ThousandSeas9381
06.05.2021 •
Mathematics
For problems 1-5, use the unit circle to calculate the given values.
1. cos 120
2. sin 30
3. tan 150
4. sin 240
5. cos 300
Solved
Show answers
More tips
- A Animals and plants How to Store Carrots: Tips for Homeowners...
- L Legal consultation Juvenile Justice: Who Needs It?...
- F Family and Home How to Choose the Best Diapers for Your Baby?...
- F Family and Home Parquet or laminate, which is better?...
- L Leisure and Entertainment How to Properly Wind Fishing Line onto a Reel?...
- L Leisure and Entertainment How to Make a Paper Boat in Simple Steps...
- T Travel and tourism Maldives Adventures: What is the Best Season to Visit the Luxurious Beaches?...
- H Health and Medicine Kinesiology: What is it and How Does it Work?...
- O Other How to Choose the Best Answer to Your Question on The Grand Question ?...
- L Leisure and Entertainment History of International Women s Day: When Did the Celebration of March 8th Begin?...
Answers on questions: Mathematics
- M Mathematics Plot A shows the number of hours ten girls watched television over a one-week period. Plot B shows the number of hours ten boys watched television over the same period...
- M Mathematics In Exercises 9-12, find the critical value tc for the level of confidence c and sample size n. 9. C = 0.80, n = 10 11. C = 0.98, n = 15 10. C = 0.95, n = 24 12. C = 0.99,...
- M Mathematics Plz help ASAP! A)490 in2 B)600 in2 C)560 in2 D)440 in2...
- M Mathematics Thirteen students entered the undergraduate business program at Rollins College 2 years ago. The following table indicates what their grade-point averages (GPAs) were after...
- M Mathematics A student claims that the rectangular point below can be represented by thepolar coordinates (6√2,7π/4) and the polar coordinates (-6√2, 3π/7).Is the student correct? Justify...
- M Mathematics The base area of a model square pyramid is 1,000 sq ft. The height of the pyramid is 100 ft. Find the volume of the pyramid in cubic feet. Round to the nearest cubic foot....
- M Mathematics A sample of manufactured items will be selected from a large population in which 8 percent of the items are defective of the following, which is the least value for a sample...
- M Mathematics Tim and Jim sell the same products. However, Tim sells his products at the lowest price in the market. Which strategy is Tim using?...
- M Mathematics 350,952 rounded to the nearest hundred thousand...
- M Mathematics Prompt Two college roommates are discussing how to divide up the chores for their shared apartment See the chart below and answer the questions that follow in paragraph...
Ответ:
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"
At most 3 hours?
b) What is the probability that rainfall duration exceeds the mean value by more than 2 standard deviations?
What is the probability that it is less than the mean value by more than one standard deviation?
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:
The cumulative distribution for this function is given by:
We know the value for the mean on this case we have that :
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"
At most 3 hours?
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:
And the deviation would be:
And the mean is given by
Two deviations correspond to 5.540, so we want this probability:
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: