Triangle ABC is graphed on a coordinate plane with vertices at A(-3, 7), B(9,-8), and C(-5, -6). If triangle ABC is dilated by a scale factor of 2 with the origin as the center of dilation to create A'B'C', what will be the coordinates of the dilated
vertex of B'?

  B' = (18, -16)

Step-by-step explanation:

Dilating means to stretch or shrink a figure. The scale factor tells us how much we are stretching or shrinking. The scale factor is 2, so the coordinates are multiplied by 2.

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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;