Your thoughts are correct; Ned loses 14 points overall.
The reason the correctly answered questions do not factor into the answer is because that is not what the question is asking. Correct answers are not even mentioned :)
Answer:
Distance
2.23606797749979
Midpoint
(3.5,0)
Slope
2
x intercept
3.50
y intercept
−7.00
Step-by-step explanation:
Answer:
<u>infinitely many solutions</u>
Step-by-step explanation:
The system of equations :
- 3x + 2y = 7
- -4.5x - 3y = -10.5
Multiplying Equation 1 times 3 and Equation 2 times 2 :
- 9x + 6y = 21
- -9x - 6y = -21
Putting the equations in standard form after simplifying :
- 6y = -9x + 21 ⇒ <u>y = -1.5x + 3.5</u>
- -6y = 9x - 21 ⇒ <u>y = -1.5x + 3.5</u>
<u />
As both equations are the same, the system will have <u>infinitely many solutions</u>.
Answer:
![P(Dogs) = 0.2025](https://tex.z-dn.net/?f=P%28Dogs%29%20%3D%200.2025)
Step-by-step explanation:
Given
![Proportion, p = 45\%](https://tex.z-dn.net/?f=Proportion%2C%20p%20%3D%2045%5C%25)
Required
Probability of two people having dog
First, we have to convert the given parameter to decimal
![p = \frac{45}{100}](https://tex.z-dn.net/?f=p%20%3D%20%5Cfrac%7B45%7D%7B100%7D)
![p = 0.45](https://tex.z-dn.net/?f=p%20%3D%200.45)
Let P(Dogs) represent the required probability;
This is calculated as thus;
<em>P(Dogs) = Probability of first person having a dog * Probability of second person having a dog</em>
<em />
![P(Dogs) = p * p](https://tex.z-dn.net/?f=P%28Dogs%29%20%3D%20p%20%2A%20p)
![P(Dogs) = 0.45 * 0.45](https://tex.z-dn.net/?f=P%28Dogs%29%20%3D%200.45%20%2A%200.45)
![P(Dogs) = 0.45^2](https://tex.z-dn.net/?f=P%28Dogs%29%20%3D%200.45%5E2)
![P(Dogs) = 0.2025](https://tex.z-dn.net/?f=P%28Dogs%29%20%3D%200.2025)
<em>Hence, the probability of 2 people having a dog is </em>
<em />