The points (0, -3) and (5, -2) are solutions to the system of equations.
To find the solutions, you first have to graph both of the lines in the problem.
y = -2x - 3 and y = 2x + 1. Then, to shift them to an inequality, you have to shade the half-plane that they represent.
The solution is the space that they have in common. In this case, it will be on the right side of the graph.
The points (0, -3) and (5, -2) are included in the shaded region they have in common.
Answer:
Step-by-step explanation:
B/4=3.2
B=12.8
To solve for the margin of error:
margin of error = critical value x standard error
To compute for the critical value:
1. compute alpha: α= 1 - (confidence level/100) = 1 - .99 = 0.01
2. Find the critical probability: p = 1 - α/2 = 1 - (0.01/2) = 0.995
3. Look for the z score at the z table, in this case it is 2.58. This is your critical value.
To compute for the standard error, the formula is:
standard error = standard deviation (σ) divided by √n = 1.6 / √420 = 0.0781
Now plug in the following in the formula:
margin of error: 2.58 * 0.0781 = 0.2014 or 0.20
The answer is letter C.
24.
This is because the equation you have presented is that of a circle, formulated like so:
x^2 + y^2 = r^2 or radius squared
With that information, you know the find the square of the presented radius which is 12 and the actual radius.
The radius is half of the diameter, which makes the diameter 12 x 2 or 24.
Hope this helps!
