<span>The problem says that the distance D to the horizon is directly proportional to the square root of the elevation E of the observer, so:
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The person who is 36 feet above the water ⇒ √36=6
A person 49 feet above the water ⇒ √49=7
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So, by proportions, you have:
(7/6)x7.4= 8.63 miles
Therefore, the answer is: </span><span>a person 49 feet above the water can see 8.63 miles</span><span> </span>
Step-by-step explanation:
you should try multiplying all the sides and don't forget that a triangle is base times height and divided by two
<h3>
Answer: 300</h3>
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Explanation:
One general template of exponential functions is
f(x) = a*(b)^x
The 'a' is the initial amount, which in this case is a = 300
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Extra info:
The b is the base of the exponential, which is b = 1.16
The value of b is helpful to determine if you have exponential growth or decay, and how much of either. Because b = 1.16 is greater than 1, it indicates exponential growth. The rate of growth is found by solving 1+r = 1.16 to get r = 0.16, which leads to 16% growth.
The sample size must be 543 so the sample proportion is will not differ by 5%
We are given the following in the question:
Margin of error = 5%
Confidence interval:
p ±z√(p'(1 - p')/n)
Margin of error =
p = ±z√(p'(1 - p')/n)
Since no particular proportion is given, we take
p' = 0.5
Z critical at α 0.02 is ± 2.33
Putting values, we get,
p = ±z√(p'(1 - p')/n)
2.33 x √(0.5(1 - 0.5)/n)
√n = 2.33x 0.5/0.05
n = 542.89 = 543
Thus, the sample size must be 543 so the sample proportion is will not differ by 5%
To learn more about confidence interval refer here
brainly.com/question/15712887
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(3 + 5i)(4 + 4i)=12 + 12i + 20i -20
The answer is: -8 + 32i
