Answer:
The answer is B (1 , 3) , (2 , 6) , (4 , 12) , (5 , 15)
Step-by-step explanation:
∵ X : 1 , 2 , 4 , 5
∵ Y : 3 , 6 , 12 , 15
∵ 2/6 = 1/3
∵ 4/12 = 1/3
∵ 5/15 = 1/3
∴ 1/3 = 2/6= 4/12 = 5/15 = 1/3 ⇒ all are proportion
∴ Answer B is in proportional relationship
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.
Answer:
8 feet
Step-by-step explanation:
it actually will be 8 feet
Base on the triangle below or in your problem, to calculate the x in the triangle having one angle measure 53 degree and the side measures 35 and the value of x is equals to 112.79. I hope you are satisfied with my answer and feel free to ask for more if you clarifications and further questions
