Answer:
no solution
Step-by-step explanation:
12x − 18y = 27
4x − 6y = 10
Multiply the second equation by -3 so we can eliminate x
-3(4x − 6y) = 10*-3
-12x +18y = -30
Add the first equation to this new equation
12x − 18y = 27
-12x +18y = -30
------------------------
0 = -3
This is not a true equation, so there is no solution
Answer:
x^2 + y^2 = 36
Step-by-step explanation:
Just add 36 to both sides. This is a circle with the center at the origin and radius 6.
Answer: 547
Step-by-step explanation: The margin of error formulae is given below as
Margin of error = critical value ×(σ/√n)
Where σ = standard deviation and n is the sample size.
From our question, margin of error = 0.08
Variance is 1.691,
hence σ = √variance = √1.691
= 1.3.
We will be using a z test for our critical value this is because a soft drink manufacturer will always produce drinks more than 30 in numbers.
The critical value for a 85% confidence interval is 1.44.
Hence critical value is 1.44.
By substituting the parameters, we have that
0.08 = 1.44 × 1.3/ √n
0.08 = 1.873/ √n
By cross multiplying
0.08 × √n = 1.873
√n = 1.873/ 0.08
√n = 23.41
n = (23.41)²
n = 547.
Answer:
4.5 is a rational number, as it can be represented as 9/2. Many important numbers in mathematics, however, are irrational, and cannot be written as ratios.
What is the modulus of 2 – 3i?
