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11Alexandr11 [23.1K]
3 years ago
12

-6 + (-2) + 5= ? Help would really be appreciated!! :)

Mathematics
2 answers:
lozanna [386]3 years ago
6 0

Answer:

-6 + (-2) + 5 = -3

(Hope this helps! Btw, I am the first to answer. Brainliest pls! :D)

kvasek [131]3 years ago
4 0

Answer:

-3

Step-by-step explanation:

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Using descriptive statistics, you have found out that it takes an average of 40 minutes to complete a mid-term examination in IS
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b. exam completion time is negatively skewed

Step-by-step explanation:

A data distribution is said to be negatively skewed when <em>median</em> value of the distribution is higher than the <em>average</em> value of the distribution.

In this example

  • average mid-term completion time is 40 minutes  
  • median mid-term completion time is 55 minutes.

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3 years ago
The following table shows the estimated populations and annual growth rates for four countries in the year 2000. Find the expect
Softa [21]

Answer:

For Australia: 22,044,350

For China: 1,545,744,200

For Mexico: 145,507,500

For Zaire: 92,237,875

Step-by-step explanation:

For Australia: Population in 2000 is 19,169,000 and it is increasing steadily at a rate of 0.6% per year.

Therefore, the population in the year 2025 will be  

19169000[1+\frac{0.6 \times 25}{100} ]= 22,044,350 (Answer)

For China: Population in 2000 is 1,261,832,000 and it is increasing steadily at a rate of 0.9% per year.

Therefore, the population in the year 2025 will be  

1261832000[1+\frac{0.9 \times 25}{100} ]= 1,545,744,200 (Answer)

For Mexico: Population in 2000 is 100,350,000 and it is increasing steadily at a rate of 1.8% per year.

Therefore, the population in the year 2025 will be

100350000[1+\frac{1.8 \times 25}{100} ]= 145,507,500 (Answer)

For Zaire: Population in 2000 is 51,965,000 and it is increasing steadily at a rate of 3.1% per year.

Therefore, the population in the year 2025 will be

51965000[1+\frac{3.1 \times 25}{100} ]= 92,237,875 (Answer)

5 0
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
4 years ago
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