Maggie runs 1/4 of a mile in 1.3 minutes. Olivia runs 2/3 of a mile in 2.9 minutes. Who runs faster? How much faster per hour do
1 answer:
You might be interested in
Let 
and 
be the sides of the rectangle. The perimeter is given to be 500m, so we are maximizing the area function 
subject to the constraint 
.
From the constraint, we find
so we can write the area function independently of:
Differentiating and setting equal to zero, we find one critical point:
which means
, so in fact the largest area is achieved with a square fence that surrounds an area of 
.
From the constraint, we find
so we can write the area function independently of
Differentiating and setting equal to zero, we find one critical point:
which means
Answer
Explanation:
Given
See attachment for proper data presentation
--- Sample
A = Supplier 1
B = Conforms to specification
Solving (a): P(A)
Here, we only consider data in sample 1 row.
Here:
and
P(A) is then calculated as:
Solving (b): P(B)
We only consider data in the Yes column.
Here:
and
P(B) is then calculated as:
Solving (c): P(A n B)
Here, we only consider the similar cell in the yes column and sample 1 row.
i.e. [Supplier 1][Yes]
This is represented as: n(A n B)
The probability is then calculated as:
Solving (d): P(A u B)
This is calculated as:
This gives:
Take LCM