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mina [271]
3 years ago
13

BRAINLIEST!!

Mathematics
2 answers:
REY [17]3 years ago
7 0

Answer:

Yes, the sum of any two sides is greater than the third.

Step-by-step explanation:

To determine whether the provided sides are the sides of a triangle check if the sum of two sides is more than the third side.

The length provided are: 8.5, 13 and 19.1.

  • Consider the sides 8.5 and 13:

        The sum is:

        8.5+13=21.5

        This sum is greater than the third side 19.1

  • Consider the sides 8.5 and 19.1:

        The sum is:

        8.5+19.1=27.6

        This sum is greater than the third side 13

  • Consider the sides 13 and 19.1:

        The sum is:

         13+19.1=32.1

        This sum is greater than the third side 8.5

Thus, the sides 8.5, 13 and 19.1 are sides of a triangle.

erma4kov [3.2K]3 years ago
5 0
The answer to this question would be yes
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Answer:

coefficent matrix

Step-by-step explanation:

P. 366

"If the column of constant terms is not included, the matrix reduces to that of the coefficent matrix of the system"

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3 years ago
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One car takes half a minute to complete a circuit.
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Answer:

7 laps

Step-by-step explanation:

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3 years ago
Data collected at Toronto Pearson International Airport suggests that an exponential distribution with mean value 2725hours is a
Ivan

Answer:

a) What is the probability that the duration of a particular rainfall event at this location is at least 2 hours?

We want this probability"

P(X >2) = 1-P(X\leq 2) = 1-(1- e^{-0.367 *2})=e^{-0.367 *2}= 0.48

At most 3 hours?

P(X \leq 3) = F(3) = 1-e^{-0.367*3}= 1-0.333 =0.667

b) What is the probability that rainfall duration exceeds the mean value by more than 2 standard deviations?

P(X > 2.725 + 2*5.540) = P(X>13.62) = 1-P(X

What is the probability that it is less than the mean value by more than one standard deviation?

P(X

Step-by-step explanation:

Previous concepts

The exponential distribution is "the probability distribution of the time between events in a Poisson process (a process in which events occur continuously and independently at a constant average rate). It is a particular case of the gamma distribution". The probability density function is given by:

P(X=x)=\lambda e^{-\lambda x}

The cumulative distribution for this function is given by:

F(X) = 1- e^{-\lambda x}, x\ geq 0

We know the value for the mean on this case we have that :

mean = \frac{1}{\lambda}

\lambda = \frac{1}{Mean}= \frac{1}{2.725}=0.367

Solution to the problem

Part a

What is the probability that the duration of a particular rainfall event at this location is at least 2 hours?

We want this probability"

P(X >2) = 1-P(X\leq 2) = 1-(1- e^{-0.367 *2})=e^{-0.367 *2}= 0.48

At most 3 hours?

P(X \leq 3) = F(3) = 1-e^{-0.367*3}= 1-0.333 =0.667

Part b

What is the probability that rainfall duration exceeds the mean value by more than 2 standard deviations?

The variance for the esponential distribution is given by: Var(X) =\frac{1}{\lambda^2}

And the deviation would be:

Sd(X) = \frac{1}{\lambda}= \frac{1}{0.367}= 2.725

And the mean is given by Mean = 2.725

Two deviations correspond to 5.540, so we want this probability:

P(X > 2.725 + 2*5.540) = P(X>13.62) = 1-P(X

What is the probability that it is less than the mean value by more than one standard deviation?

For this case we want this probablity:

P(X

8 0
3 years ago
Please help me please
cupoosta [38]
Y = 925/z

hope this helps!

5 0
3 years ago
Christian reads 14 book every 23 week.<br><br> How many books does Christian read per week?
gulaghasi [49]
14/23=0.61
He reads a bit over half a book per week
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2 years ago
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