Approximately 10.3% of american high school students drop out of school before graduation. choose 10 students entering high scho
1 answer:
The probability that a binomial experiment of n trials and p, the probability of success, produces an outcome, x is given by:
Given that a<span>pproximately 10.3% of american high school students drop out of school before graduation, thus p = 0.103.
If we choose 10 students (i.e. n = 10)
The </span><span>probability that all 10 stay in school and graduate means the probability that none of the 10 students dropped out
is given by
</span>
Given that a<span>pproximately 10.3% of american high school students drop out of school before graduation, thus p = 0.103.
If we choose 10 students (i.e. n = 10)
The </span><span>probability that all 10 stay in school and graduate means the probability that none of the 10 students dropped out
</span>
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<h2>Explanation:</h2>
In every rectangle, the two diagonals have the same length. If a quadrilateral's diagonals have the same length, that doesn't mean it has to be a rectangle, but if a parallelogram's diagonals have the same length, then it's definitely a rectangle.
So first of all, let's prove this is a parallelogram. The basic definition of a parallelogram is that it is a quadrilateral where both pairs of opposite sides are parallel.
So let's name the vertices as:
First pair of opposite sides:
<u>Slope:</u>
Second pair of opposite sides:
<u>Slope:</u>
So in fact this is a parallelogram. The other thing we need to prove is that the diagonals measure the same. Using distance formula:
So the diagonals measure the same, therefore this is a rectangle.