Which equation has a constant of proportionality equal to 3? a. Choice A y= 5 8 xy, equals, start fraction, 8, divided by, 5, end fraction, x (Choice B) B y=\dfrac{1}{3}xy= 3 1 xy, equals, start fraction, 1, divided by, 3, end fraction, x (Choice C) C y=\dfrac{1}{4}xy= 4 1 xy, equals, start fraction, 1, divided by, 4, end fraction, x (Choice D) D y=\dfrac{18}{6}xy= 6 18 x

5 pm

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;

there is only one way to arrange all the eight relative to each other because they are not distinct. we have

now there are nine places to place an (and not more than one in one place).   because we have four symbols, we need to choose four of these nine places to insert an . order does not matter because the are not distinct.

thus there are 1 · c(9,4) ways, or, if we calculate it,

thus there are 126 ways to form such "words."