograms of paper recycled.
It took weeks to recycle P kilograms of paper = W
It took weeks to recycle 1 kilogram of paper =
It took weeks to recycle 45 kilograms of paper =
Hence It will take weeks to recycle a total of 45 kg of paper
