Answer:
<u>3/40</u>
Step-by-step explanation:
Probability (Quarter 1st) :
⇒ Number of quarters / Number of coins
⇒ 5 / 9 + 3 + 8 + 5
⇒ 5/25
⇒ 1/5
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The coin is not replaced.
Probability (Penny 2nd) :
⇒ No. of pennies / Total - 1
⇒ 9 / 25 - 1
⇒ 9/24
⇒ 3/8
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Probability (both) :
⇒ 1/5 × 3/8
⇒ <u>3/40</u>
Answer:
x=4± 5sqrt(2)
Step-by-step explanation:
x^2 – 8x – 34 = 0
To complete the square Add 34 to each side
x^2 -8x -34+34=0+ 34
Take the coefficient of x, and divide by 2
-8/2 =-4
Then square it and add it to each side
(-4)^2 =16
x^2 – 8x +16 = 34+16
x^2 – 8x +16 = 50
We replace the left side with (x + the coefficient of x/2)^2
(x -4)^2=50
Take the square root of each side
sqrt((x -4)^2)=±sqrt(50)
x-4 = ±sqrt(25*2)
x-4 = ±sqrt(25)*sqrt(2)
x-4 = ±5sqrt(2)
Add 4 to each side
x=4± 5sqrt(2)
A fraction. Thats the answer ;)