Answer:
the graph is as illustrated above
The absolute value of x is shifting 3 units up
It would be 1/7 chance cause there are 7 people total but you have the 1 chance that you are going to get your own name
Answer:
4.


5.


Step-by-step explanation:
The sides of a (30 - 60 - 90) triangle follow the following proportion,

Where (a) is the side opposite the (30) degree angle, (
) is the side opposite the (60) degree angle, and (2a) is the side opposite the (90) degree angle. Apply this property for the sides to solve the two given problems,
4.
It is given that the side opposite the (30) degree angle has a measure of (8) units. One is asked to find the measure of the other two sides.
The measure of the side opposite the (60) degree side is equal to the measure of the side opposite the (30) degree angle times (
). Thus the following statement can be made,

The measure of the side opposite the (90) degree angle is equal to twice the measure of the side opposite the (30) degree angle. Therefore, one can say the following,

5.
In this situation, the side opposite the (90) degree angle has a measure of (6) units. The problem asks one to find the measure of the other two sides,
The measure of the side opposite the (60) degree angle in a (30-60-90) triangle is half the hypotenuse times the square root of (3). Therefore one can state the following,

The measure of the side opposite the (30) degree angle is half the hypotenuse (the side opposite the (90) degree angle). Hence, the following conclusion can be made,

Answer:
4 times it is tails
Step-by-step explanation:
Sample Space: 1H, 1T, 2H, 2T, 3H, 3T, 4H, 4T
H= heads
T= tails
Event is is tails; 1T, 2T, 3T, 4T
4 times or 50% chance
Answer:
The slope of the red line is also 8
Step-by-step explanation:
Parallel lines never meet. So, they always have the same slope. If they had different slopes, then they would meet on the graph at some point. However, since the lines have the same slope, they will never meet since they proportionally grow at the same rate.