1 Let y = 5x + 4.
Which of the following options represents the same equation, but solved for x?
A X = 5y + 4
B X=y - 4/5
C Y-4=5x
D X= y-4/5

D

Step-by-step explanation:

y= 5x + 4 ---> given equation

5x = y - 4 ---> subtract 4 to get 5x by itself

x = y/5 - 4/5 ---> divide by 5 to get x by itself

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;