A scatter plot with a trend line that has a slope of 1/3 shows a positive correlation between the data. Positive correlation indicates that as one set of data increases, the other will also increase. A trend line shows a rough estimate on the relationship between two sets of data. A line with a slope of 1/3 is increasing, so this indicates that the data in the scatter plot are positively correlated.
Problem 33
For each number, generate a factor tree. This is where you break a number down into smaller factors in a visual "tree" like style. The idea is to factor down to the prime factors and then you circle the common primes between each number. The values you circle are then multiplied if you circle more than one value in each tree.
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Problem 34
Xiao factored correctly but didn't pull out the GCF. So he didn't factor fully. In the case of 60 and 90, the GCF is 30. This is the largest shared factor between the two values. So we can pull out 30 to get
60+90 = 30*2+30*3 = 30*(2+3)
I'm basically using the distributive property in reverse. You can distribute the 30 back in and get 60+90 again. Notice how the inner stuff 2 and 3 have no factors in common other than 1.
The scale factor is 3 as the lengths in the bigger triangle when divided by 3 gives the lengths in the smaller triangle
Answer:
105³
Step-by-step explanation:
3x5=15
15x7=105
105 is your answer.
