What is the distance between two points with coordinates at (8, 40) and (20, 5)?

37 units

Step-by-step explanation:

The two points form a right triangle so

a²+b²=c² so

(8-20)²(x values)+(40-5)²(y values)=c² (distance) so

12²+35²=c² so

144+1225=c²

1369=c²

c=37 units

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;