The first thing I did was plot the given two points: (3,0) and (0,4). I connected the two hollow dots and created a line. Then, I shaded the region below the line as mentioned in the problem. The result is show in the picture.
The detail about dashed line is important because it expresses an equality with a symbol < or >. The data points that coincide with that line is not part of the solution but just stand as a boundary, hence, I used dashed line and hollow points. If it were ≥ or ≤, then we use solid lines and dots. With that, we can already eliminate choice D.
Next, we test the inequality. Let's choose a point within the shaded region. Suppose the point is (1,0) denoted by the red dot. If it is part of the solution, then the inequality will be proven true.
<span>A. 4x-3y>-12
4(1) - 3(0) > -12
4 > -12, this is true
B. x+4y>4
1 + 4(0) > 4
1 > 4, this is not true
C. 4x-2y<-8
4(1) -2(0) < -8
4 <-8, this is not true
</span>∴The answer is A.<span>
</span>
Answer:
(a) Option A. independent
(b) 
Step-by-step explanation:
Two events A and B are considered dependent if the occurrence of one affects the probability of occurrence of another.
In this case, the events are independent because the birth of a girl or a boy does not affect the probability of obtaining a 1 by throwing a 16-sided die.
In the same way, throwing a die and obtaining the number 1 does not affect the probability that a baby is a girl or a boy.
When two events are independent then

The probability that a baby is a girl is

The probability of obtaining a 1 when casting a 16-sided die is:

Then:


It’s is 997/1000. Just put the number over the highest decimal place
Answer:
x = 27
Step-by-step explanation:
Step-by-step explanation:
Subtracting equation (2) from equation (1)
Substituting d = - 3 in equation (1), we find:
Hence, first term is zero.