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vekshin1
3 years ago
10

Please help! I’m confused (both questions, 24 & 25)

Mathematics
1 answer:
Bond [772]3 years ago
3 0

Answer:

Step-by-step explanation:

24.

∠Y=30°

w+30+30=180

w=180-60=120°

25.

2x-5=y+3=8

2x-5=8

2x=8+5=13

x=13/2=6.5

y+3=8

y=8-3=5

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Answer:

The probability is  P(K)  =   \frac{ 28 }{195}

Step-by-step explanation:

From the question we are told that

   The number of green marbles is  n_g  =  3

    The number of red marbles is  n_b  =  5

     The number of red marbles is  n_r  =  7

Generally the total number of marbles is mathematically represented as

       n_t  =  n_r  +  n_g + n_ b

        n_t  =  7 +  3 + 5

         n_t  = 5

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     n_k  =  n_g +  n_ b

=>  n_k  =   3 +   5

=>  n_k  =  8

The probability of the first ball not being red is mathematically represented as  

      P(r') =  \frac{n_k}{n_t}

=>  P(r') =  \frac{ 8}{15}

The probability of the second ball not being red is mathematically represented as

      P(r'') =  \frac{n_k - 1}{n_t -1}

=>  P(r'') =  \frac{ 8 -1 }{15-1} (the subtraction is because the marbles where selected without replacement  )

=>  P(r'') =  \frac{ 7 }{14}

The probability that the first two balls  is  not red is mathematically represented as

    P(R) =  P(r') *  P(r'')

=>  P(R) =  \frac{ 8}{15} *   \frac{ 7 }{14}

=>  P(R) =  \frac{ 8 }{30}

The probability of the third ball being red is mathematically represented as

   P(r) =  \frac{n_r}{ n_t -2} (the subtraction is because the marbles where selected without replacement  )

     P(r) =  \frac{7}{ 15 -2}

=>    P(r) =  \frac{7}{ 13}

Generally the probability of the first two marble not being red and the third marble being red is mathematically represented as

        P(K)  =  P(R) * P(r)

         P(K)  =   \frac{ 8 }{30} * \frac{7}{ 13}

=>      P(K)  =   \frac{ 28 }{195}

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Answer:

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Step-by-step explanation:

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