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2 years ago

Factor this please: x^4-9x^2+20

Mathematics

2 answers:

Novosadov [1.4K]2 years ago

7 0

Your answer is (x+2)(x-2)(x^2-5)

vfiekz [6]2 years ago

4 0

x = ± √5 = ± 2.2361 x = 2 x = -2

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IrinaK [193]

Answer:

1 mile is 1.6 km

Step-by-step explanation:

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2 years ago

Among the cast aluminum parts manufactured on a certain day, 90% were flawless, 8% had only a minor flaw, and 2% had major flaws

Andreyy89

Answer:

10% probability that the part has at least one flaw

Step-by-step explanation:

We have these following probabilities:

90% probability of the part being flawless.

8% probability of the part having a minor flaw

2% probability of the part having major flaws.

What is the probability that the part has at least one flaw

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2 years ago

Changes in airport procedures require considerable planning. Arrival rates of aircrft are important factors that muct be taken i

Irina18 [472]

Answer:

a) 0.1558

b) 0.7983

c) 0.1478

Step-by-step explanation:

If we suppose that small aircraft arrive at the airport according to a Poisson process at the rate of 5.5 per hour and if X is the random variable that measures the number of arrivals in one hour, then the probability of k arrivals in one hour is given by:

$\bf P(X=k)=\displaystyle\frac{(5.5)^ke^{-5.5}}{k!}$

(a) What is the probability that exactly 4 small aircraft arrive during a 1-hour period?

$\bf P(X=4)=\displaystyle\frac{(5.5)^4e^{-5.5}}{4!}=0.1558$

(b) What is the probability that at least 4 arrive during a 1-hour period?

$\bf P(X\geq4)=1-P(X$

(c) If we define a working day as 12 hours, what is the probability that at least 75 small aircraft arrive during a working day?

If we redefine the time interval as 12 hours instead of one hour, then the rate changes from 5.5 per hour to 12*5.5 = 66 per working day, and the pdf is now

$\bf P(X=k)=\displaystyle\frac{(66)^ke^{-66}}{k!}$

and we want P(X ≥ 75) = 1-P(X<75). But

$\bf P(X$

hence

P(X ≥ 75) = 1-0.852 = 0.1478

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3 years ago

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Pepsi [2]

The answer is 4100 hope it helped

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2 years ago

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Art [367]

Answer:

Thermodynamics is a branch of physics that deals with heat, work, and temperature, and their relation to energy, entropy, and the physical properties of matter and radiation.

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2 years ago