At points (4,0) and (-2,0), <span>the graph of f(x)=2x^2-4x-16 intersect the x-axis.
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Hope this helps.
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Answer:
x = 9
Step-by-step explanation:
x/3 = 6/2
~Simplify
x/3 = 3
~Rewrite
1/3x = 3
~Multiply 3 to both sides
x = 9
Best of Luck!
Answer:
Time taken by Anna = x = 5.6 hours
Explanation:
Strategize. Let x = Anna's time.
We know that, d = s*t
Where,
d is distance
s is speed
t is time
Distance covered by Allen = 7 times 40 = 7*40 = 280
Distance travelled by Anna = x times 50 = 50x
Set up. 7(40)=x(50)
280 = 50x
Solve for x
x = 
x = 5.6 hours
Identify. Anna's time is the unknown.
Solve. x = 5.6
Check. 7(40)=5.6(50)
280 = 280
You're right!
That's the final answer.
I hope it will help you.
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
