Item 2 Which expression is equivalent to 24y^2+6y?
6y(4y+1)

−6y(4y−1)

−6y(4y+1)

6y(4y−1)

first option

Step-by-step explanation:

6y(4y + 1)

distribute the 6y:  6y(4y) + 1(6y)

                              24 + 6y

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;

54.667> 54.666

17.889< 17.899

these are both true