Answer:
<u><em>y = 63</em></u>
Step-by-step explanation:
<em>y is directly proportional to x²</em>
<em>As given,</em>
<em>when y = 3 => x = 2</em>
<em>So, 3 = 4 - 1</em>
<em>Which means the relation can be written as :-</em>
<em>y = x² - 1</em>
<em></em>
<em>Substituting x = 8</em>
<em>y = (8)² - 1</em>
<em>y = 64 - 1</em>
<u><em>y = 63</em></u>
Answer:
f(5) = 17
Step-by-step explanation:
f(x) = 3x + 2
f(5) = 3(5) + 2
f(5) = 15 + 2 = 17
Well,
If a + b = 0, then that means that a is the opposite of b. For example:
If a = 5, b = -5
You could also say that b = -a.
Answer:
Given two events A and B of a sample set :-
P[A] = 0.20
P[not B]=0.40
![P[B/A]=0.25](https://tex.z-dn.net/?f=P%5BB%2FA%5D%3D0.25)
To find P[A or B]:
![P[A or B] = P[A] + P[B] - P[A \cap B]](https://tex.z-dn.net/?f=P%5BA%20or%20B%5D%20%3D%20P%5BA%5D%20%2B%20P%5BB%5D%20-%20P%5BA%20%5Ccap%20B%5D)
......[1]
Calculate for ![P[B]](https://tex.z-dn.net/?f=P%5BB%5D)
and ![P[A \cap B]](https://tex.z-dn.net/?f=P%5BA%20%5Ccap%20B%5D)
P[B] = 1- P[not B]
Substitute the value P[not B] we get;
P[B] = 1-0.40 = 0.60
![P[A \cap B] = P[B/A] \cdot P[A]](https://tex.z-dn.net/?f=P%5BA%20%5Ccap%20B%5D%20%3D%20P%5BB%2FA%5D%20%5Ccdot%20P%5BA%5D)
Substitute the given values we get;
![P[A \cap B] = 0.25 \cdot 0.20 = 0.05](https://tex.z-dn.net/?f=P%5BA%20%5Ccap%20B%5D%20%3D%200.25%20%5Ccdot%200.20%20%3D%200.05)
Then;
![P[A or B] = 0.20+0.60-0.05 = 0.80-0.05 =0.75](https://tex.z-dn.net/?f=P%5BA%20or%20B%5D%20%3D%200.20%2B0.60-0.05%20%3D%200.80-0.05%20%3D0.75)
Therefore, the value of P[A or B] is, 0.75.
Answer:
-2.5
Step-by-step explanation:
-2.5 is greater.
