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a2x2=y3(2a-y) trace the curve
Calculate the mean for the population data. Select one random sample of size three and calculate the sample mean Compute the sampling error?
Show that the relation R = ∅ on a nonempty set S is symmetric and transitive but not reflexive.
Given x and y are species whose interaction is governed by x¹=x(-20-x+2y) and y¹=y(-50+x-y) ..... identify the type of interaction 2) determine equilibrium point of model and state possible outcomes of this interaction 3)linearise the system around each equilibrium point and discuss the nature of stability of each equilibrium point....4)sketch phase portrait of the above system
Solve the following Non-Homogeneous systems by Gauss elimination and Gauss
Jordan Method.
a) 2x + y + 4z = 12
8x - 3y + 2z = 20 4x + 11y - z = 33
A. A researcher is conducting an investigation on the income of the alumni of a certain university 5 years after graduation. The monthly income of 200 responds were taken and are presented in a distribution as shown below
Classes f
3, 500- 4, 999 6
5, 000- 6, 499 23
6, 500- 7, 999 36
8, 000- 9, 499 40
9, 500- 10,999 59
11,000- 12, 499 20
12, 500- 13,999 8
14, 000- 15, 499 6
15, 500- 16, 999 2
a. Range
b. Compute the value of the variance
c. Compute the value of standard deviation
B. The efficiency rating of 12 employees of a certain department were taken and are below.
81,86,68,69,78,93,81,83,71,88,95,83
Using the formula of ungrouped data compute the value of the following.
a. Range
b. Variance
C. Standard deviation
what is the sum of the first 40 terms whose general term is An=5n+10
Answer the following items. Show your complete answer on a separate sheet of paper.
Prove that the following sentences are tautologies.
1. p →p
2. p → (p V q)
3. [p Λ (p → q)] → q
4. p V ~p
5. q → (p V ~p)
6. ~p → (p →q)
7. (p Λ q) → p
8. (p → q) → [(p V r) → (q V r)]
9. ~q → ~(q Λ r)
There are 4 red, 3 green and five blue discs.two discs are drawn out. Find probability that two discs of same color are drawn out
Let U = {English, French, History, Math, Physics, Chemistry, Psychology, Drama}, A = {History, Math, English, Drama},
B = {Chemistry, Physics, French, English, Drama},
and C = {Psychology, Math, French}.
Find the following.
n[(A ∪ B) ∪ C]
