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dangina [55]
3 years ago
5

Please help

Mathematics
1 answer:
Soloha48 [4]3 years ago
7 0

9514 1404 393

Answer:

  B. infinite set of points on the line

Step-by-step explanation:

The lines are identical, so the set of points they have in common is an ...

  infinite set of points on the line

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Given f(x) = x2 + 7x and g(x) = x4, choose<br> the expression for (fºg)(x).
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Answer:

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Step-by-step explanation:

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3 years ago
A test consists of 10 true or false questions. To pass the test a student must answer at least eight questions correctly. If the
Andrei [34K]
<h2>The probability of any student passing the given test is 0.0538.</h2>

Step-by-step explanation:

Here, the total number of questions in the test   = 10

The minimum correct answers needed to pass the test  = 8 or more

⇒  n ≥ 8

Now, since there are only 2 options for each question:

So, the probability of answering it right   =  (\frac{1}{2} ) =  0.5 = p

And the probability of answering it wrong    =  (\frac{1}{2} ) =  0.5 = q

Now, let us use the <u>Binomial Distribution Formula</u> here:

P(x)  = ^nC_x p^xq^{(n-x)}

Now, solving for x = 8 , 9 and 10

When x  = 8 , P(8) is given as :

P(8)  = ^{10}C_8 (0.5)^8(0.5)^{(10-8)} = 45\times (0.5)^8(0.5)^2 = 0.0439

When x  = 9 , P(9) is given as :

P(9)  = ^{10}C_9 (0.5)^9(0.5)^{(10-9)} = 10\times (0.5)^9(0.5)^1 = 0.009

When x  = 10 , P(10) is given as :

P(10)  = ^{10}C_{10} (0.5)^10(0.5)^{(10-10)} = 10\times (0.5)^{10}(0.5)^0 = 0.0009

Now, adding the 3 probabilities, we get:

(P  ≥ 8) =  P(8) + P(9) + P(10) =  0.0439 + 0.009 + 0.0009 = 0.0538

or, (P  ≥ 8) =  0.0538

Hence,  the probability that the student will pass the test is 0.0538.

7 0
3 years ago
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