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Il Directions: Perform what is being asked Solve the problem by showing the step-by-step process.


Situation: Miko, a DOH COVID-19 tracker, found out that the number' fected persons of COVID-19 in seven


low nisk provinces of the country are 1,9, 2, 12, 8, 7, and 1 Supposed to provinces are drawn as sample,


1. What is the mean (), variance (o) and standard deation of the population (c)?


2 How many different samples of size n =6 can be drawn from the pop station?


List them with their corresponding mean


Construct the sampling distribution of the sample menn

A population consist of five measurements 2,6,8,3&1. How many different samples of size n=2 can be drawn from the population? What is the mean & variance of the sampling distribution of the sample means?

 10 cats caught 10 rats in 10 seconds. How many cats are required to catch 100 rats in 100 seconds? 


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


Given two similar triangles, one with small measurements that can be accurately determined, and the other with large measurements, but at least one is known with accuracy, can the other two measurements be deduced? Explain and give an example.





The similarity of triangles gives rise to trigonometry.





How could we understand that the right triangles of trigonometry with a hypotenuse of measure 1 represent all possible right triangles? Ultimately, the similarity of triangles is the basis for proportions between sides of two triangles, and these proportions allow for the calculations of which we are speaking here. The similarity of triangles is the foundation of trigonometry.


Bongi supplies trays of fresh sandwiches to offices daily. Her daily fixed costs amount to R844

R844, while her variable cost is R27

R27 per tray. Bongi's total cost and marginal cost functions (in terms of the number of trays supplied, Q

Q) are given by


Bongi supplies trays of fresh sandwiches to offices daily. Her daily fixed costs amount to R844

R844, while her variable cost is R27

R27 per tray. Bongi's total cost and marginal cost functions (in terms of the number of trays supplied, Q

Q) are given by


Estimate the values of c that satisfy the conclusion of the Mean Value Theorem on the interval (0,8). Enter your answer as a comma-separated list. Round to one decimal.


The following points define quadrilateral ABCD:

A (1, -5, 2)

B (8, -5, 7)

C (-13, 10, 7)

D (8, -2, -2)

Prove wether this shape is best described as a:

a) Square

b) Rectangle

c) Rhombus

d) Parallelogram

e) Kite

f) None of the above


There is a triangle formed by the intersection of the following lines:

r1 = [0,1,7]+s[15,6,-12]

r2 = [4,-4,8]+s[4,-5,1]

r3 = [4,-4,8]+s[4,-5,1]

Find the area of this triangle


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