Jane is thirteen years younger than twice Ruby’s age. Nora is 5 years older than Ruby. If their ages sum to 52, find each girl’s age.

Ruby is 15, Jane is 17 and Nora is 20.

Step-by-step explanation:

Let x represent the age of Ruby.

Jane: 2x - 13

Ruby: x

Nora: x + 5

52 = (x) + (2x - 13) + (x + 5)

52 = x + 2x - 13 + x + 5

52 + 13 - 5 = x + 2x + x

60 = 4x

x = 15

Jane:

2(15) -13

= 17

Nora:

(15) + 5

= 20

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;

hello, there is a new name in town and that's the human spider!

answer: d.) the total number of protons and neutrons is 15

merry christmas!

~

your friendly neighborhood human spider! .