Answer:
I think it is 8
Step-by-step explanation:
I did the math on paper
14/99
Select 1 marble; the chance that it is white is 4/12. Select a 2nd marble; the chance that it is white is 3/11. Select a 3rd; the chance it is white is 2/10. Select a 4th; the chance it is red is 8/9. Select a 5th; the chance it is red is 7/8. The chance of getting this specific set of 5 marbles in this order is (4/12)×(3/11)×(2/10)×(8/9)×(7/8)=(2×7)/(11×10×9).
This specific set could occur in the permutation of 5 things taken 5 at a time where 3 are identical (white), and the other 2 are also identical (red). The formula for this is 5!/(3!2!)=10.
Combining the chance of getting white, white, white, red, red with the number of ways 3 white and 2 red could have been distributed in the draw of 5 marbles gives the answer:
{(2×7)/(11×10×9)}×10=14/99
A similar process will show that the chance of getting 5 red marbles is 7/99; 4 white and 1 red is 1/99; 2 white and 3 red is 42/99; and 1 white and 4 red is 35/99.
Answer:
1. 30
2. 150
Step-by-step explanation:
Lets assume tan(x) = u
Now we solve for 'u'
add 1 on both sides
, divide both sides by 3
Take square root on both sides
We replace tan(x) for 'u'
x = 30 because 
in first quadrant
x = 30 (tan is positive in first quadrant)
x = 150 because 
in second quadrant
tan is negative in second quadrant
If a flight departs from Pittsburgh at 7:55 a.m. and arrives in San Diego at 9:20 a.m.,
How long is the flight?
SOLUTION
9. 20 am - 7. 55 am = 1 hour 25 mins
Answer:
Step-by-step explanation: let 2:3:5:8 be 2x,3x,5x,8x respectively .
*angles in a quadrilateral is 360 degree
*2x+3x+5x+8x=360
*18x=360
*x=360/18
*x=20
now substitute x in these:
2x=2x20=40
3x=3x20=60
5x=5x20=100
8x=8x20= 160
so these are the following angles: 40,60,100 and 160
