2. Mark is having fun with bowling balls and clay. He drops balls from various heights and records their speed just before impact with a clay block. He then measures how far into the clay the ball went. The table below shows his results. a. Write an equation relating the speed v, to the depth of indentation d of the ball into the clay. Speed (m/s) Depth (m) V- axtbxtc 1.30 0.02 5.00 0.30 b. If the ball is going 20 meters per second, how far into the clay should it go? 9.13 1.00 10.00 1.20 12.91 2.00 15.00 2.70 20.00 C. How fast was the ball going to make a 7.5 meter impact into the clay? 7.50
Addition Rule of Probability
It simply refers to the likelihood of an event taking place whenever the occurrence of an event is uncertain. The probability of a single event can be calculated by dividing the number of successful trials of that event by the total number of trials.
Expected Value
When a large number of trials are performed for any random variable ‘X’, the predicted result is most likely the mean of all the outcomes for the random variable and it is known as expected value also known as expectation. The expected value, also known as the expectation, is denoted by: E(X).
Probability Distributions
Understanding probability is necessary to know the probability distributions. In statistics, probability is how the uncertainty of an event is measured. This event can be anything. The most common examples include tossing a coin, rolling a die, or choosing a card. Each of these events has multiple possibilities. Every such possibility is measured with the help of probability. To be more precise, the probability is used for calculating the occurrence of events that may or may not happen. Probability does not give sure results. Unless the probability of any event is 1, the different outcomes may or may not happen in real life, regardless of how less or how more their probability is.
Basic Probability
The simple definition of probability it is a chance of the occurrence of an event. It is defined in numerical form and the probability value is between 0 to 1. The probability value 0 indicates that there is no chance of that event occurring and the probability value 1 indicates that the event will occur. Sum of the probability value must be 1. The probability value is never a negative number. If it happens, then recheck the calculation.
![OnRamps
EXPERIENCE COLLEGE BEFORE COLLEGE
HW 5.4.1 - APPLICATIONS OF THE QUADRATIC FUNCTION
1. "Punkin Chunkin," or Pumpkin Chunking, is the sport of launching pumpkins with
cannons and other mechanical devices as far as possible. Teams that compete in
these events have names such as American Chunker Inc., Fibonacci Unlimited II.
Shooda Noed Beter, and Snot Rocket. The world record was set in 2013, when a
pumpkin was launched to a height of 2250 feet and a distance of 4500 feed
(measurements have been rounded for simplicity). Assume the motion of the
pumpkin was symmetrical. Write a quadratic equation to relate the vertical
displacement y, with the horizontal displacement x. How high was the pumpkin
when it was 1000 ft away?
Solve the following.
ఇ) బింి
(1500 Y a(x-QR250R +2250
1o00-22
2a50
(
2250,2850)
O:a (4500-aas0)at a250
-2250- 9 (2250o)
14000
E1 555.56
ニ
2250
2. Mark is having fun with bowling balls and clay. He drops balls from various heights
and records their speed just before impact with a clay block. He then measures how
far into the clay the ball went. The table below shows his results.
a. Write an equation relating the speed v, to the depth of
indentation d of the ball into the clay.
Speed
(m/s)
Depth
(m)
V- axtbxtc
1.30
0.02
5.00
0.30
b. If the ball is going 20 meters per second, how far into the
clay should it go?
9.13
1.00
10.00
1.20
12.91
2.00
15.00
2.70
20.00
c. How fast was the ball going to make a 7.5 meter impact
into the clay?
7.50
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