Answer:
3.0909 hours
Approximately ≈ 3.1 hours
Step-by-step explanation:
We are given the following values or variables in the question above
Train A moves at a speed of = 50mph( miles per hour)
Train B moves at a speed of = 60mph( miles per hour)
The original distance between them = 340 miles
We are asked to determine how soon they will meet, which means we are to determine the time(in hours) at which they would meet.
The formula to be used to calculate the time in hours =
Time(hours) = Distance(miles) ÷ Relative(Total) Speed (mph i.e miles per hour)
Distance = 340miles
Relative or Total Speed = Speed of Train A + Speed of Train B
Speed = 50mph + 60mph
Speed = 110mph(miles per hour)
Time (hours) = 340miles ÷ 110mph
Time in hour = 3.0909 hours
Approximately ≈ 3.1hours
Therefore Train A and Train B will meet in 3.1 hours.
The right answer for the question that is being asked and shown above is that: "B. 270° counterclockwise rotation around point G." the pre-image CDEF transformed to create image CꞌDꞌEꞌFꞌ is that <span>B. 270° counterclockwise rotation around point G</span>
Answer:
(a) 5/7 chance
(b) 2/7 chance
(c) 5/7 chance
Step-by-step explanation:
Event X: There are 3 letters that come before "D". A, B, and C. There is a 3 out of 7 chance of picking one of those letters. (3/7)
Event Y: There are 4 letters in "C A G E". Those 4 letters are in the 7 first letters of the alphabet meaning that they are in our pile of tiles. There is a 4 out of 7 chance of picking one of those letters. (4/7)
(a) Since there is a 3/7 chance of Event X happening and a 4/7 chance of Event Y happening, there is a <u>5/7 chance</u> of either Event X or Event Y happening since tiles "A" and "C" are included in both events.
(b) Since there is a 3/7 chance of Event X happening and a 4/7 chance of Event Y happening, there is a <u>2/7 chance</u> of both X and Y happening since there are only 2 tiles that are the same in both events, "A" and "C". (We are only allowed to pick one tile)
(c) The complement of Event Y is 1-4/7=<u>5/7 chance</u>.
C is the correct answer!!