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Len [333]
3 years ago
13

4n-6m=-2;n=-2,-1,0 Solve for m​

Mathematics
1 answer:
gregori [183]3 years ago
4 0

4n - 6m = -2

Let n = -2

4(-2) - 6m = -2

-8 - 6m = -2

-6m = -2 +8

-6m = 6

m = 6/-6

m = -1

So, when n is -2, m is -1.

Now, do the same when n is -1 and again when n is 0.

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<h3>The probability of  student passing the quiz with  at least 50% of the questions correct is 0.05457.</h3>

Step-by-step explanation:

Here, the total number of T/F question = 10

The minimum answers needed correctly answered = 8

So, student needs to answer at least 8 questions correctly.

Here, the possibility of answering a question correctly  = (\frac{1}{2})   = p = 0.5

Also, the possibility of answering a question wrong  = (\frac{1}{2})  = q = 0.5

Now, to pass he needs to answer 8 or more (  8 , 9 or 10) answers correctly.

P(answering 8 correct answer)  = ^{10}C_8(p)^8(q)^2 = ^{10}C_8(0.5)^8(0.5)^2  = 0.0439

P(answering 9 correct answer)  =  ^{10}C_9(p)^9(q)^1 = ^{10}C_9(0.5)^9(0.5)^1  = 0.0097

P(answering 10 correct answer)  = ^{10}C_{10}(p)^{10}(q)^0 = ^{10}C_{10}(0.5)^{10}(0.5)^0  = 0.00097

So, the total Probability   = P(8) + P(9) + P(10)

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= 0.05457

Hence, the probability that the student passes the quiz  with  at least 8 of the questions correct is 0.05457.

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