We're told that



a. We want to find
. By definition of conditional probability,

By the law of total probability,

Then

(the first equality is Bayes' theorem)
b. We want to find
.

since
.
Answer: see below
<u>Step-by-step explanation:</u>
The "point" on the inequality symbol points to the smaller number
- < is the "less than" inequality symbol
- > is the "greater than" inequality symbol
- = is the "equal" symbol
18) 3 = 3
20) 
22) 0.8 = 4/5 Note: 4÷5 is 0.8
26) 0.075 < 0.39
28) -5.2 < -4.8
30) 0.4 > 
32) 
Answer:
-66+12 or -54
Step-by-step explanation:
To remove the parenthesis multiply the number outside of the parenthesis (in this case -6) to the numbers inside of the parenthesis (11, and -2).

A negative multiplied by a positive is a negative.

A negative multiplied by a negative is a positive.

Answer:
2 units
Step-by-step explanation:
The given equation of the circle is:

The general equation of the circle is:

Comparing the given equation with the general equation we can say:
g = 4
f = -3
c = 21
The formula for radius of the circle is:

Using these values of the given circle, we get:

Therefore, the length of radius of the given circle is 2.
Option B) 3 hours is the time spent by Jenna on the e-mail this week.
<u>Step-by-step explanation:</u>
Jenna spent 30 hours on the computer this week.
The amount of time she spends on computer to work on various fields in given in the pie-chart.
This 30 hours represents her 100% work on computer.
From the figure shown,
She spent 10% of her total work on e-mail.
Therefore, 10% of 30 is the work done in hours by her on e-mail.
⇒ (10/100) × 30
⇒ 0.1 × 30
⇒ 3 hours
∴ Option B) 3 hours is the time spent by Jenna on the e-mail this week.