Answer:
The probability that they each win six games is 0.225.
Step-by-step explanation:
Given : A computer chess game and a human chess champion are evenly matched. They play twelve games.
To find : The probability that they each win six games?
Solution :
Applying binomial distribution,
Here n=12 and p=0.5
The probability that they each win six games is k=6.
Therefore, The probability that they each win six games is 0.225.
Answer:
9x + 3 = 7x + 19
Step-by-step explanation:
Given that,
Jeffrey set up chairs for a meeting.
He arranged the chairs in 9 equal rows but had 3 chairs left over.
Let x be the number of chairs. So,
9x+3 .....(1)
Then he arranged the chairs in 7 equal rows but had 19 chairs left over. So,
7x+19 ......(2)
From equation (1) and (2),
9x+3 = 7x+19
9x-7x = 19-3
2x = 16
x = 8
Hence, the correct option is (b).
Answer:
A. -12h² - 22h + 14
Step-by-step explanation:
(-4h +2)(3h +7) = -4h(3h +7) +2(3h +7) . . . . . . . (a +b)c = ac +bc
= (-4h)(3h) + (-4h)(7) + (2)(3h) + (2)(7) . . . . . . . a(b +c) = ab +ac . . . (twice)
= -12h² -28h +6h +14
= -12h² -22h +14 . . . . . . . . collect terms
Answer:
5 1/6
Step-by-step explanation:
Rewriting our equation with parts separated
=8+2/4−3−1/3
Solving the whole number parts
8−3=5
Solving the fraction parts
2/4−1/3=?
Find the LCD of 2/4 and 1/3 and rewrite to solve with the equivalent fractions.
LCD = 12
6/12−4/12=2/12
Reducing the fraction part, 2/12,
2/12=1/6
Combining the whole and fraction parts
5+1/6=5 1/6
