Answer:
0.164 = 16.4% probability that at least one color will be missing from the 10 selected balls.
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
Determine the probability that at least one color will be missing from the 10 selected balls.
Red missing:
Each time, there are 55 + 25 = 80 non-red balls, out of 100. So, in each of the 10 trials, 80% = 0.8 probability of not picking a red ball. The probability that no red ball is picked is given by:
(0.8)^10 = 0.1074
White missing:
55 + 20 = 75 non-white balls, out of 100, in each trial. The probability that no white ball is picked is given by:
(0.75)^10 = 0.0563
Blue missing:
45 non-blue balls, out of 100. The probability that no blue ball is picked is given by:
(0.45)^10 = 0.0003
Total:
0.1074 + 0.0563 + 0.0003 = 0.164
0.164 = 16.4% probability that at least one color will be missing from the 10 selected balls.
Answer:
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Step-by-step explanation:
Have a good day :)
Answer:
percentage of the total capacity is 75.6%
Step-by-step explanation:
Hello! To solve this problem we follow the following steps
1. draw the complete scheme of the problem (see attached image)
2. To solve this problem we must find the area of the circular sector using the following equation.(c in the second attached image)


3. observing the attached images we replace the values in the equations and find the area of the circular sector, remember that you must transform the angle to radians


4.we calculate the area of the total circle (At), then subtract the area of the circular sector (Ac) to find the area occupied by water (Aw)

Aw=At-Ac=153.93-37.57=116.36ft^2
5.Finally, we calculate the percentage that represents the water in the tank by dividing the area of the water over the total area of the tank

percentage of the total capacity is 75.6%
(4,-8)
Step-by-step explanation:
from -5 to -1 you would have to count from 1 to 4. and do the same for -8 to -16
Answer:
Step-by-step explanation:
Let two consecutive odd numbers
x, x+2
According to condition
X(x+2) = 899
x2 +2x -899=0
X2 +31x -29x -899=0
x(x+31) -29(x+31)=0
(x+31)(x-29)=0
X=-31 or x =29
Now,
X=29
X+2= 29+2 = 31
Two consecutive odd numbers is 29 and 31