Lis the midpoint of mn, ml=2x+7 and ln=3x−3. find ml, ln, and mn.

27,27,54.

Step-by-step explanation:

ML +LN = MN

2x+7 + 3x-3 = 5x+4

now, if 5x+4 = 54,

∴, x = 10

∴, 2x+7 = 27 = ML

and, 3x-3 = 27 = LN

and, MN = 54

60%

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;