Answer:
A function can have many x values for a given y value and still be a function but it cannot have many y values for a given x value. You can easily test this by graphing the equation and doing the vertical line test by seeing if a vertical line will intersect the graph only once at all x values, if it passes it is a function. In short what you have here is a function
Step-by-step explanation:
f (x) = a(x - h)^2 + k, where (h, k) is the vertex of the parabola.
Do you see the h and k in your equation?
-h = -(-2) = 2
We see that k = -4.
Our vertex is (2, -4).
It is 80. Opposite angles in a parallelogram are equal.
Answer:
65.04<x<68.96
Step-by-step explanation:
The confidence interval formula is expressed as;
CI = x ± z*s/√n
x is the mean = 67
z is the 95% z score = 1.96
s is the standard deviation = 8
n is the sample size = 64
Substitute;
CI = 67 ± 1.96*8/√64
CI = 67 ± 1.96*8/8
CI = 67 ± 1.96
CI = (67-1.96, 67+1.96)
CI = (65.04, 68.96)
Hence the confidence interval for the mean of the population is between 65.04<x<68.96
