Answer:
The probability that an athlete chosen is either a football player or a basketball player is 56%.
Step-by-step explanation:
Let the athletes which are Football player be 'A'
Let the athletes which are Basket ball player be 'B'
Given:
Football players (A) = 13%
Basketball players (B) = 52%
Both football and basket ball players = 9%
We need to find probability that an athlete chosen is either a football player or a basketball player.
Solution:
The probability that athlete is a football player = ![P(A)= \frac{13}{100}=0.13](https://tex.z-dn.net/?f=P%28A%29%3D%20%5Cfrac%7B13%7D%7B100%7D%3D0.13)
The probability that athlete is a basketball player = ![P(B)= \frac{52}{100}=0.52](https://tex.z-dn.net/?f=P%28B%29%3D%20%5Cfrac%7B52%7D%7B100%7D%3D0.52)
The probability that athlete is both basket ball player and football player = ![P(A\cap B) = \frac{9}{100}=0.09](https://tex.z-dn.net/?f=P%28A%5Ccap%20B%29%20%3D%20%5Cfrac%7B9%7D%7B100%7D%3D0.09)
We have to find the probability that an athlete chosen is either a football player or a basketball player
.
Now we know that;
![P(A\cup B)= P(A) + P(B) - P(A \cap B)\\\\P(A\cup B) = 0.13+0.52-0.09=0.56\\\\P(A\cup B) = \frac{0.56}{100}=56\%](https://tex.z-dn.net/?f=P%28A%5Ccup%20B%29%3D%20P%28A%29%20%2B%20P%28B%29%20-%20P%28A%20%5Ccap%20B%29%5C%5C%5C%5CP%28A%5Ccup%20B%29%20%3D%200.13%2B0.52-0.09%3D0.56%5C%5C%5C%5CP%28A%5Ccup%20B%29%20%3D%20%5Cfrac%7B0.56%7D%7B100%7D%3D56%5C%25)
Hence The probability that an athlete chosen is either a football player or a basketball player is 56%.
Since we are already given with the formula to solve for the coordinates of point L, all we have to do is to perform the necessary operation in the item. The formula for the coordinates of the midpoint is, M = ((5 + 1) / 2 , (3 - 7) / 2)performing the operation, M = (3, -2)Thus, the coordinates of point L are (3,-2).
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Answer:
Yes
12, 35, 37
16, 30, 34
20, 21, 29
No
18, 24, 42
Step-by-step explanation:
Required
Determine which length form a right triangle
To do this, we make use of Pythagoras theorem where the square of the largest length = the sum of the squares of the other lengths
So:
(1) 12, 35, 37 --- Yes
![37^2 = 35^2 + 12^2](https://tex.z-dn.net/?f=37%5E2%20%3D%2035%5E2%20%2B%2012%5E2)
![1369 = 1225 + 144](https://tex.z-dn.net/?f=1369%20%3D%201225%20%2B%20144)
![1369 = 1369](https://tex.z-dn.net/?f=1369%20%3D%201369)
(2) 16, 30, 34 --- Yes
![34^2 = 16^2 + 30^2](https://tex.z-dn.net/?f=34%5E2%20%3D%2016%5E2%20%2B%2030%5E2)
![1156 = 256 + 900](https://tex.z-dn.net/?f=1156%20%3D%20256%20%2B%20900)
![1156 = 1156](https://tex.z-dn.net/?f=1156%20%3D%201156)
(3) 18, 24, 42 --- No
![42^2 =18^2 + 24^2](https://tex.z-dn.net/?f=42%5E2%20%3D18%5E2%20%2B%2024%5E2)
![1764 =324 + 576](https://tex.z-dn.net/?f=1764%20%3D324%20%2B%20576)
![1764 =900](https://tex.z-dn.net/?f=1764%20%3D900)
![1764 \ne 900](https://tex.z-dn.net/?f=1764%20%5Cne%20900)
(4) 20, 21, 29 -- Yes
![29^2 = 20^2 + 21^2](https://tex.z-dn.net/?f=29%5E2%20%3D%2020%5E2%20%2B%2021%5E2)
![841= 400 + 441](https://tex.z-dn.net/?f=841%3D%20400%20%2B%20441)
![841= 841](https://tex.z-dn.net/?f=841%3D%20841)
−3(n+3)−10(8n+9)
(−3)(n)+(−3)(3)+(−10)(8n)+(−10)(9)
=−3n+−9+−80n+−90
=−3n+−9+−80n+−90
=(−3n+−80n)+(−9+−90)
=−83n+−99 <- ANSWER
the answer is 3000 pounds.
Step-by-step explanation:
1 ton is 2000 pounds so you just have to multiply 1500×2.