Answer:
169 m
Step-by-step explanation:
See the image below.
Line AB represents the monument and line BC its shadow
Line DB represents the man and Line BE it shadow.
The Sun’s rays are parallel, so AC||DE.
Then ∆ABC ~ ∆DBE
AB:BC::DB:BE
x/65.8 = 1.8/0.7 Multiply both sides by 65.8
x = 65.6 × 1.8/0.7
x = 65.6 × 2.571
x = 169 m
The height of the Washington monument is 169 m.
Answer:
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Step-by-step explanation:
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Solution: We are given:
![\mu=600, \sigma =120](https://tex.z-dn.net/?f=%5Cmu%3D600%2C%20%5Csigma%20%3D120)
We need to find the z value corresponding to probability 0.84, in order to find the how much money almost 84% of gamblers spent at casino.
Using the standard normal table, we have:
![z(0.85) = 0.9945](https://tex.z-dn.net/?f=z%280.85%29%20%3D%200.9945)
Now we will use the z score formula to find the required amount:
![z=\frac{x-\mu}{\sigma}](https://tex.z-dn.net/?f=z%3D%5Cfrac%7Bx-%5Cmu%7D%7B%5Csigma%7D)
![0.9945=\frac{x-600}{120}](https://tex.z-dn.net/?f=0.9945%3D%5Cfrac%7Bx-600%7D%7B120%7D)
![0.9945 \times 120 = x - 600](https://tex.z-dn.net/?f=0.9945%20%5Ctimes%20120%20%3D%20x%20-%20600)
![119.34 = x - 600](https://tex.z-dn.net/?f=119.34%20%3D%20x%20-%20600)
![x = 719.34](https://tex.z-dn.net/?f=x%20%3D%20719.34)
approximately
Therefore, almost 84% of gamblers spent more than $720 amount of money at this casino.