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Delvig [45]
3 years ago
15

Given: △KPS m∠P=105°, m∠S=30° PS=12 Find: PK.

Mathematics
1 answer:
Jobisdone [24]3 years ago
7 0

Answer:

 PK=8.49m

Explanation:

We have sine formula

     \frac{a}{sinA} =\frac{b}{sinB} =\frac{c}{sinC}

By sine formula we have

    \frac{PS}{sinK} =\frac{PK}{sinS} =\frac{KS}{sinP}

    We have PS = 12, ∠P=105° and ∠S=30°, so ∠K=180°-(105°+30°)=45°

 Substituting

        \frac{12}{sin45} =\frac{PK}{sin30} \\ \\ PK=8.49m      

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Answer:

a) The probability tree is constructed below

b) the probability that at least two women will be selected is 0.500

Step-by-step explanation:

Given the data in the question;

a) The probability tree is as follows;

                                                 3 men, 3 women

                                                            ↓

           _______________________|________________________

            ↓                             ↓                                  ↓                               ↓

         3 men                    2 men                          1 man                        0 men

      0 women                1 woman                     2 woman                   3 women

b) the probability that at least two women will be selected

p( at least two women would be selected) = P( there are 2 women out of 3 ) + P( there 3 women out of 3

so

p( at least two women would be selected) = C

³C₂ × ³C₁ / ⁶C₃ + ³C₃³C₀ / ⁶C₃  

= 3!/(2!(3-2)!) × 3!/(1!(3-1)!)  / 6!/(3!(6-3)!) + 3!/(3!(3-3)!) × 3!/(0!(3-0)!) / 6!/3!(6-3)!)

= 3 × 3 / 20 + 1 ×  1 / 20

= 9/20 + 1/20

= 0.45 + 0.05

p( at least two women would be selected) = 0.500

Therefore, the probability that at least two women will be selected is 0.500

6 0
3 years ago
Which of the following reasons can be used to justify statement #4 in the proof?
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Answer:

D.

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3 0
3 years ago
Is my answer correct? if not please correct me
elena-s [515]

Using the given equation y-3 = 3/4(x+2)


Give Y a value and then solve for x:


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0 -3 = 3/4(x+2)

Solve for x:

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x = -6


So the first point would be (-6,0)


Now make x 0 and solve for y:

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So the 2nd point would be (0,4.5)


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8 0
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Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

6 0
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