It would be number 4 because it would be the difference between a number that is multiplied by two and the number with the addition of 5 all equal to 3.
Answer:
the equality shown is : x is greater than or equal to -3.
Answer:![P\left ( A\right )=0.45](https://tex.z-dn.net/?f=P%5Cleft%20%28%20A%5Cright%20%29%3D0.45)
![P\left ( B\right )=0.32](https://tex.z-dn.net/?f=P%5Cleft%20%28%20B%5Cright%20%29%3D0.32)
Step-by-step explanation:
Given
![P\left ( A\cup B\right )=0.626](https://tex.z-dn.net/?f=P%5Cleft%20%28%20A%5Ccup%20B%5Cright%20%29%3D0.626)
![P\left ( A\cap B\right )=0.144](https://tex.z-dn.net/?f=P%5Cleft%20%28%20A%5Ccap%20B%5Cright%20%29%3D0.144)
and we know
![P\left ( A\cup B\right )=P\left ( A\right )+P\left ( B\right )-P\left ( A\cap B\right )](https://tex.z-dn.net/?f=P%5Cleft%20%28%20A%5Ccup%20B%5Cright%20%29%3DP%5Cleft%20%28%20A%5Cright%20%29%2BP%5Cleft%20%28%20B%5Cright%20%29-P%5Cleft%20%28%20A%5Ccap%20B%5Cright%20%29)
![0.626=P\left ( A\right )+P\left ( B\right )-0.144](https://tex.z-dn.net/?f=0.626%3DP%5Cleft%20%28%20A%5Cright%20%29%2BP%5Cleft%20%28%20B%5Cright%20%29-0.144)
-------1
as it is given
A and B are independent therefore
![P\left ( A\cap B\right )=P\left ( A\right )\cdot P\left ( B\right )](https://tex.z-dn.net/?f=P%5Cleft%20%28%20A%5Ccap%20B%5Cright%20%29%3DP%5Cleft%20%28%20A%5Cright%20%29%5Ccdot%20P%5Cleft%20%28%20B%5Cright%20%29)
![0.144=P\left ( A\right )\cdot P\left ( B\right )](https://tex.z-dn.net/?f=0.144%3DP%5Cleft%20%28%20A%5Cright%20%29%5Ccdot%20P%5Cleft%20%28%20B%5Cright%20%29)
Substitute value of
in 1
![0.77=P\left ( A\right )+\frac{0.144}{P\left ( A\right )}](https://tex.z-dn.net/?f=0.77%3DP%5Cleft%20%28%20A%5Cright%20%29%2B%5Cfrac%7B0.144%7D%7BP%5Cleft%20%28%20A%5Cright%20%29%7D)
on solving ![P\left ( A\right )=0.45](https://tex.z-dn.net/?f=P%5Cleft%20%28%20A%5Cright%20%29%3D0.45)
![P\left ( B\right )=0.32](https://tex.z-dn.net/?f=P%5Cleft%20%28%20B%5Cright%20%29%3D0.32)
Answer:
<h2>
![\frac{w}{3}](https://tex.z-dn.net/?f=%5Cfrac%7Bw%7D%7B3%7D)
</h2>
Step-by-step explanation:
Rewrite the division as a fraction.
Answer:
Population after 4 years = 49 (nearest unit)
Population after 5 years = 47 (nearest unit)
Step-by-step explanation:
Yearly decrease = 4.6%
Decrease factor (what's left) = (100-4.6)% = 0.954
Current population, P = 60
population after n years = P(0.954)^n (to the nearest unit)
Population after 4 years = 60(0.954)^4 = 49.7 = 49 (nearest unit)
Population after 5 years = 60(0.954)^5 = 47.4 = 47 (nearest unit)