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AveGali [126]
2 years ago
13

1. Let U the set of students of the university of Cambridge. Let the subsets of U:

Mathematics
1 answer:
Marysya12 [62]2 years ago
6 0

Answer:

A) A ∩ C means in both sets, in this case A and C, and in this question all students both over 20 years and with social stratum of 1, 2 and 3.

B) A ∪ B means in either set or both, both will do, in this case meaning all students in A or B or any in between, and in this question all students over 20 years and/or are women.

C) As is already explained above, B  ∪ C means in this question all students that are women and/or have social stratum of 1, 2, and 3.

D) This is the same as A). Refer to A).

E) A ∪ C is already explained above, and in this question means all students over 20 years and/or have social stratum of 1, 2, and 3.

F) Same as E). Refer to E).

G) Same as A). Refer to A).

H) A ∩ B ∩ C means in students in all three sets simultaneously, and in this question all students that are over 20 years, women, and with social stratum of 1, 2 and 3.

I) A - B, in set theory would mean all students in A but not in B, in other words the difference. In this question, it would mean all students over 20 years that are not women.

J) (A - B) ∩ C would mean, as already explained above, all students over 20 years that are not women and with social stratum of 1, 2 and 3. Usually, it's easier to treat all unions or intersections or whatnot inside brackets as one whole thing, kind of like how you do algebra.

K) B 4 C is nonsensical, there is nothing in set theory like this.

L) Same as K).

The given description between C) and D) would be that they are the same, and comparing F) and G), it seems that the question is trying to make the point that they are almost the same but defined differently.

Step-by-step explanation:

Hope this helped!

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Pepsi [2]

Step-by-step explanation:

first of all, your teacher wrote nonsense in the answer options : an area is always given in squared units. never in cubed units (which would be volume).

the area is : 1/2 × perimeter × apothem

the perimeter is simply 12 × 5 = 60 meters.

apothem = (a/2)×cot(pi/12) = 5/2 × cot(pi/12) =

= 9.330127019... meters

so the area is

1/2 × 60 × 9.330127019... = 279.9038106... m²

therefore, the third answer option is correct (although it is m², and not m³).

by the way, you have question 3 wrong. I answered this with the correct apothem calculation in the explanation for question 4.

5 0
1 year ago
What does (Y) equal?<br><br> 2(5 + y) = 18
Bas_tet [7]

Answer:

y = 4

Step-by-step explanation:

distribute

10 + 2y = 18

minus 10 from both sides

2y = 8

divide by 2

y = 4

6 0
3 years ago
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IgorC [24]

Answer:

7,7, and 7

Step-by-step explanation:

If she vase is cubical we know that all 3 dimensions are the same. This means that x^3 = 343. So we know the answer is the cube root of 343, which is 7

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3 years ago
Which equation represents "the product of a number and 24 is 72"?
Nataly [62]

Answer:

Step-by-step explanation:

24 p=72

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Find the area of the circle with the given radius or diameter. Use pi = 3.14. d = 10 A =
labwork [276]

The formula in computing the area of the circle is:

A = pi (r)^2

Where r = the radius of the circle

Since you are only given the diameter of the circle, you have to solve for its radius. The radius of the circle is half its diameter. Therefore, the radius of the circle is 5 (10/2).

Now, you substitute the measurements to the formula:

A = 3.14 (5)^2

A = 3.14 (25)

A = 78.5 sq. units

5 0
2 years ago
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