<u>7</u> <u>35</u> 4x35/7= 20 lawns<u>
</u>4 x<u>
</u>
Answer:
![(\frac{1}{2}, 2)](https://tex.z-dn.net/?f=%20%28%5Cfrac%7B1%7D%7B2%7D%2C%202%29%20)
Step-by-step explanation:
Using the midpoint formula,
, we can find the coordinates that represents the position of the ship at noon.
Let
(given on the coordinate plane)
(given also)
Plug in the values into the formula and solve as follows:
![M(\frac{-4 + 5}{2}, \frac{7 +(-3)}{2})](https://tex.z-dn.net/?f=%20M%28%5Cfrac%7B-4%20%2B%205%7D%7B2%7D%2C%20%5Cfrac%7B7%20%2B%28-3%29%7D%7B2%7D%29%20)
![M(\frac{1}{2}, \frac{7 - 3}{2})](https://tex.z-dn.net/?f=%20M%28%5Cfrac%7B1%7D%7B2%7D%2C%20%5Cfrac%7B7%20-%203%7D%7B2%7D%29%20)
![M(\frac{1}{2}, \frac{4}{2})](https://tex.z-dn.net/?f=%20M%28%5Cfrac%7B1%7D%7B2%7D%2C%20%5Cfrac%7B4%7D%7B2%7D%29%20)
![M(\frac{1}{2}, 2)](https://tex.z-dn.net/?f=%20M%28%5Cfrac%7B1%7D%7B2%7D%2C%202%29%20)
Position of the ship at noon is best represented at ![(\frac{1}{2}, 2)](https://tex.z-dn.net/?f=%20%28%5Cfrac%7B1%7D%7B2%7D%2C%202%29%20)
Part a)
The mean height is 69 inches with a standard deviation of 2.5 inches.
If we consider a interval of heights that relies on no more than two standard deviations from the mean, we will cover, approximatelly, 95% of men's heights. Then, we interval that we're looking for is:
Answer: 64 TO 74 INCHES
Part b)
Since [69,74] is half of the interval in the previous answer, we might expect half of 95% as the percentage of men who are in this interval. That is:
Answer: 47.5 PERCENT
Part c)
A interval of heights that relies on no more than one standard deviation from the mean covers, approximatelly, 68% of men's heights. Then, we can consider that the percentage of men that are between 64 and 66.5 inches is given by 47.5 - 68/2 = 13.5.
Answr: 13.5 PERCENT
Answer:
0.75
Step-by-step explanation:
i do not completely understand what you are asking.
The given population models for the trees is given as:
![\begin{gathered} A(t)=115(1.025)^t \\ B(t)=82(1.029)^t \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20A%28t%29%3D115%281.025%29%5Et%20%5C%5C%20B%28t%29%3D82%281.029%29%5Et%20%5Cend%7Bgathered%7D)
It is required to find which forest will have a greater number of trees after 20 years and by how many.
To do this substitute t=20 in the equations of the models:
![A(20)=115(1.025)^{20}\approx188](https://tex.z-dn.net/?f=A%2820%29%3D115%281.025%29%5E%7B20%7D%5Capprox188)
![B(20)=82(1.029)^{20}\approx145](https://tex.z-dn.net/?f=B%2820%29%3D82%281.029%29%5E%7B20%7D%5Capprox145)
Hence, forest A has a greater number of trees after 20 years.
Calculate the difference:
![188-145=43](https://tex.z-dn.net/?f=188-145%3D43)
It follows that forest A has a greater number of trees than forest B by 43 trees.
After 20 years, forest A has a greater number of trees than forest B by 43 trees.