Point Z is the incenter of ΔWXY. Point Z is the incenter of triangle W X Y. Lines are drawn from point Z to the sides of the triangle to form line segments Z B, Z C, and Z A.
Which statements are true? Check all that apply.

m∠ZYX = m∠ZXY
ZX bisects ∠WXY
BZ = WZ
The circle inscribed in ΔWXY will have a center at point Z.
Point Z is equidistant from the sides of ΔWXY.

1. 34

2. 268

3. x=14.4

step-by-step explanation:

22

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;