Answer:
So there are infinite solutions along the line y = 2x-1
Step-by-step explanation:
10x=5y+5
y=2x-1
Substitute y into the first equation
10x = 5(2x-1) +5
10x = 10x-5+5
10x = 10x
This is always true
So there are infinite solutions along the line y = 2x-1
Answer:
Union and Intersection
Step-by-step explanation:
We know that the algebra of sets define the properties and laws of the sets.
The basic operations of sets are,
Union, Intersection, Complement of a set and Equality of sets.
Since, the operations addition, subtraction, multiplication and division are the basic arithmetic operations of numbers.
i.e. they are not in the algebra of sets.
So, we get that out of the given options, the operations in algebra of sets are Union and Intersection.
So the total bill will be 44.99 + 20% of 44.99 or the total bill (x) will equal 44.99 + .20 × 44.99
x = 44.99 + (.20)44.99
x = 44.99 + 9.00
x = $53.99
*note- .20(44.99) = 8.998 which rounds to $9.00
The difference between the mean of the sample and the mean of the population is A. 0.55
<h3>Calculations and Parameters:</h3>
Given the population data is:
0 3 3 1 3 2 2 2 5 4 3 3 3 0 1 2 0 2 3 3
The sample data is:
5 3 0 2 4
The mean of the population data is:
45/20= 2.25
The mean of the sample data is:
14/5= 2.8
Therefore, the difference between the mean of the sample and the population is:
2.8-2.25= 0.55
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