Answer:
11/15=x/240
240/15=16
11 x 16=176
11/15=176/240 or rather he completes 176 passes
Step-by-step explanation:
Answer:
0.362
Step-by-step explanation:
When drawing randomly from the 1st and 2nd urn, 4 case scenarios may happen:
- Red ball is drawn from the 1st urn with a probability of 9/10, red ball is drawn from the 2st urn with a probability of 1/6. The probability of this case to happen is (9/10)*(1/6) = 9/60 = 3/20 or 0.15. The probability that a ball drawn randomly from the third urn is blue given this scenario is (1 blue + 5 blue)/(8 red + 1 blue + 5 blue) = 6/14 = 3/7.
- Red ball is drawn from the 1st urn with a probability of 9/10, blue ball is drawn from the 2nd urn with a probability of 5/6. The probability of this event to happen is (9/10)*(5/6) = 45/60 = 3/4 or 0.75. The probability that a ball drawn randomly from the third urn is blue given this scenario is (1 blue + 4 blue)/(8 red + 1 blue + 1 red + 4 blue) = 5/14
- Blue ball is drawn from the 1st urn with a probability of 1/10, blue ball is drawn from the 2nd urn with a probability of 5/6. The probability of this event to happen is (1/10)*(5/6) = 5/60 = 1/12. The probability that a ball drawn randomly from the third urn is blue given this scenario is (4 blue)/(9 red + 1 red + 4 blue) = 4/14 = 2/7
- Blue ball is drawn from the 1st urn with a probability of 1/10, red ball is drawn from the 2st urn with a probability of 1/6. The probability of this event to happen is (1/10)*(1/6) = 1/60. The probability that a ball drawn randomly from the third urn is blue given this scenario is (5 blue)/(9 red + 5 blue) = 5/14.
Overall, the total probability that a ball drawn randomly from the third urn is blue is the sum of product of each scenario to happen with their respective given probability
P = 0.15(3/7) + 0.75(5/14) + (1/12)*(2/7) + (1/60)*(5/14) = 0.362
Answer:
85
Step-by-step explanation:
if the top half is 180° and one side is 95° then the other side is 85°
Um,
We know that the total interior angle in this parallelogram is 360° because there is the formula that help you with it:
180°(n-2) where n represent the total side of the figure, so
180°(4-2)
=180°(2)
=360°
Next, We see that angle L and angle N are equal with each other, and so angle O and M. Now, we have this equation:
(x+40°)+(x+40)°+(3x)°+(3x)°=360°
x°+40°+x°+40°+3x°+3x°=360°
8x°+80°=360°
Subtract 80° for both side
8x°+80°-80°=360°-80°
8x°=280°
x=35°
Angle O:
3x°
=3(35)°
=105°. As a result, angle O is 105°. Hope it help!
The answer to this problem is simple to find the answer we must see the keywords in the sentence on of is how many which can mean addition/multiplication so here the problem is increasing in a rate of 3 3x1=3
3x2=6 3x3=9 and so on 3x7=21 your answer is 21
