A straight line = 180 degrees.
Subtract the 2 known angles from 180:
180 - 112 - 38 = 30 degrees
Answer and Step-by-step explanation:
we have the following data:
Point estimate = sample mean = \ bar x = 12.39
Population standard deviation = \ sigma = 3.7
Sample size = n = 177
a) the margin of error with a 90% confidence interval
α = 1 - 90%
alpha = 1 - 0.90 = 0.10
alpha / 2 = 0.05
Z \ alpha / 2 = Z0.05 = 1,645
Margin of error = E = Z \ alpha / 2 * (\ sigma / \ sqrtn)
we replace:
E = 1.645 * (3.7 / \ sqrt177)
Outcome:
E = 0.46
b) margin of error with a 99% confidence interval
α = 1-99%
alpha = 1 - 0.99 = 0.01
alpha / 2 = 0.005
Z \ alpha / 2 = Z0.005 = 2,576
Margin of error = E = Z \ alpha / 2 * (\ sigma / \ sqrtn)
we replace:
E = 2,576 * (3.7 / \ sqrt177)
Outcome:
E = 0.72
c) A larger confidence interval value will increase the margin of error.
I wrote the steps down, hopefully you understand them and the answer is on the lower right corner.
Answer:
SA = 664 in.²
Step-by-step explanation:
Surface area of the rectangular prism = 2(LW + LH + WH)
Where,
Length (L) = 16 in.
Width (W) = 5 in.
Height (H) = 12 in.
Substitute the values
Surface area of the rectangular prism = 2(16*5 + 16*12 + 5*12)
= 2(80 + 192 + 60)
= 2(332)
= 664 in.²
