1. During one season, a total of 453,193 people attended a baseball team's games. What is the value of the digit 5 in the number
1 answer:
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The equation that models the movement of the object is:
Where,
t: time
a: acceleration due to gravity
v0: initial speed
h0: initial height
Suppose that the object falls with zero initial velocity and from a height of 38 feet.
The equation that models the problem is:
Answer:
If an object is dropped from a height of 38 feet, the function h (t) = -16t2 + 38 gives the height of the object after seconds
Where,
t: time
a: acceleration due to gravity
v0: initial speed
h0: initial height
Suppose that the object falls with zero initial velocity and from a height of 38 feet.
The equation that models the problem is:
Answer:
If an object is dropped from a height of 38 feet, the function h (t) = -16t2 + 38 gives the height of the object after seconds
Answer:
(1) The expected number of people who would have consumed alcoholic beverages is 34.9.
(2) The standard deviation of people who would have consumed alcoholic beverages is 10.56.
(3) It is surprising that there were 45 or more people who have consumed alcoholic beverages.
Step-by-step explanation:
Let <em>X</em> = number of adults between 18 to 20 years consumed alcoholic beverages in 2008.
The probability of the random variable <em>X</em> is, <em>p</em> = 0.697.
A random sample of <em>n</em> = 50 adults in the age group 18 - 20 years is selected.
An adult, in the age group 18 - 20 years, consuming alcohol is independent of the others.
The random variable <em>X</em> follows a Binomial distribution with parameters <em>n</em> = 50 and <em>p</em> = 0.697.
The probability mass function of a Binomial random variable <em>X</em> is:
(1)
Compute the expected value of <em>X</em> as follows:
Thus, the expected number of people who would have consumed alcoholic beverages is 34.9.
(2)
Compute the standard deviation of <em>X</em> as follows:
Thus, the standard deviation of people who would have consumed alcoholic beverages is 10.56.
(3)
Compute the probability of <em>X</em> ≥ 45 as follows:
P (<em>X</em> ≥ 45) = P (X = 45) + P (X = 46) + ... + P (X = 50)
The probability that 45 or more have consumed alcoholic beverages is 0.0006.
An unusual or surprising event is an event that has a very low probability of success, i.e. <em>p</em> < 0.05.
The probability of 45 or more have consumed alcoholic beverages is 0.0006. This probability value is very small.
Thus, it is surprising that there were 45 or more people who have consumed alcoholic beverages.