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Anna007 [38]
3 years ago
10

Find the remainder when x⁵+x³+x is divided by x-3. State whether the binomial is a factor of the polynomial

Mathematics
1 answer:
mestny [16]3 years ago
6 0
It is not a polynomial
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Small metal parts each measure to 3/16
emmasim [6.3K]

Answer:

160

Step-by-step explanation:

How many 3/16 are in 30.

30 ÷ 3/16

160

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3 years ago
A Geiger counter counts the number of alpha particles from radioactive material. Over a long period of time, an average of 14 pa
UkoKoshka [18]

Answer:

0.2081 = 20.81% probability that at least one particle arrives in a particular one second period.

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.

Over a long period of time, an average of 14 particles per minute occurs. Assume the arrival of particles at the counter follows a Poisson distribution. Find the probability that at least one particle arrives in a particular one second period.

Each minute has 60 seconds, so \mu = \frac{14}{60} = 0.2333

Either no particle arrives, or at least one does. The sum of the probabilities of these events is decimal 1. So

P(X = 0) + P(X \geq 1) = 1

We want P(X \geq 1). So

P(X \geq 1) = 1 - P(X = 0)

In which

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

P(X = 0) = \frac{e^{-0.2333}*(0.2333)^{0}}{(0)!} = 0.7919

P(X \geq 1) = 1 - P(X = 0) = 1 - 0.7919 = 0.2081

0.2081 = 20.81% probability that at least one particle arrives in a particular one second period.

8 0
3 years ago
A store pays $20 for a set of headphones. The store sells the set of headphones for $70. Your classmate says that the markup is
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Yes. your classmate is correct
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Answer:

130.8

Step-by-step explanation:

i just think that you times 0.40 and 327 and then press = and it should give you 130.8

i hope it works

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Write 30/100 as a money amount and as a decimal in terms of a dollar
g100num [7]
Decimal: .3, money: $30/$100 Decimal is .3 because 30/100 is like saying 3/10 or .3/1
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3 years ago
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