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(d^3-5d^2+7d-3)y=0
Lindiwe decides that she would like to buy her daughter,Mbali, a car when she turns 21 in six years time. She deposits R6000 each month into an account earning 8,94% interest per year, compounded monthly. The amount that Lindiwe ( rounded to the nearest rand ) will have available six years from now is
A firm uses three local hotels to provide accommodations for its clients. From past experience, it is known that 20% of its client are assigned rooms at Hotel A, 45% at Hotel B and 35% at Hotel C. It is also known that the probabilities of Hotel A, Hotel B and Hotel C facing water problems are 0.02, 0.01 and 0.03 respectively.
(a)Draw a tree diagram for the above data
(b)What is the probability that a client will be assigned a room without water problem?
A bed mart company is in the business of manufacturing beds and
Pillows. The company has 40 hours for assembly and 32 hours for
finishing work per day. Manufacturing of a bed requires 4 hours for
Assembly and 2 hours for finishing. Similarly a pillow requires 2 hours
for assembly and 4 hours for finishing. Profitability analysis indicates
that every bed would contribute Birr 80, while a pillow contribution is
Birr 55 respectively. Maximise 1170x1 + 1110x2
Subject to: 9x1 + 5x2 ≥ 500
-Find graphically the feasible region and the optimal solution
A university has analyzed the results of 1,000 students after the first year examinations. The result of the analysis is summarized below
Types of sponsorship
Examination results
Government
Private
Church
Students who were to be discontinued
155
150
105
Students who passed the examination
180
195
170
Students who were to sit for a supplementary paper
20
5
20
Required
The probability that a student was discontinued or was required to sit for a supplementary paper
The probability that a student was a government sponsored
The probability that a privately sponsored student passed the examination
The probability that a student was church sponsored and was required to sit for a supplementary paper
(D^2+4D+3)y=2cos^2x
Sketch the normal curve and use z table to find the area that corresponds to each following z values then multiply the area to 100to get its percent.
What is the probability that three or more copies will be demanded in a particular day?
Percentile of 1.44 and - 1.34
Suppose V
V and W
W are finite-dimensional and T∈L(V,W)
T∈L(V,W). Then, with respect to each choice of bases of V
V and W
W, the matrix of T
T has at least dimR(T)
dimR(T) nonzero entries.
#339914 on Dec 2023