Answer:
5x=2x−4−2
Subtract 2 from −4 to get −6.
5x=2x−6
Subtract 2x from both sides.
5x−2x=−6
Combine 5x and −2x to get 3x.
3x=−6
Divide both sides by 3.
x= -6/3
Divide −6 by 3 to get −2.
x=−2
Step-by-step explanation:
Answer:
- 3 < p < 4
Step-by-step explanation:
Given p is greater than - 3 then - 3 is less than p
- 3 < p < 4
Probabilities are used to determine the chances of an event
- The probability of choosing a black counter is 0.6
- The probability that both counters are white is 0.16
<h3>(a) Probability of selecting two blacks</h3>
The probability is given as:
![P(Black\ n\ Black)=0.36](https://tex.z-dn.net/?f=P%28Black%5C%20n%5C%20Black%29%3D0.36)
Apply probability formula
![P(Black) \times P(Black)=0.36](https://tex.z-dn.net/?f=P%28Black%29%20%5Ctimes%20P%28Black%29%3D0.36)
Express as squares
![P(Black)^2=0.36](https://tex.z-dn.net/?f=P%28Black%29%5E2%3D0.36)
Take the square root of both sides
![P(Black)=0.6](https://tex.z-dn.net/?f=P%28Black%29%3D0.6)
Hence, the probability of choosing a black counter is 0.6
<h3>(b) Probability of selecting two white counters</h3>
In (a), we have:
![P(Black)=0.6](https://tex.z-dn.net/?f=P%28Black%29%3D0.6)
Using the complement rule, we have:
![P(White) = 1 - P(Black)](https://tex.z-dn.net/?f=P%28White%29%20%3D%201%20-%20P%28Black%29)
So, we have:
![P(White) = 1 -0.6](https://tex.z-dn.net/?f=P%28White%29%20%3D%201%20-0.6)
Evaluate
![P(White) = 0.4](https://tex.z-dn.net/?f=P%28White%29%20%3D%200.4)
The probability that both counters are white is then calculated as:
![P(White\ and\ White) = P(White) \times P(White)](https://tex.z-dn.net/?f=P%28White%5C%20and%5C%20White%29%20%3D%20P%28White%29%20%5Ctimes%20P%28White%29)
So, we have:
![P(White\ and\ White) =0.4 \times 0.4](https://tex.z-dn.net/?f=P%28White%5C%20and%5C%20White%29%20%3D0.4%20%5Ctimes%200.4)
![P(White\ and\ White) =0.16](https://tex.z-dn.net/?f=P%28White%5C%20and%5C%20White%29%20%3D0.16)
Hence, the probability that both counters are white is 0.16
Read more about probabilities at:
brainly.com/question/15858152
Answer: 10
Step-by-step explanation: 10 divided by 5 is 2. 2 times 2 is 4