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Solve y^1=(2x+2y+3)/(2x+2y-1)

Solve y^1=(2x+2y+3)/(2x+2y-1)

Solve y^1=(2x+2y+3)/(2x+2y-1)

what is the factor given that the size of the population is 500 and samples of size 50 are drawn from this population


There is a set X = {1, 2, 3, 4, 5}. Find the sets A, B, C such that A ⊆ X, B ⊆ X,

C ⊆ X,

(A ∪ B) ⊆ (A ∩ C)

and C 6⊆ B.


Supposed to laptops or tested . If we let x be the random variable representing the number of defective laptops . What are the possible values of the random variable ?

1. Let A = { 2, 3 }, and B = { 3, 4, 5, 6 }


Let R be a relation from A to B where



R = {(x, y) “x exactly divides y”}



Enumerate the following:



A. elements of R; R = { ______, ______, ______, ______ }



rewrite R as a table.


A B








2. Let R be a relation on A = { 1, 2, 3 } defined by




R = { (x, y) l x ≤ y ˄ x, y ∈ A }



Identify the domain and range of the relation R.




















Find the probability distribution of a random variable X representing the outcome when a single die is rolled once.




2 Three cards are drawn in succession from a deck without replacement. Find the probability distribution for the number of hearts.




Mean and Variance of Discrete Random Variable




The random variable X, representing the number of raisins in a bread, has the following probability distribution:




x




2




3




4




5




6




P(X = x)




0.01




0.34




0.28




0.15




0.22







Find the mean and variance of X.

Random samples with size 4 are drawn from the population containing the values 14, 19, 26, 31, 48, and 53




a. Construct a sampling distribution of the sample means.



b. Find the mean of the sample means.



c. Compute the standard error of the sample means.

When a square metal plate 15 cm long is heated, its side increases by 0.05 cm.


If the plate is cooled and its side decreases by 0.05, how much did its area decrease?


If it is a cubic plate and it is cooled by decreasing its side by 0.05, determine how much its volume decreased?



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