Let
. Then
, and so as
, you have
. The limit is then equivalent to
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.
More can be learned about probabilities at brainly.com/question/14398287
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33 girls and 57 boys
so total = 33 + 57 = 90 players
20% left handed = 90 x 0.2 = 18
answer
18 left-handed players
1 gallon = 128 ounces
Divide total ounces by ounces per cup:
128 / 4 = 32
She had 32 servings
Answer:
Step-by-step explanation:
a) the equation representing the parabola is expressed as
h = -16t² - 4t + 20
c) to determine the height after 25 seconds, we would substitute 25 for t into the given equation. It becomes
h = -16(25)² - 4(25) + 20
h = - 10000 - 100 + 20
h = - 10080
d) when the coin lands on the ground, the height would be 0. Therefore,
-16t² - 4t + 20 = 0
Dividing both sides of the equation by 4, it becomes
- 4t² - t + 5 = 0
- 4t² - 5t + 4t + 5 = 0
- t(4t + 5) + 1(4t + 5) = 0
- t + 1 = 0 or 4t + 5 = 0
t = 1 or t = - 5/4
Since t cannot be negative, then t = 1 second
