Answer:
c
Step-by-step explanation:
Answer:
The slope:

Step-by-step explanation:
-To determine the slope of the following points shown, you need this formula:

(
represents the slope,
represents the first coordinate and
represents the second coordinate)
-Apply the following points to the formula:

Then, solve:


So, the slope is
.
6(x-1)
4x
X = 6*x-1*6/6x-6=4x
X= -6=4x-6x
X=-6=-2x
Value of x Is 3
Answer: So the number of outcomes with exactly 4 tails is 720/2/24 = 15. Finally we can now calculate the probability of getting exactly 4 tails in 6 coin tosses as 15/64 = 0.234 to 3 decimal places.
<u>Given</u>:
The distance (in kilometers) Dora hiked is modeled as a function of time.
We need to determine the average rate of change in distance hiked, measured in kilometers per hour, between 8:30 am to 1:30 pm.
<u>Average rate of change:</u>
Let us write the time and the distance hiked in coordinates for the time 8:30 am and 1:30 pm.
Thus, the coordinates are (8.30, 4) and (1,12)
The average rate of change can be determined using the formula,

Substituting the points (8.30, 4) and (1.30,12), we get;



Rounding off to the nearest whole number, we get;

Therefore, the average rate of change is -1.