To find the upper and lower bounds we have to add 5 to 32 AND subtract 5 from 32 to get 37 and 27 respectively.
write it out like this 27 < x <37
Answer:
The solutions of the original equation are x=-5 and x=-2
Step-by-step explanation:
we have

Let

Rewrite the equation

Complete the square



rewrite as perfect squares

square root both sides




the solutions are
u=-2,u=1
<em>Alternative Method</em>
The formula to solve a quadratic equation of the form
is equal to
in this problem we have

so
substitute in the formula
the solutions are
u=-2,u=1
<em>Find the solutions of the original equation</em>
For u=-2
----> 
For u=1
----> 
therefore
The solutions of the original equation are
x=-5 and x=-2

,

,

We find the probability of intersection using the inclusion/exclusion principle:

By definition of conditional probability,

For

and

to be independent, we must have

in which case we have

, which is true, so

and

are indeed independent.
Or, to establish independence another way, in terms of conditional probability, we must have

which is also true.
Answer:
Your answer should be A. You fell sharply behind your expected schedule with regard to saving
Step-by-step explanation: