Answer:
7. a) slope = 5
7. b) slope = 1/2
8. slope = 1
Step-by-step explanation:
slope = rise/run
rise is the vertical change, run is the horizontal change
7. a)
Pick any two points on your line. (0,0) and (1,5) are easy to work with.
The vertical change between the two points is 5
The horizontal change between those points is 1
so slope = 5/1 = 5
7. b)
Again, you can use (0,0) as one of your points. The point (2,4) is good as the second.
slope = 4/2 = 1/2
8. We don't have a graph, but we are given two points to work with, (1,4) and (5,8). Use the formula given...
m = slope = (y2-y1) / (x2-x1)
= (8 - 4) / (5 - 1)
= 4/4
= 1
I hope that helped!
Answer:
The <em>required probability</em> is
.
Step-by-step explanation:
Let <em>A </em>be the event of rolling the number cube.
Let <em>B</em> be the event of tossing the coin.
Total number of possibilities of rolling the number cube and tossing the coin are <em>12 </em>here.
![\{(1,H),(2,H),(3,H),(4,H),(5,H),(6,H),(1,T),(2,T),(3,T),(4,T),(5,T),(6,T)\}](https://tex.z-dn.net/?f=%5C%7B%281%2CH%29%2C%282%2CH%29%2C%283%2CH%29%2C%284%2CH%29%2C%285%2CH%29%2C%286%2CH%29%2C%281%2CT%29%2C%282%2CT%29%2C%283%2CT%29%2C%284%2CT%29%2C%285%2CT%29%2C%286%2CT%29%5C%7D)
where <em>H</em> means Head on toss of coin and <em>T</em> means Tails on toss of coin.
Formula for probability of an event <em>E</em> is:
![P(E) = \dfrac{\text{Number of favorable cases}}{\text {Total number of cases}}](https://tex.z-dn.net/?f=P%28E%29%20%3D%20%5Cdfrac%7B%5Ctext%7BNumber%20of%20favorable%20cases%7D%7D%7B%5Ctext%20%7BTotal%20number%20of%20cases%7D%7D)
Here, we have to find the probability of event 'E' i.e. getting a 6 on number cube and heads on coin.
Number of favorable cases are <em>1 </em>and total cases are <em>12</em>.
![\Rightarrow P(E) = \dfrac{1}{12}](https://tex.z-dn.net/?f=%5CRightarrow%20P%28E%29%20%3D%20%5Cdfrac%7B1%7D%7B12%7D)
Answer:
36
Step-by-step explanation:
Think of the unknown sized side as a half of 12 and multiply them together when your triangle is obtuse like that. and split the answer from 6 times 12.
I hope this helped you!
7 girls on a bus, each has two legs. 7 * 2 = 14.
Each girl has 7 backpacks. So 7 * 7 = 49.
49 * 7 = 343 cats in total
343 * 4 = 1,372 cat legs.
343 * 7 = 2401 small cats
2401 * 4 = 9,604 cat legs
14 + 1,372 + 2,401, + 9,604 = 10,990 legs in total