Let event A be the first light being red.
Let event B be the second light being red.
P(A) = 0.48
P(A & B) = P(A) * P(B) = 0.35
P(B) = 0.35 / P(A)
P(B) = 0.35 / 0.48
P(B) = 0.73
Since the lights are independent, P(B|A) = P(B) therefore d is the correct answer.
Answer:
The answer is "She cut a total of 42 pieces of pie".
Step-by-step explanation:
Given :
Total pie= 
cut pie = 
The number of pieces of the pie she has=?
Solve the mixed fraction value:

If she cuts the pieces into the entire pie, that is =
So, the equation is:


The waiter should go home. It is because it is improper with regards to food safety and pathogenic bacteria such as E.coli can contaminate the food. Though the productivity of the restaurant will decrease, food safety must come first to reduce customer complaints.
Answer:
The area of the region between the two curves by integration over the x-axis is 9.9 square units.
Step-by-step explanation:
This case represents a definite integral, in which lower and upper limits are needed, which corresponds to the points where both intersect each other. That is:

Given that resulting expression is a second order polynomial of the form
, there are two real and distinct solutions. Roots of the expression are:
and
.
Now, it is also required to determine which part of the interval
is equal to a number greater than zero (positive). That is:


and
.
Therefore, exists two sub-intervals:
and
. Besides,
in each sub-interval. The definite integral of the region between the two curves over the x-axis is:




The area of the region between the two curves by integration over the x-axis is 9.9 square units.