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2 years ago

Find the power setof Cartesian product A×B, where A={1,2,3} and B={0,1,2}.

Mathematics

1 answer:

blondinia [14]2 years ago

5 0

Answer:

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

Solution

A= {1,2,3}

B={0,1,2}

A×B ={(1,0),(1,1),(1,2),(2,0),(2,1),(2,2),(3,0),(3,1),(3,2)}

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A positive integer from one to six is to be chosen by casting a die. Thus the elements c of the sample space C are 1, 2, 3, 4, 5

Alex_Xolod [135]

Answer with Step-by-step explanation:

We are given that six integers 1,2,3,4,5 and 6.

We are given that sample space

C={1,2,3,4,5,6}

Probability of each element= $\frac{1}{6}$

We have to find that $P(C_1),P(C_2),P(C_1\cap C_2) \;and\; P(C_1\cup C_2)$

Total number of elements=6

$C_1$ ={1,2,3,4}

Number of elements in $C_1$ =4

$P(E)=\frac{number\;of\;favorable \;cases}{Total;number \;of\;cases}$

Using the formula

$P(C_1)=\frac{4}{6}=\frac{2}{3}$

$C_2$ ={3,4,5,6}

Number of elements in $C_2$ =4

$P(C_2)=\frac{4}{6}=\frac{2}{3}$

$C_1\cap C_2$ ={3,4}

Number of elements in $(C_1\cap C_2)=2$

$P(C_1\cap C_2)=\frac{2}{6}=\frac{1}{3}$

$C_1\cup C_2=$ {1,2,3,4,5,6}

$P(C_1\cup C_2)=\frac{6}{6}=1$

4 0

3 years ago

Mhanifa can you please help? Look at the picture attached. I will mark brainliest!

Nikitich [7]

Answer:

Given rhombus ABCD with

m∠EAD = 67°, CE = 5, DE = 12

Properties of a rhombus:

All sides are congruent
Diagonals are perpendicular
Diagonals are angle bisectors
Diagonals bisect each other

Solution, considering the above properties

1. m∠AED = 90°, as angle between diagonals
2. m∠ADE = 90° - 67° = 23° as complementary of ∠EAD
3. m∠BAE = 67°, as ∠BAE ≅ ∠EAD
4. AE = CE = 5, as E is midpoint of AC
5. BE = DE = 12, as E is midpoint of BD

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3 years ago

I need help ASAP.........

aliina [53]

Answer:

it will take 20 minutes for her to weed all of her garden

Step-by-step explanation:

8 minutes=40% 16 minutes= 80% 20 minutes=100%

plz mark brainliest

7 0

3 years ago

Read 2 more answers

Please help

goldfiish [28.3K]

Answer:

270 coins

n + p

Step-by-step explanation:

Given that :

Number of nickels = 140

Number of pennies = 130

The total numbers coins had:

Number of Nickel + number of pennies

140 + 130 = 270 coins

If Number of nickels = n ; number of pennies = p

The total number of coins :

Number of Nickel + number of pennies

n + p

8 0

2 years ago

An engineering school reports that 52% of its students are male (M), 33% of its students are between the ages of 18 and 20 (A),

weeeeeb [17]

Answer:

42%

Step-by-step explanation:

Given: P(M) = 0.52, P(A) = 0.33, and P(M and A) = 0.27.

Find: P(not M and not A).

P(not M and not A) = 1 − P(M or A)

P(not M and not A) = 1 − (P(M) + P(A) − P(M and A))

P(not M and not A) = 1 − (0.52 + 0.33 − 0.27)

P(not M and not A) = 1 − 0.58

P(not M and not A) = 0.42

5 0

3 years ago