Jane is going to fence in her back yard. She has purchased 120 feet of fencing and knows that she wants to fence in a rectangula
2 answers:
Answer:
Step-by-step explanation:
Given :She has purchased 120 feet of fencing and knows that she wants to fence in a rectangular area where one side will be the back of her house.
She knows her house is 25 feet across the back.
To Find : Which of the following is the equation that Jane can use to figure out how far back from the house she can fence in?
Solution :
Let the breadth of the house be x
Her house is 25 feet across the back.
Boundary to be fence = 25+x+x
We are given that She has purchased 120 feet of fencing
So,
Hence the equation that Jane can use to figure out how far back from the house she can fence in is
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Answer:
Step-by-step explanation:
we know that
The compound interest formula is equal to
where
A is the Final Investment Value
P is the Principal amount of money to be invested
r is the rate of interest in decimal
t is Number of Time Periods
n is the number of times interest is compounded per year
in this problem we have
substitute in the formula above
Answer:
The probability that at least 280 of these students are smokers is 0.9664.
Step-by-step explanation:
Let the random variable <em>X</em> be defined as the number of students at a particular college who are smokers
The random variable <em>X</em> follows a Binomial distribution with parameters n = 500 and p = 0.60.
But the sample selected is too large and the probability of success is close to 0.50.
So a Normal approximation to binomial can be applied to approximate the distribution of X if the following conditions are satisfied:
1. np ≥ 10
2. n(1 - p) ≥ 10
Check the conditions as follows:
Thus, a Normal approximation to binomial can be applied.
So,
Compute the probability that at least 280 of these students are smokers as follows:
Apply continuity correction:
P (X ≥ 280) = P (X > 280 + 0.50)
= P (X > 280.50)
*Use a <em>z</em>-table for the probability.
Thus, the probability that at least 280 of these students are smokers is 0.9664.