6x⁴ + 7x² - 10
6x⁴ - 5x² + 12x² - 10
x²(6x²) - x²(5) + 2(6x²) - 2(5)
x²(6x² - 5) + 2(6x² - 5)
(x² + 2)(6x² - 5)
Answer: C (partnership)
Step-by-step explanation: Apex
Answer:
0.1274
Step-by-step explanation:
Let X be the random variable that measures the number of children who get their own coat.
Then, the expected value of X is
E[X] = 1P(X=1) + 2P(X=2)+3P(X=3)+...+10P(X=10)
The probability that a child gets her or his coat is
P(X=1) = 1/10
To compute the probability that 2 children get their own coat, we notice that there are 10! possible permutations of coats. The two children can get their coat in only one way, the other 8 coats can be arranged in 8! different positions, so the probability that 2 children get their own coat is
P(X=2) = 8!/10! = 1/(10*9) and
2P(X=2) = 2/(10*9)
Similarly, we can see that the probability that 3 children get their own coat is
P(X=3) = 7!/10! = 1/(10*9*8) and
3P(X=3) = 3/(10*9*8*7)
and the expected value of X would be
E[X] = 1/10 + 2/(10*9) + 3/(10*9*8)+...+10/10! = 0.1274
Answer:
170
Step-by-step explanation:
unless you are rounding to the hundred and it would be 200
The remaining balance would be $3,600.
$6,300/7 = 900 x 3 = $2,700
$6,300 - $2,700 = $3,600