Answer:
A dashed straight line has a positive slope and goes through (0, negative 4) and (3, negative 2). Everything to the right of the line is shaded.
Step-by-step explanation:
To graph the solution set of the inequality 2x - 3y < 12, first plot the dashed line 2x - 3y = 12 (dashed because the inequality has sign < without notion "or equal to"). This line passes through the points (0,-4) and (3,-2) (their coordinates satisfy the equation of the line). this line has positive slope because

and the slope of the line is 2/3.
Now, identify where the origin is (in the region or outside the region). Substitute (0,0) into the inequality:

This means coordinates of the origin satisfy the inequality, so origin belongs to the shaded region. Thus, shade that part which contains origin.
Answer:
The Amount tom has to pay is $196.65 therefore, Option b is correct
Step-by-step explanation:
Tom recieves 43% of total monthly premium
That means out of 100% he is getting 43% he has to pay (100%-43%)= 57% of $345.00
The amount Tom has to pay each month is
it will become 
Therefore,The Amount tom has to pay is $196.65 that is option b is correct
Answer:
23.1% probability of meeting at least one person with the flu
Step-by-step explanation:
For each encounter, there are only two possible outcomes. Either the person has the flu, or the person does not. The probability of a person having the flu is independent of any other person. So we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

In which
is the number of different combinations of x objects from a set of n elements, given by the following formula.

And p is the probability of X happening.
Infection rate of 2%
This means that 
Thirteen random encounters
This means that 
Probability of meeting at least one person with the flu
Either you meet none, or you meet at least one. The sum of the probabilities of these outcomes is 1. So

We want
. Then

In which



23.1% probability of meeting at least one person with the flu
Answer:
1
Step-by-step explanation:
David Joyner might be the first name, so you may only have to check 1 name.
I don't understand what you mean by 300 and 70, unless you meant 300/70 (in that case it would be 30/7).
5/10 would be 1/5
8/100 would be 2/25.