It's an overcast day in Hayward and you're waiting for AC Transit 97 Bus Line to show up. Your weather app says there's a 30% chance of rain that day. You know that if it rains, the probability that the bus runs late is 40%. If it doesn't rain, the probability that the bus runs late is only 15%. Use proper notation to state the probabilities. (a) What is the probability that it will rain and the bus will be late? (b) What is the probability that the bus will be late? (c) Given that the bus ran late, what was the probability that it was not raining?

a

b

c

Step-by-step explanation:

The chance that it will rain is  

 The chance that it does not rain is

The probability that the bus run late if it rains is  

 The probability that the bus run late if it does not rain is  

  Generally the probability that it will rain and the bus will be late is mathematically represented as

=>  

=>    

Generally the probability that the bus will be late is mathematically represented as

=>  

 =>  

Generally given that the bus ran late,  the probability that the bus it was not raining is mathematically represented as

Here  

=>  

=>  

So

   =>  

x=17

step-by-step explanation:

solve 3x-24=x+10

then that makes it 2x=34 because you subtract an x from both sides to get rid of the one on the right, and then you add 24 to both sides to get rid of the 24 on the left

divide by both sides by 2 to get your answer so that you can get your answer

47

step-by-step explanation: