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3 years ago

Which is the completely factored form of 12x3 – 60x2 + 4x – 20?

Mathematics

2 answers:

Andre45 [30]3 years ago

7 0

Completely factored it is (12x^2 + 4)(x-5)

Pachacha [2.7K]3 years ago

7 0

= 4(3x^3 - 15x^2 + x - 5)

product of first coefficient and -5 is -15 so one factor could be x +/ 3) or x +/- 5)

using the factor theorem f(5) = 375 - 375=5-5 = 0 so (x - 5) is a factor:-

so we have 4(x - 5)(3x^2 + 1) Answer

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When studying radioactive material, a nuclear engineer found that over 365 days,

Gnom [1K]

Answer:

a) The mean number of radioactive atoms that decay per day is 81.485.

b) 0% probability that on a given day, 50 radioactive atoms decayed.

Step-by-step explanation:

Poisson distribution:

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

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

In which

x is the number of sucesses

e = 2.71828 is the Euler number

$\lambda$ is the mean in the given interval.

a. Find the mean number of radioactive atoms that decayed in a day.

29,742 atoms decayed during 365 days, which means that:

$\lambda = \frac{29742}{365} = 81.485$

The mean number of radioactive atoms that decay per day is 81.485.

b. Find the probability that on a given day, 50 radioactive atoms decayed.

This is P(X = 50). So

$P(X = 50) = \frac{e^{-81.485}*(81.485)^{50}}{(50)!} = 0$

0% probability that on a given day, 50 radioactive atoms decayed.

5 0

3 years ago

A bag contains 70 pencils out of which 15 are green and 30 blue.(i)How many pencils of other colours. are in the bag?(ii)A penci

Bas_tet [7]

Answer:

i) 25

ii) 30:70; 30 out of 70 pencils will be blue.

Step-by-step explanation:

i) 70 - (15+30)= 25 other colors in the bag.

ii) 30:70

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3 years ago

1/2 to the 2nd power in fraction form

Rzqust [24]

Answer: $\frac{1}{4}$

Work Shown:

$\left(\frac{1}{2}\right)^2 = \left(\frac{1}{2}\right)*\left(\frac{1}{2}\right) = \frac{1*1}{2*2} = \frac{1}{4}$

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1 year ago

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aivan3 [116]

2 3/2 is not equal to any of these

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3 years ago

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Answer:

Step-by-step explanation:

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2 years ago