Use trigonometry to find your answer
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.
A is the answer because it is the widest variety
Answer:
Step-by-step explanation:
From the given right angle triangle,
the hypotenuse of the right angle triangle is 13
With m∠65° as the reference angle,
y represents the adjacent side of the right angle triangle.
x represents the opposite side of the right angle triangle.
To determine the value of x, we would apply the sine trigonometric ratio which is expressed as
Sin θ = opposite side/hypotenuse. Therefore,
Sin 65 = x/13
x = 13Sin65 = 13 × 0.906
x = 11.8 to the nearest tenth