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Lynna [10]
3 years ago
6

Use the definitions for the sets given below to determine whether each statement is true or false:

Mathematics
1 answer:
ella [17]3 years ago
7 0

Answer:

(a) false

(b) true

(c) true

(d) true

(e) false

(f) true

(g) false

(h) true

(i) true

Step-by-step explanation:

(a) 15 ⊂ A, since 15 is not a set, but an element, we cannot say of an element to be subset of a set. False

(b) {15} ⊂ A The subset {15} is a subset of A, since every element of {15}, that is 15, belongs to A.

15 ∈ {15} and 15 ∈ { x ∈ Z: x is an integer multiple of 3 } 15 is  an integer multiple of 3. since 15/3=5. True

(c)∅ ⊂ A

∅ is a subset of any set. True

(d) A ⊆ A

A is a subset of itself. True

(e)∅ ∈ B

∅ is not an element, it is a subset, so it does not belong to any set. False

(f)A is an infinite set.

Yes, there are infinite integers multiple of 3. True

(g)B is a finite set.

No, there are infinite integers that are perfect squares. False

(h)|E| = 3

The number of elements that belong to E are 3. True

(i)|E| = |F|

The number of elements that belong to F are 3. So is the number of elements of E. True

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A certain manufacturing company has the following data on quantities shipped and unit costs for each of its four products.
AnnyKZ [126]

Answer:

Paasche's Index=  168.63= 169

Step-by-step explanation:

<em><u>Products</u></em>

<em><u>Base-Period                                                    Current Period</u></em>

    Quantities    Mean Shipping                    Quantities    Mean Shipping

     (Year 1)         Cost per Unit ($)                  (Year 5)  Cost per Unit ($)

A         1,500         10.50                         4000                 15.90

B         5,000      16.25                            3000                 33.00

C         6,500        12.20                          8000                  18.40

D          2,500      20.00                         3000                   35.50

Paasche's Index= ∑ pn.qn/∑po.qn* 100

Where pn is the price of the current year and qn is the quantity of the current year and po. is the price of the base year and qo. is the quantity of the base year.

Paasche's Index is the percentage ratio of the aggregate of given period prices weighted by the quantities sold or consumed in the given period to the aggregate of the base period prices weighted by the given period quantities.

Multiplying the current year prices with the current year quantities and the base year price with the current year quantities we get.

Product               pn.qn                      po.qn

A                         15.90* 4000         10.50* 4000

                          = 63600                    =42000

B                       33.00*3000           16.25 * 3000  

                           = 99000                    = 48750

C                      18.40* 8000          12.20 *8000

                            =147200                 =97600

D                     35.50* 3000        20.00*3000  

<u>                           =</u><u>106500              60,000   </u><u>       </u>

<u>∑                          416300                  248350       </u>

<u />

Paasche's Index= ∑ pn.qn/∑po.qn= <u> </u>416300/ 248350 *100  =  1.676=1.68= 168.63= 169

<u />

7 0
3 years ago
Which inequality has an arrow pointing to the left when the solution set is graphed on a number line?
Tanya [424]

Answer: a

Step-by-step explanation:

did the test

4 0
2 years ago
Which sentence represents the inequality -2b + 7 &gt; 27.5?<br> Help PLEASE!
AVprozaik [17]
-2b + 7 > 27.5
- 2b > 27.5 - 7
- 2b > 20.5
b < - 10.25

7 0
2 years ago
Read 2 more answers
What’s the slope of the line on the graph?
Anuta_ua [19.1K]
The slope would be 2x
7 0
3 years ago
Look at the pic to awnser the question plz
grandymaker [24]
Answer:

The correct answer is 6.8.


Explanation:

63.92 ÷ 92 ≈ 6.8


Hope this helps :)



4 0
2 years ago
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