Answer:
Step-by-step explanation:
x=100 (vertically opposite angle)
Slope is the change in Y over the change in X:
Slope = (6 - -8) / (5 - -3)
Slope = (6+8) / (5+3)
Slope = 14/8
Slope = 7/4
F(x) = 12/(4x+2)
x = -1
f(-1) = 12 / [4(-1)+2]
f(-1) = 12 / (-4+2)
f(-1) = 12 / -2
f(-1) = -6
Answer:
within ±1.96 standard deviations of the sample mean
Step-by-step explanation:
A 95% confidence interval is found using the formula C = 1 - α, and some other stuff, but let's focus on that for now. Using the formula:
.95 = 1 - α
α = .05
If α = .05, that means a 2-sided confidence interval would be found using the sample mean and the Z-score Z(subscript α/2), or Z.₀₂₅ because α AKA .05 divided by 2 = .025. From there, you take this either to your calculator or a Z-table (or perhaps you have a chart that lists the common CI values), and see that for the area to be .025 beneath a standard normal curve, your Z value is ±1.96 ("plus or minus" because we're considering a 2-sided confidence interval).
