Answer:
Step-by-step explanation:
First find the slope using the slope using the given points. Remember that the slope is the change in y over the change in x.
So now we have the equation 
, and we need to find out what b is. We can do this by pointing a point (either one, but I'll use -1,2) into the equation
Rearrange the equation so it equals b
Put it together and that's the final equation!
Answer:
55
Step-by-step explanation:
JL = JK + KL
84 = 3x+5 + 6x+7
Combine like terms
84 = 9x +12
Subtract 12 from each side
84-12 = 9x+12-12
72 = 9x
Divide by 9
72/9 = 9x/9
8 =x
We want KL
KL = 6x+7
6*8 +7
48+7
55
Answer:
a) P ( E | F ) = 0.54545
b) P ( E | F' ) = 0
Step-by-step explanation:
Given:
- 4 Coins are tossed
- Event E exactly 2 coins shows tail
- Event F at-least two coins show tail
Find:
- Find P ( E | F )
- Find P ( E | F prime )
Solution:
- The probability of head H and tail T = 0.5, and all events are independent
So,
P ( Exactly 2 T ) = ( TTHH ) + ( THHT ) + ( THTH ) + ( HTTH ) + ( HHTT) + ( HTHT) = 6*(1/2)^4 = 0.375
P ( At-least 2 T ) = P ( Exactly 2 T ) + P ( Exactly 3 T ) + P ( Exactly 4 T) = 0.375 + ( HTTT) + (THTT) + (TTHT) + (TTTH) + ( TTTT)
= 0.375 + 5*(1/2)^4 = 0.375 + 0.3125 = 0.6875
- The probabilities for each events are:
P ( E ) = 0.375
P ( F ) = 0.6875
- The Probability to get exactly two tails given that at-least 2 tails were achieved:
P ( E | F ) = P ( E & F ) / P ( F )
P ( E | F ) = 0.375 / 0.6875
P ( E | F ) = 0.54545
- The Probability to get exactly two tails given that less than 2 tails were achieved:
P ( E | F' ) = P ( E & F' ) / P ( F )
P ( E | F' ) = 0 / 0.6875
P ( E | F' ) = 0
When competing the square, you want to have
at the end, and using the fact that the x term and coefficient are really
, we see that the third option is the most efficient way to start
Answer:hello
Step-by-step explanation:
