Rectangle ABCD is undergoing a series of transformations. Which of the following transformations will NOT cause the resulting rectangle A'B'C'D' to maintain congruence with rectangle ABCD? A. Dilation by a scale factor of 3, then dilation by a scale factor of 3 B. Translation 4 units right, then translation 6 units up C. Translation 3 units left, then translation 7 units down D. Dilation by a scale factor of 2, then dilation by a scale factor of 0.5

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;

the answer is a) y= 2 csc [0.5 (x+pi/2)]-1

step-by-step explanation:

answer: the answer for that is 22/3

12r - 8 - 12

you have to combine like terms. below i have bolded the like terms:

12r - 8 - 12

together it combines to:

12r - 20

hope this !