ANSWER:
x = -3
Step-by-step explanation:
55+54+x+74=180
109+x+74=180
183 + x = 180
x = -3
Answer:
C. 15 Miles
Step-by-step explanation:
3 multiplied by 5 is 15 :)
Answer:
44.5%
Step-by-step explanation:
THis is because 4/9x100=44.5, which means that 44.5% of the tiles are white
Answer:
3
Step-by-step explanation:
Answer:
(a)
![\begin{array}{cccc}{X} & {-\$1.00} & {\$0.00} & {\$4.00} \ \\ {P(X)} & {0.75} & {0.125} & {0.125} & \ \end{array}](https://tex.z-dn.net/?f=%5Cbegin%7Barray%7D%7Bcccc%7D%7BX%7D%20%26%20%7B-%5C%241.00%7D%20%26%20%7B%5C%240.00%7D%20%26%20%7B%5C%244.00%7D%20%20%5C%20%5C%5C%20%7BP%28X%29%7D%20%26%20%7B0.75%7D%20%26%20%7B0.125%7D%20%26%20%7B0.125%7D%20%26%20%5C%20%5Cend%7Barray%7D)
(b)
![E(x) = -\$0.25](https://tex.z-dn.net/?f=E%28x%29%20%3D%20-%5C%240.25)
Step-by-step explanation:
Given
See attachment for spinner
Solving (a): Complete the table
The amount paid is: $1
From the attached image, we have:
$0 = 6; $1 = 1; $5 = 1
To get the profit, we subtract $1 from the possible outcomes of the spinner.
So, we have:
-$1.00 = 6; $0.00 = 1; $4.00 = 1
The probability of each is then calculated as:
![P(-\$1.00) = \frac{6}{8} = 0.75](https://tex.z-dn.net/?f=P%28-%5C%241.00%29%20%3D%20%5Cfrac%7B6%7D%7B8%7D%20%3D%200.75)
![P(-\$0.00) = \frac{1}{8} = 0.12](https://tex.z-dn.net/?f=P%28-%5C%240.00%29%20%3D%20%5Cfrac%7B1%7D%7B8%7D%20%3D%200.12)
![P(-\$4.00) = \frac{1}{8} = 0.12](https://tex.z-dn.net/?f=P%28-%5C%244.00%29%20%3D%20%5Cfrac%7B1%7D%7B8%7D%20%3D%200.12)
So, the complete table is:
![\begin{array}{cccc}{X} & {-\$1.00} & {\$0.00} & {\$4.00} \ \\ {P(X)} & {0.75} & {0.125} & {0.125} & \ \end{array}](https://tex.z-dn.net/?f=%5Cbegin%7Barray%7D%7Bcccc%7D%7BX%7D%20%26%20%7B-%5C%241.00%7D%20%26%20%7B%5C%240.00%7D%20%26%20%7B%5C%244.00%7D%20%20%5C%20%5C%5C%20%7BP%28X%29%7D%20%26%20%7B0.75%7D%20%26%20%7B0.125%7D%20%26%20%7B0.125%7D%20%26%20%5C%20%5Cend%7Barray%7D)
Solving (b): The expected profit E(x)
This is calculated as:
![E(x) = \sum x * P(x)](https://tex.z-dn.net/?f=E%28x%29%20%3D%20%5Csum%20x%20%2A%20P%28x%29)
![E(x) = -1.00 * 0.75 + 0.00 * 0.125 + 4 * 0.125](https://tex.z-dn.net/?f=E%28x%29%20%3D%20-1.00%20%2A%200.75%20%2B%200.00%20%2A%200.125%20%2B%204%20%2A%200.125)
![E(x) = -\$0.25](https://tex.z-dn.net/?f=E%28x%29%20%3D%20-%5C%240.25)