a. The speed is represented by 7 miles an hour
b. f(t)=7t
c. 28 miles
Answer:
Explanation:
The theoretical probability, P (A), of an event, A, is:
- P(A) = number of outcomes of event A / total number of possible outcomes
For 10 cranberry and 15 strawberry juices, the number of outcomes for two strawberry juices are:
- Combination of 15 strawberry juices chosen in two:

The total number of possible outcomes is:
- Combination of 25 juices chosen in two:

Thus, the probability of randomly picking two strawberry juices is:
- P (two strawberry juices) = 105/300 = 7/20
Note that you can obtain it as the product of the probabilities that the first juice is a strawberry juice and the second juice is also strawberry juice:

18/25 is already simplified. There is no number that can go in both 18 and 25.
The speed of wind and plane are 105 kmph and 15 kmph respectively.
<u>Solution:</u>
Given, it takes 6 hours for a plane to travel 720 km with a tail wind and 8 hours to make the return trip with a head wind.
We have to find the air speed of the plane and speed of the wind.
Now, let the speed wind be "a" and speed of aeroplane be "b"
And, we know that, distance = speed x time.

Now at head wind → 
So, solve (1) and (2) by addition
2a = 210
a = 105
substitute a value in (1) ⇒ 105 + b = 120
⇒ b = 120 – 105 ⇒ b = 15.
Here, relative speed of plane during tail wind is 120 kmph and during head wind is 90 kmph.
Hence, speed of wind and plane are 105 kmph and 15 kmph respectively.