Answer:
0.6563 or 65.63% of brook trout caught will be between 12 and 18 inches
Step-by-step explanation:
Mean trout length (μ) = 14 inches
Standard deviation (σ) = 3 inches
The z-score for any given trout length 'X' is defined as:
e interval
For a length of X =12 inches:
![z=\frac{12-14}{3}\\z=-0.6667](https://tex.z-dn.net/?f=z%3D%5Cfrac%7B12-14%7D%7B3%7D%5C%5Cz%3D-0.6667)
According to a z-score table, a score of -0.6667 is equivalent to the 25.25th percentile of the distribution.
For a length of X =18 inches:
![z=\frac{18-14}{3}\\z=1.333](https://tex.z-dn.net/?f=z%3D%5Cfrac%7B18-14%7D%7B3%7D%5C%5Cz%3D1.333)
According to a z-score table, a score of 1.333 is equivalent to the 90.88th percentile of the distribution.
The proportion of trout caught between 12 and 18 inches, assuming a normal distribution, is the interval between the equivalent percentile of each length:
![P(12\leq X\leq 18) = 90.88\% - 25.25\%\\P(12\leq X\leq 18) = 65.63\%](https://tex.z-dn.net/?f=P%2812%5Cleq%20X%5Cleq%2018%29%20%3D%2090.88%5C%25%20-%2025.25%5C%25%5C%5CP%2812%5Cleq%20X%5Cleq%2018%29%20%3D%2065.63%5C%25)
There is a 1/3 chance both will land on 6.
Answer:
The length of line segment FG is equal to the length of F'G'
The perimeter of pentagon CDEFG is equal to the perimeter of pentagon C'D'E'F'G.
Step-by-step explanation:
Given
CDEFG and C'D'E'F'G
Translation: 7 units up and 5 units left
Solving (a): Segment FG and F'G'
When a shape is translated, the resulting image will have the same lengths as the original image (i.e, translation does not change measurements)
Hence:
![FG = F'G'](https://tex.z-dn.net/?f=FG%20%3D%20F%27G%27)
Solving (b): Perimeter CDEFG and C'D'EF'G'
In (a), we established that lengths do not change during translation;
Hence:
The perimeter of the CDEFG and C'D'EF'G' will remain the same
Hi there!
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I believe your answer is:
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Here’s why:
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I am assuming by the infomation given that the figure is a cube.
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![\boxed{\text{Finding the volume of the cube...}}\\\\S = 10mm; V= s^3\\--------------\\\rightarrow V = 10^3\\\\\rightarrow V = 10 * 10 * 10\\\\\rightarrow \boxed{V=1000\text{mm}^3}](https://tex.z-dn.net/?f=%5Cboxed%7B%5Ctext%7BFinding%20the%20volume%20of%20the%20cube...%7D%7D%5C%5C%5C%5CS%20%3D%2010mm%3B%20V%3D%20s%5E3%5C%5C--------------%5C%5C%5Crightarrow%20V%20%3D%2010%5E3%5C%5C%5C%5C%5Crightarrow%20V%20%3D%2010%20%2A%2010%20%2A%2010%5C%5C%5C%5C%5Crightarrow%20%5Cboxed%7BV%3D1000%5Ctext%7Bmm%7D%5E3%7D)
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Hope this helps you. I apologize if it’s incorrect.