Two pencils and a ruler cost 98 cents in total. One pencil and 2 rulers cost $1.24 in total. Find the cost of each item.

2.16

Step-by-step explanation:

r = cost of ruler

p = cost of pencil

r = 2p

6r + 15p = 2.16

Substitute 2p in place of r in 2nd equation and solve for p

6(2p) + 15p = 2.16

12p + 15p = 2.16

27p = 2.16

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;

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