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9966 [12]
3 years ago
13

I really need some help with this question (Image attached)

Mathematics
1 answer:
ella [17]3 years ago
6 0

Answer:

KL = 23

KM = 29

Step-by-step explanation:

By applying cosine rule in the given triangle KLM,

cos(∠M) = \frac{\text{Adjacent side}}{\text{Hypotenuse}}

cos(52°) = \frac{LM}{KM}

cos(52°) = \frac{18}{KM}

KM = \frac{18}{\text{cos}52}

KM = 29.24

KM ≈ 29

By applying sine rule,

sin(52°) = \frac{\text{Opposite side}}{\text{Hypotenuse}}

sin(52°) = \frac{KL}{29.24}

KL = 29.24[sin(52°)]

    = 23.03

    ≈ 23

KL = 23

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An unfair coin with​ Pr[H] = 0.2 is flipped. If the flip results in a​ head, a marble is selected at random from a urn containin
satela [25.4K]
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H - head 
T - tails
R - red marble
pr (H) = 0.2
urn
6 red and 4 blue
pr (T)   = 0.8
urn
3 red and 5 blue

when heads is obtained 
red - 6/10 -0.6
blue - 4/10 - 0.4
therefore when multiplying with 0.2 probability of getting heads
pr (R ∩ H) red - 0.6*0.2 = 0.12

when tails is obtained 
red - 3/8 - 0.375
blue - 5/8 - 0.625
when multiplying with 0.8 probability of getting tails
pr (R ∩ T) red - 0.375 * 0.8 = 0.3

using bayes rule the answer can be found out, 
the following equation is used;
pr (H | R) = pr (R ∩ H) / {pr (R ∩ H) + pr (R ∩ T)}
               = 0.12 / (0.12 + 0.3)
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the final answer is 0.286
6 0
3 years ago
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