4
74
Solve the inequality 2(4x + 1) <3(2x - 3)

Step-by-step explanation:

2(4x + 1) < 3(2x - 3)

8x + 2 < 6x - 9

8x - 6x < -9 -2

2x < -11

x < -11/2

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;

b

step-by-step explanation: