In this case, The amount of money she saved.
Answer:
f(-2) = -1
Step-by-step explanation:
-2 is x, so replace x as -2 into the equation
f (-2) = 2(-2) + 3
f (-2) = -4 + 3
f (-2) = -1
The answer should be 78. 57%
Answer:
The unusual
values for this model are: ![X = 0, 1, 2, 7, 8](https://tex.z-dn.net/?f=X%20%3D%200%2C%201%2C%202%2C%207%2C%208)
Step-by-step explanation:
A binomial random variable
represents the number of successes obtained in a repetition of
Bernoulli-type trials with probability of success
. In this particular case,
, and
, therefore, the model is
. So, you have:
![P (X = 0) = {8 \choose 0} (0.53) ^ {0} (0.47) ^ {8} = 0.0024](https://tex.z-dn.net/?f=P%20%28X%20%3D%200%29%20%3D%20%7B8%20%5Cchoose%200%7D%20%280.53%29%20%5E%20%7B0%7D%20%280.47%29%20%5E%20%7B8%7D%20%3D%200.0024)
![P (X = 1) = {8 \choose 1} (0.53) ^ {1} (0.47) ^ {7} = 0.0215](https://tex.z-dn.net/?f=%20P%20%28X%20%3D%201%29%20%3D%20%7B8%20%5Cchoose%201%7D%20%280.53%29%20%5E%20%7B1%7D%20%280.47%29%20%5E%20%7B7%7D%20%3D%200.0215)
![P (X = 2) = {8 \choose 2} (0.53)^2 (0.47)^6 = 0.0848](https://tex.z-dn.net/?f=%20P%20%28X%20%3D%202%29%20%3D%20%7B8%20%5Cchoose%202%7D%20%280.53%29%5E2%20%280.47%29%5E6%20%3D%200.0848)
![P (X = 3) = {8 \choose 3} (0.53) ^ {3} (0.47)^5 = 0.1912](https://tex.z-dn.net/?f=%20P%20%28X%20%3D%203%29%20%3D%20%7B8%20%5Cchoose%203%7D%20%280.53%29%20%5E%20%7B3%7D%20%280.47%29%5E5%20%3D%200.1912)
![P (X = 4) = {8 \choose 4} (0.53) ^ {4} (0.47)^4} = 0.2695](https://tex.z-dn.net/?f=%20P%20%28X%20%3D%204%29%20%3D%20%7B8%20%5Cchoose%204%7D%20%280.53%29%20%5E%20%7B4%7D%20%280.47%29%5E4%7D%20%3D%200.2695)
![P (X = 5) = {8 \choose 5} (0.53) ^ {5} (0.47)^3 = 0.2431](https://tex.z-dn.net/?f=%20P%20%28X%20%3D%205%29%20%3D%20%7B8%20%5Cchoose%205%7D%20%280.53%29%20%5E%20%7B5%7D%20%280.47%29%5E3%20%3D%200.2431)
![P (X = 6) = {8 \choose 6} (0.53) ^ {6} (0.47)^2 = 0.1371](https://tex.z-dn.net/?f=%20P%20%28X%20%3D%206%29%20%3D%20%7B8%20%5Cchoose%206%7D%20%280.53%29%20%5E%20%7B6%7D%20%280.47%29%5E2%20%3D%200.1371)
![P (X = 7) = {8 \choose 7} (0.53) ^ {7} (0.47)^ {1} = 0.0442](https://tex.z-dn.net/?f=%20P%20%28X%20%3D%207%29%20%3D%20%7B8%20%5Cchoose%207%7D%20%280.53%29%20%5E%20%7B7%7D%20%280.47%29%5E%20%7B1%7D%20%3D%200.0442)
![P (X = 8) = {8 \choose 8} (0.53)^{8} (0.47)^{0} = 0.0062](https://tex.z-dn.net/?f=%20P%20%28X%20%3D%208%29%20%3D%20%7B8%20%5Cchoose%208%7D%20%280.53%29%5E%7B8%7D%20%280.47%29%5E%7B0%7D%20%3D%200.0062)
The unusual
values for this model are: ![X = 0, 1, 7, 8](https://tex.z-dn.net/?f=X%20%3D%200%2C%201%2C%207%2C%208)
Answer:
0.6 °C/min
Step-by-step explanation:
The relationship between rates and movement is ...
time = distance/speed
Here, the "distance" is measured in °C, and the "speed" is the rate of change of temperature.
For the first half of the heating, the time required is ...
(50°C -0°C)/(1.5 °C/min) = 50/(3/2) min = 100/3 min
For the second half of the heating, the time required is ...
(100°C -50°C)/(4/10 °C/min) = 50/(4/10) = 125 min
Then the total time is ...
((100/3) +125) min = (475/3) min
And the average rate of temperature increase is ...
total temperature change / total time
= (100°C -0°C)/(475/3 min) = 300/475 °C/min = 12/19 °C/min ≈ 0.6 °C/min