Answer:
Tisco
Step-by-step explanation:
T=1.65x4 is 6.6
A=1.36x5 is 6.8
6.8>6.6
sry if wrong
Answer:
<h2>$39,000</h2>
Step-by-step explanation:
Look at the picture.
To find the Median, place the numbers in value order and find the middle number (right picture).
Median = $39,000
The Solution:
Given:
Required:
Find the standard deviation of the probability distribution.
Step 1:
Find the expected value of the probability distribution.
![E(x)=\mu=\sum_{i\mathop{=}0}^3x_iP_(x_i)](https://tex.z-dn.net/?f=E%28x%29%3D%5Cmu%3D%5Csum_%7Bi%5Cmathop%7B%3D%7D0%7D%5E3x_iP_%28x_i%29)
![\begin{gathered} \mu=(0\times0.25)+(1\times0.05)+(2\times0.15)+(3\times0.55) \\ \\ \mu=0+0.05+0.30+1.65=2.0 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20%5Cmu%3D%280%5Ctimes0.25%29%2B%281%5Ctimes0.05%29%2B%282%5Ctimes0.15%29%2B%283%5Ctimes0.55%29%20%5C%5C%20%20%5C%5C%20%5Cmu%3D0%2B0.05%2B0.30%2B1.65%3D2.0%20%5Cend%7Bgathered%7D)
Step 2:
Find the standard deviation.
![Standard\text{ Deviation}=\sqrt{\sum_{i\mathop{=}0}^3(x_i-\mu)^2P_(x_i)}](https://tex.z-dn.net/?f=Standard%5Ctext%7B%20Deviation%7D%3D%5Csqrt%7B%5Csum_%7Bi%5Cmathop%7B%3D%7D0%7D%5E3%28x_i-%5Cmu%29%5E2P_%28x_i%29%7D)
![=(0-2)^2(0.25)+(1-2)^2(0.05)+(2-2)^2(0.15)+(3-2)^2(0.55)](https://tex.z-dn.net/?f=%3D%280-2%29%5E2%280.25%29%2B%281-2%29%5E2%280.05%29%2B%282-2%29%5E2%280.15%29%2B%283-2%29%5E2%280.55%29)
![=4(0.25)+1(0.05)+0(0.15)+1(0.55)](https://tex.z-dn.net/?f=%3D4%280.25%29%2B1%280.05%29%2B0%280.15%29%2B1%280.55%29)
![=1+0.05+0+0.55=1.60](https://tex.z-dn.net/?f=%3D1%2B0.05%2B0%2B0.55%3D1.60)
Thus, the standard deviation is 1.60
Answer:
1.60
<h3>
<u>Explanation</u><u>:</u></h3>
- Calculate the slope with two given coordinate points by using rise over run.
![m = \frac{y_2 - y_1}{x_2 - x_1}](https://tex.z-dn.net/?f=m%20%3D%20%20%5Cfrac%7By_2%20-%20y_1%7D%7Bx_2%20-%20x_1%7D%20)
Let these points
![\begin{cases}(x_1, y_1) = ( - 4, - 1) \\ (x_2, y_2) = ( 2, 8) \end{cases}](https://tex.z-dn.net/?f=%20%5Cbegin%7Bcases%7D%28x_1%2C%20y_1%29%20%3D%20%28%20-%204%2C%20%20-%201%29%20%5C%5C%20%28x_2%2C%20y_2%29%20%3D%20%28%202%2C%20%208%29%20%5Cend%7Bcases%7D)
![m = \frac{8 - ( - 1)}{2 - ( - 4)} \\ m = \frac{8 + 1}{2 + 4} \Longrightarrow \frac{9}{6} \Longrightarrow \frac{3}{2} \\ m = \frac{3}{2}](https://tex.z-dn.net/?f=m%20%3D%20%20%5Cfrac%7B8%20-%20%28%20-%201%29%7D%7B2%20-%20%28%20-%204%29%7D%20%20%5C%5C%20m%20%3D%20%20%5Cfrac%7B8%20%2B%201%7D%7B2%20%2B%204%7D%20%20%5CLongrightarrow%20%5Cfrac%7B9%7D%7B6%7D%20%20%5CLongrightarrow%20%5Cfrac%7B3%7D%7B2%7D%20%20%5C%5C%20m%20%3D%20%20%5Cfrac%7B3%7D%7B2%7D%20)
![y = mx + b \\ m = slope \\ b = y - intercept](https://tex.z-dn.net/?f=y%20%3D%20mx%20%2B%20b%20%5C%5C%20m%20%3D%20slope%20%5C%5C%20b%20%3D%20y%20-%20intercept)
Substitute the value of m in the equation.
![y = \frac{3}{2} x + b](https://tex.z-dn.net/?f=y%20%3D%20%20%5Cfrac%7B3%7D%7B2%7D%20x%20%2B%20b)
- Substitute any coordinate points that are given or part of the graph in the equation.
![(x_, y) = ( - 4, - 1)](https://tex.z-dn.net/?f=%28x_%2C%20y%29%20%3D%20%28%20-%204%2C%20%20-%201%29)
![- 1 = \frac{3}{2} ( - 4) + b](https://tex.z-dn.net/?f=%20-%201%20%3D%20%20%5Cfrac%7B3%7D%7B2%7D%20%28%20-%204%29%20%2B%20b)
- Solve the equation for b-term.
![- 1 = \frac{3}{ \cancel{2}} ( \cancel{ - 4}) + b\\ - 1 = 3( - 2) + b \\ - 1 = - 6 + b \\ - 1 + 6 = b \\ 5 = b](https://tex.z-dn.net/?f=%20-%201%20%3D%20%20%5Cfrac%7B3%7D%7B%20%5Ccancel%7B2%7D%7D%20%28%20%5Ccancel%7B%20-%204%7D%29%20%20%20%2B%20b%5C%5C%20%20-%201%20%3D%203%28%20-%202%29%20%2B%20b%20%5C%5C%20%20-%201%20%3D%20%20-%206%20%2B%20b%20%5C%5C%20%20-%201%20%2B%206%20%3D%20b%20%5C%5C%205%20%3D%20b)
- Rewrite the equation by substituting the value of b in the equation.
![y = \frac{3}{2} x + 5](https://tex.z-dn.net/?f=y%20%3D%20%20%5Cfrac%7B3%7D%7B2%7D%20x%20%2B%205)
<h3>
<u>Answer</u></h3>
![\large \boxed{y = \frac{3}{2} x + 5}](https://tex.z-dn.net/?f=%20%5Clarge%20%5Cboxed%7By%20%3D%20%20%5Cfrac%7B3%7D%7B2%7D%20x%20%2B%205%7D)
<em>If</em><em> </em><em>you</em><em> </em><em>have</em><em> </em><em>any</em><em> </em><em>questions</em><em> </em><em>related</em><em> </em><em>to</em><em> </em><em>the</em><em> </em><em>answer</em><em>,</em><em> </em><em>feel</em><em> </em><em>free</em><em> </em><em>to</em><em> </em><em>ask</em><em> </em><em>via</em><em> </em><em>comment</em><em>.</em>
Convert the mixed number <span>21 <span>2/3</span></span><span> into an </span><span>improper fraction.
</span>15⋅<span>65/3
</span><span>Cancel 3 and 15.
</span><span>5⋅65
</span>Multiply 5<span> by </span>65<span> to get </span><span>325.
</span>325
Answer:
325