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svetlana [45]
3 years ago
15

In a sample of 100 students, 30 wear size medium t-shirts. Use a proportion to calculate approximately how many medium t-shirts

should be ordered for a student population of 940 students. *
Mathematics
1 answer:
Talja [164]3 years ago
7 0

Answer:

282 students

Step-by-step explanation:

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Which of these relations on the set {0, 1, 2, 3} are equivalence relations? If not, please give reasons why. (In other words, if
Delicious77 [7]

Answer:

(1)Equivalence Relation

(2)Not Transitive, (0,3) is missing

(3)Equivalence Relation

(4)Not symmetric and Not Transitive, (2,1) is not in the set

Step-by-step explanation:

A set is said to be an equivalence relation if it satisfies the following conditions:

  • Reflexivity: If \forall x \in A, x \rightarrow x
  • Symmetry: \forall x,y \in A, $if x \rightarrow y,$ then y \rightarrow x
  • Transitivity: \forall x,y,z \in A, $if x \rightarrow y,$ and y \rightarrow z, $ then x \rightarrow z

(1) {(0,0), (1,1), (2,2), (3,3)}

(3) {(0,0), (1,1), (1,2), (2,1), (2,2), (3,3)}

The relations in 1 and 3 are Reflexive, Symmetric and Transitive. Therefore (1) and (3) are equivalence relation.

(2) {(0,0), (0,2), (2,0), (2,2), (2,3), (3,2), (3,3)}

In (2), (0,2) and (2,3) are in the set but (0,3) is not in the set.

Therefore, It is not transitive.

As a result, the set (2) is not an equivalence relation.

(4) {(0,0), (0,1), (0,2), (1,0), (1,1), (1,2), (2,0), (2,2), (3,3)}

(1,2) is in the set but (2,1) is not in the set, therefore it is not symmetric

Also, (2,0) and (0,1) is in the set, but (2,1) is not, rendering the condition for transitivity invalid.

5 0
3 years ago
Sams dog weighs 72 pounds. the vet suggest that for the dogs health, its weight should decrease by 12.5 percent . According to t
Sophie [7]
The healthy weight for the dog is around 64 lbs
3 0
3 years ago
What is 36,100 dived by 36,789
Stolb23 [73]
36100/36789=0.9812715757427492
3 0
3 years ago
Read 2 more answers
Answer the questions about the dot and box plot.
ivanzaharov [21]

Answer:

a. 104

b. 102, 104, and 105

Step-by-step explanation:

a. There are 13 data points plotted on the dot line. The median lies between the 6th and 7th data point.

Thus, on the dot line, the 6th and 7th data points both fall on 104.

Therefore, median = 104

b. The dot plot shows the high temperatures that occurred more than one day are:

102, 104, and 105

5 0
3 years ago
What is the GFC of 28 and 72
Ivan

the greatest common factor of these numbers is 2

3 0
3 years ago
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