In ΔQRS, the measure of ∠S=90°, SR = 45, QS = 28, and RQ = 53. What is the value of the tangent of ∠Q to the nearest hundredth?

Aprox: 1.61

Step-by-step explanation:

TOA: Tan Q = Opposite/Adjacent = 45/28 ---> 1.61

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;