Notice that for implies that elsewhere, since
where is a random variable representing cable lengths according to the PDF .
a. By definition of expectation, the mean is
The variance is
where
so that the variance is , making the standard deviation .
b. The proportion of cables within specs is
Answer:
The music director can make 15 groups of performers with 6 sixth grade students and 5 seventh grade students in each group.
Step-by-step explanation:
A school chorus has 90 sixth-grade students and 75 seventh-grade students.
Factor these two numbers:
Find GCF(90,75):
Now,
Therefore, the music director can make 15 groups of performers with 6 sixth grade students and 5 seventh grade students in each group.
Last one is A, (3,4) and (5,12) because that's where the lines meet therefore it is a solution and this graph consists of two solutions.