Shonda was curious if segments \overline{WX} WX start overline, W, X, end overline and \overline{YZ} YZ start overline, Y, Z, end overline were congruent, so she tried to map one figure onto the other using transformations: Shonda concluded: "It's not possible to map \overline{WX} WX start overline, W, X, end overline onto \overline{YZ} YZ start overline, Y, Z, end overline using a sequence of rigid transformations, so the segments are not congruent." What error did Shonda make in her conclusion?

the first one, all those points on the line just make a strait line.

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;

really really sorry if i'm

-12 -5(x + 4) = 3x

-12 - 5x - 20 = 3x

-12 - 20 - 5x = 3x

-32 - 5x = 3x

    + 5x   + 5x

-32 = 8x

8         8

- 4= x