Matt's age is five years less less than the age of his sister, Hanna. Matt is 37 years old.

42

Step-by-step explanation:37+5

42 years

Step-by-step explanation:

His sister is 5 years older than him

37 + 5 = 42

x/3-10=8

x/3=18

x=48

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;