Answer:
∠B = 60°
a = 4.0 units
b = 6.9 units
Step-by-step explanation:
The triangle is right angled. The sum of all angles of a triangle is equal to 180 degrees.
The 3 angles are 90, 30 , ∠B .
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Thus, B = 180 - 120 = 60 degrees
by trigonometry,
sin(30) = = 0.5
a = (8)(0.5) = 4 units
Also,
cos(30) = = 0.866
b = (8)(0.866)= 6.928
Answer:
a. Fred's margin of error is larger than Ted's.
Step-by-step explanation:
Margin of error of a confidence interval:
In which z is related to the confidence level(the higher the confidence level the larger the value of z) is the standard deviation of the population and n is the size of the sample.
From this, we have that:
A higher confidence level leads to a larger margin of error.
A larger sample size leads to a smaller margin of error.
In this question:
Same confidence level.
Fred's sample is smaller, so his margin of error will be larger.
The correct answer is given by option a.
Answer:
Step-by-step explanation:
Assuming the decay factor, m = 0.0005
f(x) =
f(9000) = = 1 - 0.0111 = 0.99