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Fudgin [204]
3 years ago
7

CloudPort

Mathematics
1 answer:
Ksenya-84 [330]3 years ago
3 0

Answer:

(1) P(Heart\ and\ Club) = 0.0494

(2) S = \{B,B,B,B,R,R,R,R,R,Y,Y,Y,Y,Y,Y,Y,Y\}

Step-by-step explanation:

Question 1:

Given

Hearts = 8

Diamond = 3

Club=2

Spade = 5

Total = 18

Required

Probability of 1 heart and 1 club

This probability is calculated as:

P(Heart\ and\ Club) = P(Heart) * P(Club)

P(Heart\ and\ Club) = \frac{n(Heart)}{Total} * \frac{n(Club)}{Total}

P(Heart\ and\ Club) = \frac{8}{18} * \frac{2}{18}

P(Heart\ and\ Club) = \frac{8*2}{18*18}

P(Heart\ and\ Club) = \frac{16}{324}

P(Heart\ and\ Club) = 0.0494 -- approximated

Question 2:

Given

Blue = 4

Red= 5

Yellow = 8

Required

Determine the sample space

Represent the blue balls with B, the red with R and the yellow with Y.

The sample space (S) is:

S = \{B,B,B,B,R,R,R,R,R,Y,Y,Y,Y,Y,Y,Y,Y\}

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mojhsa [17]

Answer:

The Two Column Proof is given below.

Step-by-step explanation:

Given:

\overline{MP} \cong \overline{MN}

\overline{PO} \cong \overline{NO}

To Prove:

∠ P ≅ ∠ N

Proof:

In  Δ MPO  and Δ MNO

STATEMENT                                              REASONS  

1. MP ≅ MN                                   1. Given

2. PO ≅ NO                                  2. Given

3. MO ≅ MO                                 3. Reflexive property

4. ΔMPO ≅ ΔMNO                       4. Side-Side-Side congruence test}

5. ∠MPO ≅∠MNO                        5. Corresponding parts of congruent Triangles

i.e ∠ P ≅ ∠ N                                 ..................Proved

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Found this. Hope it helps.

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