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a_sh-v [17]
4 years ago
6

I need help with this quick question!! Extra points and I’m marking brainlist to step by step explanation

Mathematics
1 answer:
IRINA_888 [86]4 years ago
4 0

Answer:

A, B and C

Step-by-step explanation:

To determine which ordered pairs are solutions, substitute the x and y coordinates into the system of equations and if the value equals the right side then the ordered pair is a solution

A (6 , 3 )

(3 × 6) - 3 = 18 - 3 = 15 ← correct, and

(6 × 6) - (2 × 3) = 36 - 6 = 30 ← correct

Hence (6, 3 ) is a solution

B (7, 6 )

(3 × 7) - 6 = 21 - 6 = 15 ← correct, and

(6 × 7) - (2 × 6) = 42 - 12 = 30 ← correct

Hence (7, 6 ) is a solution

C (8, 9 )

(3 × 8) - 9 = 24 - 9 = 15 ← correct, and

(6 × 8) - (2 × 9) = 48 - 18 = 30 ← correct

Hence (8, 9 ) is a solution


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To answer this problem, we use the binomial distribution formula for probability:

P (x) = [n! / (n-x)! x!] p^x q^(n-x)

Where,

n = the total number of test questions = 10

<span>x = the total number of test questions to pass =   >6</span>

p = probability of success = 0.5

q = probability of failure = 0.5

Given the formula, let us calculate for the probabilities that the student will get at least 6 correct questions by guessing.

P (6) = [10! / (4)! 6!] (0.5)^6 0.5^(4) = 0.205078

P (7) = [10! / (3)! 7!] (0.5)^7 0.5^(3) = 0.117188

P (8) = [10! / (2)! 8!] (0.5)^8 0.5^(2) = 0.043945

P (9) = [10! / (1)! 9!] (0.5)^9 0.5^(1) = 0.009766

P (10) = [10! / (0)! 10!] (0.5)^10 0.5^(0) = 0.000977

Total Probability = 0.376953 = 0.38 = 38%

<span>There is a 38% chance the student will pass.</span>

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A factory uses 1/6 of a barrel of raisins in each batch of granola bars. Yesterday, the factory used 1/2 of a barrel of raisins.
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