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3 years ago

Factor the common factor out of -56x4 + 16x2 + 16x

Mathematics

2 answers:

wolverine [178]3 years ago

7 0

Answer:

The common factor is 8x or -8x

Step-by-step explanation:

-8x(7x^3-2x-2)

8x(-7x^3+2x+2)

Hope this is what you are looking for!! Stay Safe!!

evablogger [386]3 years ago

5 0

Answer:

The common factor is 8x or -8x ( I forgot if the first number needs to positive or not.

Step-by-step explanation:

-8x(7x^3-2x-2)

8x(-7x^3+2x+2)

Hope this is what you are looking for?

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The number of people arriving at a ballpark is random, with a Poisson distributed arrival. If the mean number of arrivals is 10,

Stella [2.4K]

Answer:

a) 3.47% probability that there will be exactly 15 arrivals.

b) 58.31% probability that there are no more than 10 arrivals.

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 time interval.

If the mean number of arrivals is 10

This means that $\mu = 10$

(a) that there will be exactly 15 arrivals?

This is P(X = 15). So

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

$P(X = 15) = \frac{e^{-10}*(10)^{15}}{(15)!} = 0.0347$

3.47% probability that there will be exactly 15 arrivals.

(b) no more than 10 arrivals?

This is $P(X \leq 10)$

$P(X \leq 10) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) + P(X = 6) + P(X = 7) + P(X = 8) + P(X = 9) + P(X = 10)$

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

$P(X = 0) = \frac{e^{-10}*(10)^{0}}{(0)!} = 0.000045$

$P(X = 1) = \frac{e^{-10}*(10)^{1}}{(1)!} = 0.00045$

$P(X = 2) = \frac{e^{-10}*(10)^{2}}{(2)!} = 0.0023$

$P(X = 3) = \frac{e^{-10}*(10)^{3}}{(3)!} = 0.0076$

$P(X = 4) = \frac{e^{-10}*(10)^{4}}{(4)!} = 0.0189$

$P(X = 5) = \frac{e^{-10}*(10)^{5}}{(5)!} = 0.0378$

$P(X = 6) = \frac{e^{-10}*(10)^{6}}{(6)!} = 0.0631$

$P(X = 7) = \frac{e^{-10}*(10)^{7}}{(7)!} = 0.0901$

$P(X = 8) = \frac{e^{-10}*(10)^{8}}{(8)!} = 0.1126$

$P(X = 9) = \frac{e^{-10}*(10)^{9}}{(9)!} = 0.1251$

$P(X = 10) = \frac{e^{-10}*(10)^{10}}{(10)!} = 0.1251$

$P(X \leq 10) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) + P(X = 6) + P(X = 7) + P(X = 8) + P(X = 9) + P(X = 10) = 0.000045 + 0.00045 + 0.0023 + 0.0076 + 0.0189 + 0.0378 + 0.0631 + 0.0901 + 0.1126 + 0.1251 + 0.1251 = 0.5831$

58.31% probability that there are no more than 10 arrivals.

8 0

3 years ago

A candy company can make 350 pounds of chocolate and 6 hours how much can they make in 10 hours

Andrew [12]

350 ÷ 6 = 58.33

58.33 pounds of chocolate per hour

58.33 × 10 = 583.3

583.33 pounds of chocolate in 10 hours

8 0

3 years ago

Read 2 more answers

What is the answer to this question <br> 8x^2-8

KIM [24]

Answer:

8(x+1)(x-1)

Step-by-step explanation:

I don't know if that is right but that is what I got.

6 0

2 years ago

HURRY HELP ME. Which statement about numbers is true? All whole numbers are rational numbersS All rational numbers are integers.

iris [78.8K]

Answer:

all rational numbers are intergers

Step-by-step explanation:

Every integer is a rational number, since each integer n can be written in the form n/1. For example 5 = 5/1 and thus 5 is a rational number

4 0

3 years ago

I need a lot of help on this

Natalija [7]

Answer:

True it is a rhombus

Step-by-step explanation:

Square is a rhombus because like a rhombus, all the sides of a square are equal in length. Even, the diagonals of both square and rhombus are perpendicular to each other and bisect the opposite angles. Therefore, we can say the square is a rhombus.

6 0

2 years ago