We need to solve the equation: w² + 36 = 12w
⇒ w² - 12w + 36 = 0
⇒ w² - 6w - 6w + 36 = 0 (Breaking 6w such that their product is 9w²)
⇒ w × (w - 6) - 6 × (w - 6) = 0 (Extracting common factors)
⇒ (w - 6) × (w - 6) = 0
⇒ (w - 6)² = 0
⇒ w = 6
Hence, the correct answer is 6 which is the fourth option from the replacement set
3x+2y=50
x+y=19
x=12, y=7
12 jumps, 7 "raise the roof"s
Using the expected value of a discrete distribution, it is found that:
a) His expected value is of -$2.5.
b) The fair price of a ticket is of $0.5.
<h3>What is the mean of a discrete distribution?</h3>
The expected value of a discrete distribution is given by the <u>sum of each outcome multiplied by it's respective probability</u>.
In this problem, the distribution for the net value of the ticket is:
Item a:
The expected value is given by:
![E(X) = 497\frac{1}{1000} - 3\frac{999}{1000} = -2.5](https://tex.z-dn.net/?f=E%28X%29%20%3D%20497%5Cfrac%7B1%7D%7B1000%7D%20-%203%5Cfrac%7B999%7D%7B1000%7D%20%3D%20-2.5)
His expected value is of -$2.5.
Item b:
With an unknown ticket price, the distribution is:
The game is fair if E(X) = 0, hence:
![\frac{500 - x}{1000} - \frac{999x}{1000} = 0](https://tex.z-dn.net/?f=%5Cfrac%7B500%20-%20x%7D%7B1000%7D%20-%20%5Cfrac%7B999x%7D%7B1000%7D%20%3D%200)
0.5 - x = 0
x = 0.
The fair price of a ticket is of $0.5.
More can be learned about the expected value of a discrete distribution at brainly.com/question/24855677
Answer:
-7/25
Step-by-step explanation:
hope get Brainliest
Answer:
6 ft long
Step-by-step explanation:
If your rope is 24 ft long, then split it into 2.
Then each is 12 ft long
Split one of the 12 ft peices in half
SO,... its 6 ft for one rope, and 18 ft for the other.
Hope this helps!