Answer:
The length is of 59 cm.
Step-by-step explanation:
Perimeter of a rectangle:
The perimeter of a rectangle with width w and length l is given by:
![P = 2(w + l)](https://tex.z-dn.net/?f=P%20%3D%202%28w%20%2B%20l%29)
Width of 49 centimeters and a perimeter of 216 centimeters:
This means that ![w = 49, P = 216](https://tex.z-dn.net/?f=w%20%3D%2049%2C%20P%20%3D%20216)
The length is cm.
We have to solve the equation for l. So
![P = 2(w + l)](https://tex.z-dn.net/?f=P%20%3D%202%28w%20%2B%20l%29)
![216 = 2(49 + l)](https://tex.z-dn.net/?f=216%20%3D%202%2849%20%2B%20l%29)
![216 = 98 + 2l](https://tex.z-dn.net/?f=216%20%3D%2098%20%2B%202l)
![2l = 118](https://tex.z-dn.net/?f=2l%20%3D%20118)
![l = \frac{118}{2}](https://tex.z-dn.net/?f=l%20%3D%20%5Cfrac%7B118%7D%7B2%7D)
![l = 59](https://tex.z-dn.net/?f=l%20%3D%2059)
The length is of 59 cm.
Answer:
14.656%
Step-by-step explanation:
Data provided in the question:
Rate of return, r = 4% = 0.04
Risk aversion of A = 1.85
Standard deviation, σ = 24%
Now,
we have the relation
A = (E - r) ÷ σ²
E = expected return on portfolio
r = Risk free rate
on substituting the respective values, we get
1.85 = (E - 0.04) ÷ (0.24)²
or
0.0576 × 1.85 = (E - 0.04)
or
0.10656 + 0.04 = E
or
E = 0.14656 or
E = 0.14656 × 100% = 14.656%
Answer:
See Explanation
Step-by-step explanation:
Given
--- Number of tryouts
Required
Determine the average distance
<em>This question has missing details, as the distance he hits the ball in each tryout is not given. However, I'll give a general explanation.</em>
<em></em>
The mean is calculated as:
![\bar x = \frac{\sum x}{n}](https://tex.z-dn.net/?f=%5Cbar%20x%20%3D%20%5Cfrac%7B%5Csum%20x%7D%7Bn%7D)
means the sum of the distance in each tryout.
Assume that the distance in the 10 tryouts are: ![6, 8, 5, 9, 4, 5, 8, 7, 7, 6.](https://tex.z-dn.net/?f=6%2C%208%2C%205%2C%209%2C%204%2C%205%2C%208%2C%207%2C%207%2C%206.)
So, the mean is:
![\bar x = \frac{6+ 8+ 5+ 9+ 4+ 5+ 8+ 7+ 7+ 6}{10}](https://tex.z-dn.net/?f=%5Cbar%20x%20%3D%20%5Cfrac%7B6%2B%208%2B%205%2B%209%2B%204%2B%205%2B%208%2B%207%2B%207%2B%206%7D%7B10%7D)
![\bar x = \frac{65}{10}](https://tex.z-dn.net/?f=%5Cbar%20x%20%3D%20%5Cfrac%7B65%7D%7B10%7D)
![\bar x = 6.5}](https://tex.z-dn.net/?f=%5Cbar%20x%20%3D%206.5%7D)
<em>So, the average distance is 6.5</em>
Step-by-step explanation:
1. -9x - 3 - 3 + 2x
-7x - 6
3. 3 - 4x - 7x - 2
-11x - 1
4. 5x - 1 + 3 + 2x
7x + 2
Answer:
y= 25x+500
y=30x+400
20
standard machine
Step-by-step explanation:
just did it on edge!! :D