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riadik2000 [5.3K]
3 years ago
10

Determine all values of k for which the roots of the equation x^2-6x+k=0 are complex

Mathematics
1 answer:
MaRussiya [10]3 years ago
6 0
Complex roots occur when b^2 - 4ac is negative.

So we have (-6)^2 - 4.1.k < 0
                      -4k < - 36
                       k > 9
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The number of requests for assistance received by a towing service is a Poisson process with rate θ = 4 per hour.a. Compute the
aliya0001 [1]

Answer:

a) 9.93% probability that exactly ten requests are received during a particular 2-hour period

b) 13.53% probability that they do not miss any calls for assistance

c) 2

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.

Poisson process with rate θ = 4 per hour.

This means that \mu = 4n, in which n is the number of hours.

a. Compute the probability that exactly ten requests are received during a particular 2-hour period.

n = 2, so \mu = 4*2 = 8

This is P(X = 10). So

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

P(X = 10) = \frac{e^{-8}*8^{10}}{(10)!} = 0.0993

9.93% probability that exactly ten requests are received during a particular 2-hour period

b. If the operators of the towing service take a 30-min break for lunch, what is the probability that they do not miss any calls for assistance?

n = 0.5, so \mu = 4*0.5 = 2

This is P(X = 0). So

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

P(X = 0) = \frac{e^{-2}*2^{0}}{(0)!} = 0.1353

13.53% probability that they do not miss any calls for assistance

c. How many calls would you expect during their break?

n = 0.5, so \mu = 4*0.5 = 2

4 0
3 years ago
What expression can be used to find 38 percent of 22
Oksanka [162]

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Juliette [100K]

Answer:

D

Step-by-step explanation:

6*10 = 60 so which answer choice has a 60 in and that will be D.

8 0
3 years ago
The seventh grade students are having an end-of-year party in the school cafeteria. There are 754 students attending the party.
Leno4ka [110]

Answer:

Determine the number of tables by dividing 754 by 6. If there is a remainder, the answer will need to be rounded tenths or hundredths . There is a remainder, so 125.6 tables are needed.

Step-by-step explanation:

8 0
2 years ago
Please could someone help with this one . Thanks I will brainlist
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The answer to this is the third option choice: Reaches a maximum height of 549 after 5.75 seconds.
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