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3 years ago

Factor the trinomial: 5x^2+21x+4

Mathematics

1 answer:

Rom4ik [11]3 years ago

6 0

Answer:

(5x+1)(x+4)

Step-by-step explanation:

5*4 = 20

20*1 = 20 and 20+1 = 20

5x^2+20x+1x+4

5x(x+4)1(x+4)

5x+1)(x+4

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If electricity power failures occur according to a Poisson distribution with an average of 3 failures every twenty weeks, calcul

Wittaler [7]

Answer:

0.9898 = 98.98% probability that there will not be more than one failure during a particular week.

Step-by-step explanation:

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.

3 failures every twenty weeks

This means that for 1 week, $\mu = \frac{3}{20} = 0.15$

Calculate the probability that there will not be more than one failure during a particular week.

Probability of at most one failure, so:

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

Then

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

$P(X = 0) = \frac{e^{-0.15}*0.15^{0}}{(0)!} = 0.8607$

$P(X = 1) = \frac{e^{-0.15}*0.15^{1}}{(1)!} = 0.1291$

Then

$P(X \leq 1) = P(X = 0) + P(X = 1) = 0.8607 + 0.1291 = 0.9898$

0.9898 = 98.98% probability that there will not be more than one failure during a particular week.

6 0

3 years ago

Solve for y; 1/y = a/w + w/a

AVprozaik [17]

Do it yourself GET OFF THIS APPPPP just kidding idk the answer

8 0

4 years ago

Read 2 more answers

Why is the greatest common factors with 2 numbers sometimes 1

OverLord2011 [107]

The greatest common factor of two numbers, one of which is 1, will always be 1.

5 0

3 years ago

12.4. Measure of Dispersion 2076 Q.No. 15 Find the standard deviation of: 4, 6, 8, 10, 12.

Alenkinab [10]

Answer:

Standard deviation of given data = 3.16227

Step-by-step explanation:

Step(i):-

Given sample size 'n' = 5

Given data 4, 6,8,10,12

$Mean = \frac{4+6+8+10+12}{5} = 8$

Mean of the sample x⁻ = 8

Standard deviation of the sample

$S.D = \sqrt{\frac{Sum(x-x^{-} )^{2} }{n-1}}$

Step(ii):-

Given data

x : 4 6 8 10 12

x-x⁻ : 4 - 8 6-8 8-8 10-8 12-8

(x-x⁻) : -4 -2 0 2 4

(x-x⁻)² : 16 4 0 4 16

$S.D = \sqrt{\frac{Sum(x-x^{-} )^{2} }{n-1}}$

$S.D = \sqrt{\frac{16+4+0+4+16}{4}}$

S.D = √10 = 3.16227

Final answer:-

The standard deviation = 3.16227

8 0

3 years ago

What is 3X minus 6 and how did you get there??? A. 7 B. 9 C. 15 D. 18

Brilliant_brown [7]

Multiply 3x by -6, it gives you -18 so I'm going to say D

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3 years ago

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