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Graph the solution set of the following system of linear inequalities 1. 2x+3y>8; 4x+5y<4 2. 3x-6y<3; 5x-3y<3; x>1


A sample of size 3 is taken from a population of the number of students in each class of Grade 9 students listed as 25, 30, 35, and 40.



Create a histogram

A sample of size 3 is taken from a population of the number of students in each class of Grade 9 students listed as 25, 30, 35, and 40.





Construct the sampling distribution of the sample means






Am explorer walks 22km due North and then walks 45degrees south east for 47km.what’s the resultant displacement from the origin?


There are 200 shirts and 100 pairs of trousers from last season that a retailer wants to get rid of. They've come up with two options, A and B, and are putting them together. Offer A is a $30 set that includes a shirt and a pair of trousers. Offer B is a $50 set that includes three shirts and two pairs of trousers. A total of 20 of Offer A and 10 of Offer B packages must be sold in order for the business to make a profit. Is there a maximum number of packets they need to sell in order to maximize profit?


  • An explorer walks 22km due North and then 45 degrees south of east for 47km.what’s the resultant displacement from the origin?

1. Two charges are located on the positive x-axis of a coordinate system. Charge π‘ž1 = 2 Γ— 10βˆ’9𝐢 is 2cm from the origin, and charge π‘ž2 = βˆ’3 Γ— 10βˆ’9𝐢 is 4cm from the origin. What is the total force exerted by these two charges on a charge π‘ž3 = 5 Γ— 10βˆ’9𝐢 located at the origin?


2. A negative charge of βˆ’0.50 Γ— 10βˆ’6𝐢 exerts a repulsive force of magnitude 0.20 N on an unknown charge 0.20 m away. What is the unknown charge (magnitude and sign)?


3. How many excess electrons must be placed on each of two small spheres spaced 3cm apart if the spheres are to have equal charge and if the force of repulsion between them is to be 10βˆ’19𝑁?


4. What is the electric field 30cm from a charge π‘ž = 4 Γ— 10βˆ’9𝐢?


5. The electric field caused by a certain point charge has a magnitude of 5.0 Γ— 103 𝑁 𝐢 at a distance 0.10m from the charge. What is the magnitude of the charge?





Suppose three coins are tosted.Let Y be the random variable representing the number of tails that occur.Find the values of the random variable Y.Make a table to show the values of the random variable

Silver has a face-centered cubic unit cell. How many atoms of Ag are present in each unit cell?


Create an application named TestSandwich_[your name] that instantiates one Sandwich object and demonstrates the use of the set and get methods.Β 

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