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schepotkina [342]
3 years ago
14

(Evaluating Expressions) If x = 1, y = 3, and z = 2, what is the value of the expression 4xy + 3xz + 7y? *

Mathematics
1 answer:
pshichka [43]3 years ago
8 0

Answer:

39

Step-by-step explanation:

4 x 1 x 3 + 3 x 1 x 2 + 7 x 3

4 x 3 + 3 x 1 x 2 + 7 x 3

12 + 3 x 1 x 2 + 7 x 3

12 + 3 x 2 + 7 x 3

12 + 6 + 7 x 3

12 + 6 + 21

39

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What fraction is equivalent to 3/10 and has a denominator of 100
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30/100

Step-by-step explanation:

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Archie is stranded in a war zone in the land of the Xhosas. His only chance of survival is to reach Sudland, which lies 100 mile
LenaWriter [7]

Answer:

The  chances of success for Archie is P(S|D) =  35\%

Step-by-step explanation:

From the question we are told that

 The distance of Sudland from Xhosas is   d =  100 miles

  The probability  of failure is  P(F) = 0.26

  The probability of choosing the desert route is   P(D) = \frac{1}{40} =  0.025

The probability of reaching Sudland through the mountain is  P(S|M) =0.75

Generally the probability of choosing the  mountains route is

         P(M) = 1 - P(D)

           P(M) = 1 - 0.025

             P(M) = 0.975

Generally the probability of success is mathematically represented as

       P(S) =  1- P(F)

         P(S) =  1- 0.26

          P(S) =  0.74

       

Generally the probability of success in reaching Sudland is also mathematically represented as

     P(S) =  P(S|M) * P(M) + P(S|D) * P(D)

=>   P(S|D) =  \frac{P(S) - P(S|M) * P(M)}{P(D)}

substituting values

=>  P(S|D) =  \frac{0.74 - 0.75 * 0.975}{0.025}  

=>  P(S|D) = 0.35  

=>  P(S|D) =  35\%

8 0
3 years ago
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