Answer:
The standard error of the proportion is 0.0485.
Step-by-step explanation:
The standard error of a proportion p in a sample of size n is given by the following formula:
In this problem, we have that:
The standard error of the proportion is 0.0485.
Answer:
Step-by-step explanation:
The first parabola has vertex (-1, 0) and y-intercept (0, 1).
We plug these values into the given vertex form equation of a parabola:
y - k = a(x - h)^2 becomes
y - 0 = a(x + 1)^2
Next, we subst. the coordinates of the y-intercept (0, 1) into the above, obtaining:
1 = a(0 + 1)^2, and from this we know that a = 1. Thus, the equation of the first parabola is
y = (x + 1)^2
Second parabola: We follow essentially the same approach. Identify the vertex and the two horizontal intercepts. They are:
vertex: (1, 4)
x-intercepts: (-1, 0) and (3, 0)
Subbing these values into y - k = a(x - h)^2, we obtain:
0 - 4 = a(3 - 1)^2, or
-4 = a(2)². This yields a = -1.
Then the desired equation of the parabola is
y - 4 = -(x - 1)^2
Answer:
125
Step-by-step explanation:
A is an inscribed angle. The central angle is 90, so angle A is 45.
110/2 = 55
180 - 45 - 55 = 80
Angle B is 80.
80 + 45 = 125
Answer: b
Step-by-step explanation:
Alright, lets get started.
Distributing into parenthesis
Subtracting from both sides
Adding in both sides
Adding in both sides
Making common denominator, adding fractions
It means
Dividing 23 in both sides
In interval notation
[,∞)
This is the answer
Hope it will help :)