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Lyrx [107]
2 years ago
13

Find the value of n(A) if n(B) = 38, n(ANB) = 17, and n(AUB) = 59. n(A)- (Type a whole number.) W More More T V

Mathematics
1 answer:
victus00 [196]2 years ago
5 0

Answer:

n(A)=38

Step-by-step explanation:

In sets theory n(A) represents the number of elements in set A.This number is the cardinal number of the set A.

For n(AUB) there is an equation that relates n(A),n(B) and n(A∩B) :

n(AUB) = n(A) + n(B) - n(A∩B)

In our exercise :

n(AUB) = n(A) + n(B) - n(A∩B)

59 = n(A) +38-17\\n(A) = 59-38+17\\\\n(A)= 38

Another important equation for maths is similar to this one :

P(AUB) = P(A) + P(B) - P(A∩B)

Where ''P'' is the event probability.This equation is used in probability and statistics.

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James has a total of 66 dollars in his piggy bank. He only has one dollar bills and two dollar bills in his piggy bank. If there
gavmur [86]

Answer:

32 one-dollar bills.

Step-by-step explanation:

Let <em>x </em>represent one-dollar bills and <em>y </em>represent two-dollar bills.

He has a total of 49 bills. Therefore:

x+y=49

The total amount of money James has is 66. <em>x</em> is worth one dollar, while <em>y</em> is worth two dollars. Therefore:

1x+2y=66\\x+2y=66

We have a system of equations. Solve by substitution:

x+2y=66\\x+y=49\\x=49-y\\(49-y)+2y=66\\y=17\\x=49-17=32

Therefore, James has 32 one-dollar bills and 17 two-dollar bills.

Checking:

32(1)+17(2)\stackrel{?}{=}66\\32(1)+17(2)\stackrel{\checkmark}{=}66\\\\32+17\stackrel{?}{=}49\\49\stackrel{\checkmark}{=}49

5 0
3 years ago
What is the GCF of 75 and 100?
Free_Kalibri [48]
Factors of 75 and 100
75=1,3,5,15,25
100=1,2,4,5,10,20,25
25 is your greatest common factor
8 0
3 years ago
Read 2 more answers
TIMED TEST PLEASE HELP
xxMikexx [17]
1 ) first offer
total payments
375.76×12×4
=18,036.48
Interest paid
18,036.48−16,000
=2,036.48
Second offer
Total payments
390.61×12×4
=18,749.28
Interest paid
18,749.28−16,000
=2,749.28
Larry will save of taking 6% loan
2,749.28−2,036.48=712.8. .answer

2) credit card 1
Total payments
277.09×12
=3,325.08
Interest paid
3,325.08−3,000
=325.08
Credit card 2
Total payments
152.69×12×2
=3,664.56
Interest paid
3,664.56−3,000
=664.56
Susan will save
664.56−325.08
=339.48...answer

Hope it helps!
6 0
3 years ago
Read 2 more answers
Please help with this math question :)
Nikitich [7]
I can't see the math
5 0
3 years ago
Can u guys PLEASE answer this question ASAP. Two wooden boxes, both with dimensions 80 cm, 1 m and 25 cm, are placed on the grou
Slav-nsk [51]

Answer:

34000cm or 340m

Step-by-step explanation:

We have to find total surface area.

dimensions of 1 wooden box =

l = 1m = 100cm

b = 80cm

h = 25cm

∴ In the case of 2 =

l = 100cm

b= 80cm

h  = 25 + 25 = 50cm

T.S.A = 2(lb + lh + bh)

= 2(100*80 + 100*50+ 80*50)

= 2(8000+5000+4000)

= 2*17000

= 34000cm

= 340m

3 0
3 years ago
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