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rodikova [14]
3 years ago
7

Solve the system of inequalities to decide if the point (-3,2) is part of the solution; y<=-4x-3, +8y>=7

Mathematics
1 answer:
inna [77]3 years ago
6 0

Answer:

(x,y) = (-3,2) is a solution

Step-by-step explanation:

Given

y \le -4x + 3

x + 8y \ge 7

Required

Determine if (x,y) = (-3,2) is a solution

y \le -4x + 3 becomes

2 \le -4 * -3 + 3

2 \le 15 --- this is true

x + 8y \ge 7

-3+ 8 * 2 \ge 7

13 \ge 7 --- this is also true

Hence,

(x,y) = (-3,2) is a solution

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3 years ago
Find the indicated probability.
natka813 [3]

Answer:

C) 0.179

Step-by-step explanation:

Since the trials are independent, this is a binomial distribution:

<u>Recall:</u>

  • Binomial Distribution --> P(k)={n\choose k}p^kq^{n-k}
  • P(k) denotes the probability of k successes in n independent trials
  • p^k denotes the probability of success on each of k trials
  • q^{n-k} denotes the probability of failure on the remaining n-k trials
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<u>Given:</u>

  • n=10
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<u>Calculate:</u>

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