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lyudmila [28]
3 years ago
10

How can you tell if a set of bivariate data shows a linear relationship?

Mathematics
1 answer:
stira [4]3 years ago
5 0
Make a scatterplot of the data. Once finished, look at the scatterplot to determine if the data taken holistically appears to be a close to the shape of a line.
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Let a = {1, 2, 3, 4, 5} b = {1, 3, 5} c = {4, 6}. find the cardinality of the given set. 33. n(a) 34. n(b) 35. n(a ⋃
bearhunter [10]

1) n(a) = 5


The cardinality of a set is the number of elements in that set. So, you simply need to count how many elements belong to the set, and the answer is 5


2) n(b) = 3


Simlarly, in this case you need to count how many elements belong to the set, the answer is 3


3) n(a ⋃ c) = 6


The union of two set is a set composed by all the elements belonging to either one of the sets, with no repetitions. So, since the first set contains all numbers from 1 to 5, the second set contains a 4, which however already belonged to the first set, but also a 6, which is added in the union. So, a ⋃ c = {1,2,3,4,5,6}, and thus n(a ⋃ c)=6.


4) n(a ⋂ c) = 1


The intersection of two sets is a set composed by the elements belonging to both sets. So, 1,2,3 and 5 don't belong to the intersection, because they belong to the first set alone, while 6 doesn't belong to the intersection because they don't belong to the first one. So, a ⋂ c = {4}, and thus n(a ⋃ c)=1.

4 0
3 years ago
Read 2 more answers
There are 500 sheet of paper in the pack Hannah bought. She has used 137 sheets already. How many sheets of paper does Hannah ha
Grace [21]
Just work out 500 takeaway 137
5 0
3 years ago
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can anybody help me with this problem 11/6 and 3 1/3 and i need to figure out if one is greater than or less than or equal to th
Anestetic [448]
11/6 is less than. 6 only goes into 11 once,, so it'd be 11/6
3 0
3 years ago
Karley is an architect building the city pool. The larger rectangle represents the entire pool area. The smaller rectangle repre
Ahat [919]

Answer:

Area of the walkway border is 736 ft²

Step-by-step explanation:

A rectangle is a quadrilateral (has four sides and four angles) with two pairs of opposite and parallel sides. All angles in a rectangle are 90 degrees each. Also, opposite sides are equal.

The entire pool area has a length of 60 feet and width of 40 feet. The area of the entire pool area is:

Area of entire pool = length * width = 60 feet * 40 feet = 2400 ft²

The area of entire pool

A walkaway border of 4 ft is made around the pool area. There is a decrease of 4 ft round the sides of the pool area.

Therefore length of pool = length of entire pool area - 4 feet border at left - 4 feet border at right  = 60 ft - 4 ft - 4 ft = 52 ft

width of pool = width of entire pool area - 4 feet border at top - 4 feet border at bottom  = 40 ft - 4 ft - 4 ft = 32 ft

Therefore the pool is 52 ft × 32 ft

Area of pool = length * width = 52 ft * 32 ft = 1664 ft²

Area of the walkway border = Entire pool area - Area of pool = 2400 ft² - 1664 ft² = 736 ft²

8 0
3 years ago
Is 8.27 rational or irrational?
BlackZzzverrR [31]

Answer:

Rational

Step-by-step explanation:

A terminating decimal is a rational number.

A repeating decimal is a irrational number.

Since 8.27 terminates, it is rational.

3 0
3 years ago
Read 2 more answers
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