Since the motor boat left the dock 2 hours before the tour boat, their meeting point will be 27 miles from the dock from which both boats departed after 3 hours.
<h3>What is the distance?</h3>
Distance is the movement of an object regardless of direction. The distance can be defined as the amount of length an object has covered, regardless of its starting or ending position
We know that r × t = d
r = rate of speed
t = time
d = distance
For the motor boat
9 × t = d = rate × time
For the tour boat
27 × (t - 2) = d = rate × time
When they both cover the same distance in the same amount of time, they will eventually cross paths.
They both cover the same d-mile distance, so:
9 ×t = 27 × (t - 2)
Simplify to get:
9 × t = 27 × t - 54
18 t = 54
t = 3
The motor boat will have traveled at 9 mph for 3 hours to make a distance of 9 × 3 = 27 miles.
The tour boat will have traveled at 27 mph for 1 hour to make a distance of 1 × 27 = 27 miles.
Since the motor boat left the dock 2 hours before the tour boat, their meeting point will be 27 miles from the dock from which both boats departed after 3 hours.
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Using it's concept, there is a 0.125 = 12.5% probability that the escape happens at 4.
<h3>What is a probability?</h3>
A probability is given by the <u>number of desired outcomes divided by the number of total outcomes</u>.
Considering that the bounds for a discrete brownian walk is [-3, 4], the possible outcomes are:
-3, -2, -1, 0, 1, 2, 3, 4.
A escape at 4 is one outcome, hence the probability is given by:
p = 1/8 = 0.125.
0.125 = 12.5% probability that the escape happens at 4.
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Step-by-step explanation:
AC = AB + BC
25x - 19 = 9x + 7 + 5x + 7
25x - 19 = 14x + 14
25x - 14x = 14 + 19
11x = 33
x = 33/11
x = 3
AB = 9x + 7
= 9(3) + 7
= 27 + 7
= 34
Answer:
The answer is c
Step-by-step explanation:
5x+3y=19
multiply x 2: 10x+6y=38
2x-4y=-8
multiply by -5: -10x+20y=40
now you can add the two equations:
10x+6y=38
-10x+20y=40
add equations 0x+26y=78
Y=3
Answer:
a
Step-by-step explanation:
theres a 90 degree angle and a has a 95 so thats pretty close