Answer:

Step-by-step explanation:
The angles are vertical since they form from two lines crossing at a point and they share a same vertex.
Vertical angles are equal so



3,162? I think it’s that I’m not sure.
Answer:
P(A∩B) = 0.522
Step-by-step explanation:
Let's call A the event that a puppy is adopted and B the probability that a puppy live 7 or more years
So, the probability P(A∩B) that a randomly selected puppy in the shelter will get adopted and live 7 or more years is:
P(A∩B) = P(A)*P(B/A)
Because A and B are not independents.
Then, the probability P(A) that a puppy is adopted is 58% and the probability P(B/A) that a puppy live 7 or more years given that the puppy is adopted is 90%.
Finally, replacing the values, we get:
P(A∩B) = 0.58*0.9 = 0.522
It means that the 52.2% of the puppies are adopted and live 7 or more years.
Answer:
53.33 mph
Step-by-step explanation:
Speed is the rate of change of distance with time. Mathematically,
speed = distance/time
and is measured in miles per hour or meter per second.
To get the average speed over the entire trip, we must get the total time spent on trip and the total distance, then apply the speed formula
Time for the first 300 miles
= 300/60
= 5 hours
Time spent on the last 100
= 100/40
= 2.5 hours
Total time of the trip = 5 + 2.5
= 7.5 hours
Total distance covered
= 300 miles + 100 miles
= 400 miles
Average speed on the trip
= 400/7.5
= 53.33 miles per hour