I'm almost positive that the point would be plotted at (2,1)

**Answer:**

**Step-by-step explanation:**

A column vector is shown in the form where x is how many spaces to move in the positive x direction y is how many spaces move in the positive y direction.

The vector b moves 4 spaces to the right (which is in the positive direction of x) and doesn't move up or down in the y direction which is 0, so the column vector is

**[B]** y + 5 = 5(x + 7)

**[C]** y - 10 = 5(x + 4)

<h3>Explanation:</h3>

<u>slope</u>(m) = **y2 - y1/x2 - x1**

- - 5 - 10/- 7 + 4
- - 15/- 3 = 5.

<u>Point slope form to find the equation</u>:

**y - y1 = m(x - x1)**- y - 10 = 5(x + 4)
- y - 10 = 5x + 20
- y = 5x + 30

Answer:

The experimental probability is 1/6, and the theoretical probability is 1/4. The theoretical probability is greater than the experimental probability in this trial.

-------------------

Explanation:

Theoretical probability is the mathematically calculated probability of the circumstances occurring.

There is a 1/2 chance of rolling an even number, and a 1/2 chance of flipping a coin on heads.

Since the question asks for the possibility of both happening, multiply those together to find the probability:

The theoretical probability of rolling an even number and then flipping a head is

**1/4.**

Now we'll focus on Taka's trials.

Experimental probability is the probability that is taken from results of a trial.

Take the results, and see if they match the criteria of rolling an even number and flipping heads.

The results that are bolded fit the criteria:

<span>1 H, 4 T, 1 H, 5 T,

**2 H,** 3 T, 6 T,

**2 H,** 3 T, 5 T, 3 H, 4 T

</span>

Taka managed to roll and flip the coin to fit the criteria 2 times out of 12. Converted into a fraction, it is 2/12. Simplified, the experimental probability is

**1/6.**