The scale of a map is 1 : 100,000. The distance between two houses on the map is 3.2 cm. Find the actual distance, in kilometers, between the two houses?

The actual distance between the two houses is:

3.2 km

Step-by-step explanation:

Proportions:

1cm       ⇔  100000 cm

3.2 cm  ⇔  W cm

W = 3.2*100000/1

W = 320000 cm

1 km = 100000 cm

320000cm = 320000/100000 = 3.2km

mx+89b(-98)nb

step-by-step explanation:

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;