The shelter has 7 cats and 14 dogs. what is the ratio of cats to dogs

Ratio- 1:2 (cats: 1 / dogs: 2)

Step-by-step explanation:

If you look at this like a fraction it would be 7/14. When you simplify it down to it's unit rate you get 1/2. So if the question was 6 cats and 48 dogs the ration would be 1:8 ( 1 cat / 8 dogs ) :)

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;

h is the x-coordinate of the vertex

step-by-step explanation:

we have

in this function

the point represent the vertex of the function

so

h is the x-coordinate of the vertex

k is the y-coordinate of the vertex