Answer:
she has a 4/10 chance she will pick purple bow or 2/5. 40% chance.
Step-by-step explanation:
Answer: ![P(A) = 0.23](https://tex.z-dn.net/?f=P%28A%29%20%3D%200.23)
Step-by-step explanation:
Given :
![P(A/B) = 0.2](https://tex.z-dn.net/?f=P%28A%2FB%29%20%3D%200.2)
![P(A/B^{1})=0.3](https://tex.z-dn.net/?f=P%28A%2FB%5E%7B1%7D%29%3D0.3)
![P(B)= 0.7](https://tex.z-dn.net/?f=P%28B%29%3D%200.7)
![P(A) = ?](https://tex.z-dn.net/?f=P%28A%29%20%3D%20%3F)
From rules of probability :
........................... equation *
can be written as
x
Also ,
can be written as
x ![P(B^{1})](https://tex.z-dn.net/?f=P%28B%5E%7B1%7D%29)
substituting into equation * , we have
![P(A) = P(A/B)](https://tex.z-dn.net/?f=P%28A%29%20%3D%20P%28A%2FB%29)
![P(B) + P(A/B^{1})P(B^{1})](https://tex.z-dn.net/?f=P%28B%29%20%2B%20P%28A%2FB%5E%7B1%7D%29P%28B%5E%7B1%7D%29)
since P(B) = 0.7, then ![P(B^{1}) = 1 - P(B) = 0.3](https://tex.z-dn.net/?f=P%28B%5E%7B1%7D%29%20%3D%201%20-%20P%28B%29%20%3D%200.3)
so , substituting each values , we have
![P(A) = (0.2)(0.7) + (0.3)(0.3)](https://tex.z-dn.net/?f=P%28A%29%20%3D%20%280.2%29%280.7%29%20%2B%20%280.3%29%280.3%29)
![P(A) = 0.14 + 0.09](https://tex.z-dn.net/?f=P%28A%29%20%3D%200.14%20%2B%200.09)
![P(A) = 0.23](https://tex.z-dn.net/?f=P%28A%29%20%3D%200.23)
Answer:
Since a blogger has 400 subscribers to her blog in January, and the number of subscribers has grown by a factor of 1.5 every month since the, to write a sequence to represent the number of subscribers in the 3 months that followed, the following reasoning has to be made:
January: 400 subscribers
February: 400 x 1.5 = 600 subscribers
March: 600 x 1.5 = 900 subscribers
April: 900 x 1.5 = 1,350 subscribers
Answer:
- 3/8 as a decimal is -0.375
Step-by-step explanation:
Value of x is 1/5
Step-by-step explanation:
- Step 1: Given equation is 4 = √6x + 15 - x. Square both sides of the equation.
⇒ 16 = 6x + 15 - x
⇒ 16 = 5x + 15
⇒ 1 = 5x
∴ x = 1/5