A square is cut out of a circle whose diameter is approximately 14 feet. What is the approximate area of the remaining portion o
f the circle in square feet?
2 answers:
see the attached figure <span>to better understand the problem
we know that
the side of square=2*[r*</span>√2/2]=r*√2
r=14 ft
the side of square=14*√2=19.80 ft
<span>[area of the remaining portion of the circle]=[ area of a circle]-[area of a square]
</span>[area of a square]=(14√2)²=392 ft²
[ area of a circle]=pi*14²=615.75 ft²
<span>therefore
</span>[area of the remaining portion of the circle]=615.75-392=223.75 ft²
<span>
the answer is </span>223.75 ft²<span>
</span>
we know that
the side of square=2*[r*</span>√2/2]=r*√2
r=14 ft
the side of square=14*√2=19.80 ft
<span>[area of the remaining portion of the circle]=[ area of a circle]-[area of a square]
</span>[area of a square]=(14√2)²=392 ft²
[ area of a circle]=pi*14²=615.75 ft²
<span>therefore
</span>[area of the remaining portion of the circle]=615.75-392=223.75 ft²
<span>
the answer is </span>223.75 ft²<span>
</span>
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Answer:
0.5944 = 59.44% probability that the team has at least 2 grade 11 students
Step-by-step explanation:
The students are chosen without replacement, which means that the hypergeometric distribution is used to solve this question.
Hypergeometric distribution:
The probability of x successes is given by the following formula:
In which:
x is the number of successes.
N is the size of the population.
n is the size of the sample.
k is the total number of desired outcomes.
Combinations formula:
is the number of different combinations of x objects from a set of n elements, given by the following formula.
We have that:
6 + 8 = 14 students, which means that
6 grade 11 students means that
Teams of 4 members means that
What is the probability that the team has at least 2 grade 11 students?
This is:
In which
So
Then
0.5944 = 59.44% probability that the team has at least 2 grade 11 students