Answer:
the first number in this sequence is 6....
Step-by-step explanation:
First number = x
2nd number = x+2
3rd consecutive even number = x+4
4th consecutive even number = x+6
Therefore,
By adding these numbers:
x+x+2+x+4+x+6= 36
Add the like terms:
4x+12=36
Combine the constants:
4x=36-12
4x=24
Divide both the terms by 4
4x/4 = 24/4
x= 6
Thus the first number in this sequence is 6....
Answer:
A) 40/49
B) 36/42
Step-by-step explanation:
Given:
Red Balls, R : 4
White Balls, W : 3
Total Balls : 3+4=7 balls
A) If balls were replaced before the 2nd draw
P (White) = 3/7; P(Red) = 4
P(at least 1 red ball),
= 1 - P(no red balls)
= 1 - P(White, White)
= 1 - (3/7)(3/7)
= 1-(9/49)
= 40/49
A) If balls were replaced before the 2nd draw
P(1st White Ball) = 3/7 ; P(2nd White Ball) = 2/6
P(at least 1 red ball),
= 1 - P(no red balls)
= 1 - P(1st White, 2nd White)
= 1 - (3/7)(2/6)
= 1 - 6/42
= 36/42
Answer:
13/4096
Step-by-step explanation:
There are 12 ways the player can make 11 shots and miss one shot, and there is 1 way the player can make all shots, so there is a total of 13 ways that the player makes at least 11 out of 12 free throws.
The total number of possibilities for the free throws is 2^12 = 4096
Therefore, the probability that the player makes at least 11 out of 12 free throws is 13/4096
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