7+3 = 10 total marbles
1st pick = 7/10 for a red one
2nd pick = 6/9 reduces to 2/3 for a red one
3rd pick = 3/8 for a white one
7/10 x 2/3 =14/30 reduces to 7/15
7/15 x 3/8 = 21/120 reduces to 7/40
probability = 7/40
29 minutes- at a rate of 1,000 feet a minute, it would take 32 minutes to reach sea level (32,000/1000=32)but if you subtract 3000 from 32000 to remain 3000 feet above sea level, you have 29000 feet to descend which will take 29 minutes
Answer:
x = -52
Step-by-step explanation:
1/3x-2/3=-18
Multiply each side by 3 to clear the fractions
3(1/3x-2/3)=-18*3
x - 2 = -54
Add 2 to each side
x-2+2 = -54+2
x = -52
Answer:
Graces expect her Favorite team can win 99 games.
Step-by-step explanation:
Total games needs to be played = 162
So far graces favorite team won 11 games and lost 7 games
Games Won = 11
Games lost = 7
Total games played till now = Games Won + Games Lost = 11 +7 =18
Now we will find the winning percentage of the team.
Winning percentage can be calculated by dividing Games won with total games played till now and the multiplied with 100
Winning Percentage = 
We need to find Total games team can win at same rate.
Games team can win can be calculated by multiplying Total games needs to be played this season with Winning Percentage.
Games team can win = 
Hence Graces can expect her favorite can win approximately 99 games.
Answer: The p-value is 0.154.
Step-by-step explanation:
Since we have given that
We claim that
Null hypothesis :

Alternate hypothesis :

Population mean = 20 hours
Sample mean = 18.5 hours
Sample standard deviation = 4.3 hours
Sample size n = 35
So, test statistic would be

So, the p value would be 0.154.
Hence, the p-value is 0.154.