James types 25 words per minute. He spends 15 minutes typing his homework. What is the domain of this situation? 1. (all numbers between and including 0 and 15)
2. (all numbers between and including 0 and 25)
3. Call numbers between 0 and 15)
4. (all numbers between 0 and 25)

1. All numbers between, including 0 and 15.

Step-by-step explanation:

The domain is the independent variable (x), so in this case, it's be the amount of time James spent typing. James types for 15 minutes, so of course 0 and 15 have to be included, as it'll give a complete graph of what he's done so far.

the answer to the question is a  

it has the same slope and the same y-intercept.

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;