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matrenka [14]
4 years ago
5

X^2-4x+1=0 . RESOLVE PLS

Mathematics
1 answer:
Mkey [24]4 years ago
4 0

x^2-4x+1=0\\ x^2-4x+4-3=0\\ (x-2)^2=3\\ x-2=\sqrt 3\vee x-2=-\sqrt3\\ x=2+\sqrt 3\vee x=2-\sqrt3

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1/3 one out of three
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What are the zeros of the quadratic function f(x) = 6x2 – 24x 1?
Valentin [98]

Answer:

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Step-by-step explanation:

im not sure but I think it's 1

6 0
3 years ago
A major hurricane is a hurricane with wind speeds of 111 miles per hour or greater. During the 20th century the mean number of t
Bas_tet [7]

Answer:

a) 0.3293 = 32.93% probability that the number of major hurricane to strike U.S mainland in any any give year is exactly one.

b) 0.878 = 87.8% probability that the number of major hurricane to strike U.S mainland in any any give year is at most one.

c) 0.122 = 12.2% probability that the number of major hurricane to strike U.S mainland in any any give year is more than one.

Step-by-step explanation:

We have the mean during an interval, which means that the Poisson distribution is used to solve this question.

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}

In which

x is the number of sucesses

e = 2.71828 is the Euler number

\mu is the mean in the given interval.

During the 20th century the mean number of the major hurricanes to strike U.S mainland per year was 0.6.

This means that \mu = 0.6

Find the probability that the number of major hurricane to strike U.S mainland in any any give year is:

a) Exactly one

This is P(X = 1). So

P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}

P(X = 1) = \frac{e^{-0.6}*0.6^{1}}{(1)!} = 0.3293

0.3293 = 32.93% probability that the number of major hurricane to strike U.S mainland in any any give year is exactly one.

b) At most one

This is:

P(X \leq 1) = P(X = 0) + P(X = 1)

Then

P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}

P(X = 0) = \frac{e^{-0.6}*0.6^{0}}{(0)!} = 0.5488

P(X = 1) = \frac{e^{-0.6}*0.6^{1}}{(1)!} = 0.3293

P(X \leq 1) = P(X = 0) + P(X = 1) = 0.5488 + 0.3292 = 0.878

0.878 = 87.8% probability that the number of major hurricane to strike U.S mainland in any any give year is at most one.

c) More than one

This is:

P(X > 1) = 1 - P(X \leq 1) = 1 - 0.878 = 0.122

0.122 = 12.2% probability that the number of major hurricane to strike U.S mainland in any any give year is more than one.

6 0
3 years ago
The ratio of left-handed students to total students in mathematics class is 12 to 30. What fraction of the class is left-handed?
IrinaK [193]

Answer:

2/5

Step-by-step explanation:

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3 years ago
Four students working in a group are trying to find a rational number between 1 2 and 7 8 . Which student has a correct answer a
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I would think that it is B. because it makes the most sense to me. it also could be B. for one other reason and that is converting helps to understand how to salve it on pencil and paper if you know how to convert on paper
so my answer would be B.
7 0
3 years ago
Read 2 more answers
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