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3 years ago

What are the possible numbers of positive, negative, and complex zeros of f(x) = x6 − x5 − x4 + 4x3 − 12x2 + 12?

2 answers:

3 0

Using <span>Descartes' rule of signs.
There are 4 changes of signs of coefficients:
+ to - (+x^6-x^5)
- to + (-x^4+4x^3)
+ to - (+4x^3-12x^2)
- to + (-12x^2+12)
Therefore, there are 4,2 or 0 positive roots </span><span><span>at most</span>. So it must be the third answer.
</span>

Akimi4 [234]3 years ago

3 0

Third option

Positive:4, 2, or 0; Negative: 2 or 0; Complex: 6, 4, 2, or 0

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a fair (6 sided) die is rolled TWO times. What is the probability that the first die is a 2 or the second die is a prime

alexdok [17]

Answer:

The probability that the first die is a 2 or the second die is a prime = 1/12

Step-by-step explanation:

It is given that,a fair (6 sided) die is rolled TWO times.

The sample space for rolling 2 dies

(1, 1), (1, 2) .......... (1,6)

(2,1) ..........................

(6, 1) ..........................(6, 6)

There are total of 6^2 = 36 sample space

<u>To find the probability</u>

The prime numbers from 1 to 6 are 2, 3 and 5

the possible outcomes are(2,1), (2, 3) and (2, 5)

The probability that the first die is a 2 or the second die is a prime = 3/36 = 1/12

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3 years ago

The problem of matching aircraft to passenger demand on each flight leg is called the flight assignment problem in the airline i

Darina [25.2K]

Answer:

Step-by-step explanation:

Given that the demand for the 6 p.m. flight from Toledo Express Airport to Chicago's O'Hare Airport on Cheapfare Airlines is normally distributed with a mean of 132 passengers and a standard deviation of 42

Let X be the no of passengers who report

X is N(132, 42)

Or Z is $\frac{x-132}{42}$

a) Suppose a Boeing 757 with a capacity of 183 passengers is assigned to this flight.

the probability that the demand will exceed the capacity of this airplane

= $P(X>183) = P(Z>1.21) =$

$=0.5-0.3869\\=0.1131$

b) the probability that the demand for this flight will be at least 80 passengers but no more than 200 passengers

= $P(80\leq x\leq 200)\\= P(-1.23\leq z\leq 1.62)\\$

=0.4474+0.3907

=0.8381

c) the probability that the demand for this flight will be less than 100 passengers

$=P(x$

d) If Cheapfare Airlines wants to limit the probability that this flight is overbooked to 3%, how much capacity should the airplane that is used for this flight have? passengers

= $P(Z>c)=0.03\\c=1.88\\X=132+1.88(42)\\=210.96$

e) 79th percentile of this distribution

= $132+0.81(42)\\= 166.02$

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3 years ago

Jonathan wants to save up enough money so that he can buy a new sports equipment set that includes football,baseball,soccer ball

JulsSmile [24]

Good luck to Jonathan. I hope he gets his sport set soon.

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3 years ago

You are searching online for techno music that is neither European nor Dutch. In set notation, which set of music files are you

yuradex [85]

<h2>Answer: </h2><h2>Techno ∩ (European ∩ Dutch)'</h2>

Step-by-step explanation:

According to sets theory ;

Intersection ( ∩ ) - e.g (European ∩ Dutch) represents both European and

Dutch , while (European ∩ Dutch)' represents neither

European nor Dutch .

Union ( ∪ ) - e.g (European ∪ Dutch) represents either European or Dutch .

So , Techno ∩ (European ∩ Dutch)' represents set notation of techno musics that is neither European nor Dutch .

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3 years ago

-5 = x divided by 2.4

snow_tiger [21]

Answer:

x=12

Step-by-step explanation:

-5= x/2.4

multiply both sides by 2.4 to isolate x

-5*2.4= (x/2.4)*2.4

12=x

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3 years ago