The essence of many perfumes comes from the oils in the petals of fresh flowers, such as the rose, carnation, and orange blossom. However, fragrances are not limited to the petal, but can come from the leaves of lavender, peppermint, and geranium. Also, the oils of cinnamon and balsam are derived from bark, while the oils of cedar come from its wood. The fragrance of ginger and sassafras comes from roots, whereas that of orange, lemon, and nutmeg comes from fruits and seeds. Thus, there are many sources from which to derive fragrances for perfumes.
The two most common type of errors made by programmers are syntax errors and errors in logic. For a simple language such as BASIC the number of such errors is usually small. Let X denote the number of syntax errors and Y the number of errors in logic made on the first run of a BASIC program. Assume that the joint density for (X,Y) is as shown in table 2:
x/y
0
1
2
3
0
.400
.100
.020
.005
1
.300
.040
.010
.004
2
.040
.010
.009
.003
3
.009
.008
.007
.003
4
.008
.007
.005
.002
5
.005
.002
.002
.001
a. Find the probability that a randomly selected program will have neither of these types of error.
b. Find the probability that a randomly selected program will contain at least one syntax error and at most one error of logic.
c. Find the marginal densities for X and Y
d. Find the probability that a randomly selected program contains at least two syntax errors.
e. Find the probability that a randomly selected program contains one or two errors in logic.
Let X denote the time in hours needed to locate and correct a problem in the software that governs the timing of traffic lights in the downtown area of a large city. Assume that X is normally distributed with mean 10 hours and variance 9.
a. Find the probability that the next problem will require at most 15 hours to find and correct.
b. The fastest 5% of repairs take at most how many hours to complete?
In an automobile plant two tasks are performed by robots. The first entails welding two joints; the second, tightening three bolts. Let X denote the number of defective welds and Y the number of improperly tightened bolts produce per car.
Table 1:
x/y 0 1 2 3
0 .840 .030 .020 .010
1 .060 .010 .008 .002
2 .010 .005 .004 .001
Use table 1 to find each of these probabilities,
a. The probability that exactly two defective welds and one improperly tightened bolt will be produced by the robots.
b. The probability that at least one defective weld and at least one improperly tightened bolt will be produced.
c. The probability that at most one defective weld will be produced.
Consider the reaction that has reached a state of equilibrium at 200oC:
2HCl(g) + O2(g) ⇌ 2Cl2(g) + 2H2O(g) exothermic
Determine whether each of the following will increase the equilibrium concentration of Cl2 product. Explain your reasoning.
a. Remove H2O gas
b. Remove HCl gas
c. Removing Cl2 gas.
d. Increasing the temperature of the system:
e. Decreasing the pressure in the reaction vessel:
Public Manager need to be mindful of the many technological advances and should not persist in using obsolete aids and techniques to carry out their activities.instead they should endeavour to replace outdated aids and techniques with sophisticated and advanced technology as far as possible.in the past 20 years the world has gone through numerous advances innovation and technology.this has changed the way in which the south African government carries out some of the activities and services.in the essay you are required to critical examine three innovative changes in the South Africa public sectors.your discussion should include information on the process or system which existed before a more innovative one came to existence and replace it.Remember to include introduction this should contain brief background information on the organisation,in text reference to indicate where you obtained your information
Consider the reaction that has reached a state of equilibrium at 200oC:
2HCl(g) + O2(g) ⇌ 2Cl2(g) + 2H2O(g) exothermic
Determine whether each of the following will increase the equilibrium concentration of Cl2 product. Explain your reasoning.
a. Remove H2O gas
b. Remove HCl gas
c. Removing Cl2 gas.
d. Increasing the temperature of the system:
e. Decreasing the pressure in the reaction vessel:
Find any folklore, fable, myth or legend in the language you are planning to teach and paste,
copy or retype it in into your assignment.
If you do have access to the English version of the folklore, fable, myth or legend, paste, copy or
retype it in your assignment. If you do not have an English version, please summarise the text in
200 - 250 words in English.
Answer the following questions based on the folklore, fable, myth or legend (please answer in English):
3.1 What pre-reading activities would you do based on the folklore, fable, myth or legend? (5)
3.2 How will you go about to teach the plot and characters in the story? (5)
3.3 What is the moral/message of the story and how would you teach it to learners? (5)
3.4 What post-reading activities would you do? (5)
3.5 Formulate five (5) questions that you would ask learners based on the
text. Each question should be on a different level of thinking. (5)
3.6 Indicate the level of thinking in brackets next to the question.
Use the excerpt from the CAPS above to explain how you will guide the learners through the
writing process to write a news report based on personal experience. Clearly indicate what
activities you will let them do during each phases of the writing process (Please do not write
about your own personal experience. You need to explain how you will teach learners to write a
news report on their own experience.) (25)
2.2 What considerations would you keep in mind when assessing the news report the learners have
A sample of raw scores of Grade 11 students consists of the five numbers 10, 14, 17, 20 and 12. Consider samples of size 2 that can be drawn from this sample.
How many are the possible outcomes? *
What is the probability of getting 14.5 as a mean? *
What is the probability of getting 11 as a mean? *
What is the probability of getting 22.5 as a mean? *
What is the probability of getting 16 as a mean? *