Answer:
14x-4
Step-by-step explanation:
So you know 3x +5x = 8x so then you add 6x and put -4
Answer:
120th term = 961
where
a = first term
d = common difference
n = number of terms
Step-by-step explanation:
![a + (n - 1)d \\ 9 + (120 - 1)8 \\ 9 + (119)8 \\ 9 + 952 \\ 120th \: term = 961](https://tex.z-dn.net/?f=a%20%2B%20%28n%20-%201%29d%20%5C%5C%209%20%2B%20%28120%20-%201%298%20%5C%5C%209%20%2B%20%28119%298%20%5C%5C%209%20%2B%20952%20%5C%5C%20120th%20%5C%3A%20term%20%3D%20961)
Answer:
The probability that the coin landed heads is 65.3%.
Step-by-step explanation:
Given : Urn A has 5 white and 17 red balls. Urn B has 9 white and 12 red balls. We flip a fair coin. If the outcome is heads, then a ball from urn A is selected, whereas if the outcome is tails, then a ball from urn B is selected. Suppose that a white ball is selected.
To find : What is the probability that the coin landed heads ?
Solution :
Let the event A be the ball taken from Urn A (5 white and 17 red balls)
Let B=A'- the ball taken from urn B(9 white and 12 red balls)
Let W be event that a white ball is selected.
An urn is chosen based on a toss of a fair coin.
P(A) = coin landed on heads = ![\frac{1}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D)
P(B) = coin landed on tails = ![P(A')=\frac{1}{2}](https://tex.z-dn.net/?f=P%28A%27%29%3D%5Cfrac%7B1%7D%7B2%7D)
and ![P(W/B)=\frac{3}{7}](https://tex.z-dn.net/?f=P%28W%2FB%29%3D%5Cfrac%7B3%7D%7B7%7D)
Using Bayes formula,
![P(B/W)=\dfrac{P(W/B)P(B)}{P(W/B)P(B)+P(W/A)P(A)}](https://tex.z-dn.net/?f=P%28B%2FW%29%3D%5Cdfrac%7BP%28W%2FB%29P%28B%29%7D%7BP%28W%2FB%29P%28B%29%2BP%28W%2FA%29P%28A%29%7D)
![P(B/W)=\dfrac{\frac{3}{7}\times \frac{1}{2}}{\frac{3}{7}\times \frac{1}{2}+\frac{5}{22}\times \frac{1}{2}}](https://tex.z-dn.net/?f=P%28B%2FW%29%3D%5Cdfrac%7B%5Cfrac%7B3%7D%7B7%7D%5Ctimes%20%5Cfrac%7B1%7D%7B2%7D%7D%7B%5Cfrac%7B3%7D%7B7%7D%5Ctimes%20%5Cfrac%7B1%7D%7B2%7D%2B%5Cfrac%7B5%7D%7B22%7D%5Ctimes%20%5Cfrac%7B1%7D%7B2%7D%7D)
![P(B/W)=\dfrac{\frac{3}{14}}{\frac{3}{14}+\frac{5}{44}}](https://tex.z-dn.net/?f=P%28B%2FW%29%3D%5Cdfrac%7B%5Cfrac%7B3%7D%7B14%7D%7D%7B%5Cfrac%7B3%7D%7B14%7D%2B%5Cfrac%7B5%7D%7B44%7D%7D)
![P(B/W)=\dfrac{\frac{3}{14}}{\frac{132+70}{14\times 44}}](https://tex.z-dn.net/?f=P%28B%2FW%29%3D%5Cdfrac%7B%5Cfrac%7B3%7D%7B14%7D%7D%7B%5Cfrac%7B132%2B70%7D%7B14%5Ctimes%2044%7D%7D)
![P(B/W)=\dfrac{\frac{3}{14}}{\frac{202}{616}}](https://tex.z-dn.net/?f=P%28B%2FW%29%3D%5Cdfrac%7B%5Cfrac%7B3%7D%7B14%7D%7D%7B%5Cfrac%7B202%7D%7B616%7D%7D)
![P(B/W)=\dfrac{3\times 616}{14\times 202}](https://tex.z-dn.net/?f=P%28B%2FW%29%3D%5Cdfrac%7B3%5Ctimes%20616%7D%7B14%5Ctimes%20202%7D)
![P(B/W)=\dfrac{66}{101}](https://tex.z-dn.net/?f=P%28B%2FW%29%3D%5Cdfrac%7B66%7D%7B101%7D)
![P(B/W)=65.3\%](https://tex.z-dn.net/?f=P%28B%2FW%29%3D65.3%5C%25)
Therefore, the probability that the coin landed heads is 65.3%.
Answer:
Any Add on photos? Pictures of it?
Step-by-step explanation:
Answer:
if UW = 9x-9 then UW is 5 in units