Hana is playing a virtual reality game in which she must toss a disc to land on the largest triangular section of the board. If
the disc is equally likely to land anywhere on the board, what is the probability that she will succeed? Explain
1 answer:
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Answer:
0.1732 = 17.32% probability exactly 24 residents own a home.
Step-by-step explanation:
For each resident, there are only two possible outcomes. Either they own a home, or they do not. The probability of a resident owning a home is independent of any other resident. This means that the binomial probability distribution is used to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
In which is the number of different combinations of x objects from a set of n elements, given by the following formula.
And p is the probability of X happening.
78% of residents in Summerville own a home.
This means that
30 residents are randomly selected:
This means that
Find the probability exactly 24 residents own a home.
This is P(X = 24).
0.1732 = 17.32% probability exactly 24 residents own a home.
Answer:
The rate at which the total income is increasing is$1627415600
Step-by-step explanation:
From the given data
Population in the area=P=961400
The rate of increase in population=dP/dt=9200
The Average Income=I=$30593
The rate of increase in Average Income=dI/dt=$1400
Now the total income is given as
Total Income=TI=PI
So the rate of increase of total personal income is given as
From the product rule of derivatives
Here
I is the Average Income which is given as $30593
dI/dt is the rate of increase of income which is given as $1400.
P is the population of the area which is given as 961400
dP/dt=9200 is the rate of increase of population which is given as 9200
By substituting the values,
So the rate at which the total income is increasing is$1627415600