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12345 [234]
3 years ago
10

The factored form of polynomial P(x) shows only two of its roots. Assuming all of the

Mathematics
1 answer:
galben [10]3 years ago
3 0

Answer:

C and E

Step-by-step explanation:

Recall that according to the complex conjugate theorem, if P(x) is a polynomial function with real coefficients, and a+bi is an imaginary root of P(x), then its conjugate (i.e a-bi) must also be a root.

Here we see that 2 of the given roots are imaginary : i and 2+i

by the theorem given above, the conjugates of these must also be roots

i.e -i and 2-i

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Find the probability of each event.
jeka57 [31]

Using the binomial distribution, it is found that there is a 0.0108 = 1.08% probability of the coin landing tails up at least nine times.

<h3>What is the binomial distribution formula?</h3>

The formula is:

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

C_{n,x} = \frac{n!}{x!(n-x)!}

The parameters are:

  • x is the number of successes.
  • n is the number of trials.
  • p is the probability of a success on a single trial.

In this problem:

  • The coin is fair, hence p = 0.5.
  • The coin is tossed 10 times, hence n = 10.

The probability that is lands tails up at least nine times is given by:

P(X \geq 9) = P(X = 9) + P(X = 10)

In which:

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 9) = C_{10,9}.(0.5)^{9}.(0.5)^{1} = 0.0098

P(X = 10) = C_{10,10}.(0.5)^{10}.(0.5)^{0} = 0.001

Hence:

P(X \geq 9) = P(X = 9) + P(X = 10) = 0.0098 + 0.001 = 0.0108

0.0108 = 1.08% probability of the coin landing tails up at least nine times.

More can be learned about the binomial distribution at brainly.com/question/24863377

#SPJ1

5 0
2 years ago
Select the correct difference.<br> <br> -3z 5 - (-7z 5)<br> <br> -10z5<br> -4z5<br> 4z5<br> 4z
Alinara [238K]
<span>-10z5 is the answer. </span>
3 0
4 years ago
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PLZ HELP
Setler [38]
£1.00= 100 cents, 100- 64 = 36.

36
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3 years ago
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Jose has saved $75 to take tutoring classes. He must pay a registration fee of $15 and then an additional $6 for each class.
bonufazy [111]

Answer:

15+6x=75

Step-by-step explanation:

15 is the starting fee and it is 6$ per class so it would be 6x+15=75

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3 years ago
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Assured normally costs £42 if you receive a 15% discount how much change will you get from £50
vesna_86 [32]
5% of £42 = £2.10
10% of £42 = £4.20
15% of £42 = £6.30

£42 - £6.30 = £35.70

£50 - £35.70 = £14.30

the answer is £14.30

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3 years ago
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