Answer:
Step-by-step explanation:
In this question, the sample space contains 8 elements and has been given as;
HHT HHH THH HTH HTT TTT TTH THT
1. For event A:
Outcomes of alternating tail and head = THH HTH HTT THT
= 4 outcomes
Pr(alternating tail and head (with either coming first)) = 
= 
2. For event B:
Outcomes of no tails on the first two tosses = HHT HHH
= 2 outcomes
Pr (No tails on the first two tosses) = 
= 
For event C:
Outcomes of a tail on both the first and the last tosses = THT TTT
= 2 outcomes
Pr(A tail on both the first and last tosses) =
=
Answer:
The scale factor is 1 to 1.3
Step-by-step explanation:
Here, we want to get the scale factor
To get the scale factor, we divide corresponding sides by each other
That, we have that
9/7 = 1.3
Y = mx + b
m = (0 - -5)/(6 - 3) = 5/3
y = 5/3x + b
0 = 5/3(6) + b
b = -10
(y = 5/3x - 10)3
3y = 5x - 30
3y - 5x = -30
5x - 3y = 30
If he bought the bike for $400 and lost 35% of his profit, you would divide 35 by 100. Next, you would multiply that number (0.35) by 400. When you do that, you get an answer of $140. In conclusion, if he bought the bike for $400 and sold it at a loss of 35%, he would lose $140 from that $400.
Additionally, if you wanted to know what exactly he sold it for, you would simply subtract 140 from 400. Which would be $260.
So, he bought the bike for $400, but when he resold it, he lost $140 of that pay. Basically, he resold the bike for $260.
I hope this helps! :) Let me know if you need help with anything else!
Answer:
x=12
Step-by-step explanation:
The sum of the angles of a triangle is 180 degrees
5x+8x+2x =180
Combine like terms
15x = 180
Divide by 15 on each side
15x/15 =180/15
x=12
