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Nonamiya [84]
3 years ago
7

I'm really lost on this problem

Mathematics
1 answer:
Alenkinab [10]3 years ago
5 0
Since you need a little bit of trigonometry to solve this problem,
I'm pretty sure you've had a little bit of trigonometry in class before
you were assigned to solve this problem.

-- The shaded triangle comes from taking the equilateral triangle and
either folding it in half or cutting it in half.

-- The base that the new triangle is standing on is 1/2 the base of the
equilateral triangle, so it's 7 cm long.

-- The acute angle at the right end of the base is the same as it was in
the equilateral triangle . . . 60 degrees.

--  The tangent of 60 degrees is (opposite side)/(adjacent side) = x / 7 cm

              tan(60) = x/7

-- Multiply each side of this little equation by 7 :   7 tan(60) = x
 
If you don't have the tangent of 60 degrees in your pocket, you can
find it with your calculator.  Multiply it by 7, and Shazam, you know 'x' .
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The average life of individual is 70 years. With a standard deviation of 5.5 years. Assume that the lives of these individuals i
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The answer is below

Step-by-step explanation:

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z=\frac{x-\mu}{\sigma}, for a sample size of n, the z score is: z=\frac{x-\mu}{\sigma/\sqrt{n} }

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z=\frac{x-\mu}{\sigma/\sqrt{n} }=\frac{60-70}{5.5/\sqrt{5} } =-4.07

For x = 80:

z=\frac{x-\mu}{\sigma/\sqrt{n} }=\frac{80-70}{5.5/\sqrt{5} } =4.07

The probability that a mean life of a random sample of 5 such turtles falls between 60 and 80 years = P(60 < x < 80) = P(-4.07 < z < 4.07) = P(z < 4.07) - P(z < -4.07) = 1 - 0 = 1 = 100%

b) The z score that corresponds to top 10% is -1.28.

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