(03.01) is the following relation a function? x y −1 −2 2 3 3 1 6 −2

Yes. The relation is a function.

Step-by-step explanation:

We can say that the relations which were given for differents x,y's values is part of the same function because a function only allows having a x value for each y value.

At the same time, in a function, if we have the same y value for two differents values of x, it's ok. Like in the problem:

x, y

-1, -2

6, -2

It's permitted.

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;