What are the new vertices of parallelogram DEFG if the parallelogram is reflected across the vertical line x = -2, also graphed?

B

Step-by-step explanation:

Since x = - 2 is the line of reflection then the coordinates of the image will be the same distance in the x- direction from x = 2 but on the opposite side.

The y- coordinates of the points remain unchanged.

D is 3 units left of x = - 2 thus D' is 3 units to the right of x = - 2

E is 1 unit left of x = - 2 thus E' is 1 unit to the right of x = - 2

F is 1 unit left of x = - 2 thus F' is 1 unit to the right of x = - 2

G is 3 units left of x = - 2 thus G' is 3 units to the right of x = - 1

Thus

D(- 5, 5 ) → D'(1, 5 )

E(- 3, 3 ) → E'(- 1, 3 )

F(- 3, - 4 ) → F'(- 1, - 4 )

G(- 5, - 2 ) → G'(1, - 2 )

95.03 is the answer. hope this !

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;