Find the axis of symmetry for this parabola: y= -x^2-2x-5

Given the equation of parabola: y = -x² - 2x - 5

y = ax² + bx + c and negative value of 'a' tell us that it is a downward open parabola whose axis of symmetry would be x = k.

where k is the x-coordinate of vertex of given parabola.

Finding the vertex of parabola, x =

So, the axis of symmetry for this parabola is x = -1.

d. 24+-0.114

step-by-step explanation:

the question requires us to calculate the approximate 95% confidence interval for the mean number of ounces of ketchup per bottle in the sample given the following statistics;

sample mean = 24

standard deviation, σ = 0.4

sample size , n = 49

the confidence interval for a population mean is calculated using the formula;

sample mean ± z-score*(σ/sqrt(n))

the z-score associated with a 95% confidence interval, from the standard normal tables, is;

1.96

substituting these values into the formula;

24 ± 1.96*(0.4/7)

= 24 ± 0.112

from the alternatives given, choice d is closest to the above expression;