Please help me find the side to x

11.9

Step-by-step explanation:

You can use the formula tan(x) = opposite / adjacent

You have that:

the angle, or x, = 50

the adjacent side is 10

the opposite side is x

So plug those things into the equation:

tan(50) = x / 10

tan(50) * 10 = x

now, put this in a calculator

You get: 11.9 (after rounding)

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;