Answer:
$40.50 will be taken out in taxes.
Step-by-step explanation:
First, solve for how much Naomi will receive in a paycheck:
$225 + $50(9)
$225 + $450
$675
Now, solve for 6% tax:
$675 × 0.06
$40.50
Given that there are 12 persons, the first choice may be in 12 different ways, the second choice may be in 11 different ways, ther third in 10 different ways, the fourth in 9 different ways and the fith in 8 different ways, for a total of:
12x11x10x9x8 different combinations.
Now you have to take in account that 5x4x3x2 are repetitions. So you have to divide the previos counting by 5x4x3x2.
(12x11x10x9x8)/(5x4x3x2) = 792 different subcommittees.
Also, you can use the formula for combinations: C(m,n) = m! / (n! (m-n)!)
C (12, 5) = 12! / (5!) (12-5)! = [12x11x10x9x8x7!] / [5! 7!] = [12x11x10x9x8]/[5x4x3x2] = 792
Answer:
Step-by-step explanation:
slope=(0-3)/(3-0)=-3/3=-1
y intercept=3
eq. of line is y=-x+3
The moment-generating function for y is given as eⁿᵇ - eⁿᵃ / n(b-a) and derivation of moment-generating function of y is e-1/t
Given that,
The interval (0, 1) is covered by a uniform distribution of y, and a > 0 is a constant.
The moment generating function is eⁿᵇ - eⁿᵃ / n(b-a)
The given interval is (0,1)
Here a =0;
b=1;
Now substitute the values of a and b in the above moment generating function we get,
y=eⁿᵇ - eⁿᵃ / n(b-a)
y=e^1-e^0/t(1-0)
y= e-1/t
Therefore, the derivation of the moment generating function is e-1/t
Learn more about moment-generating function here:
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Answer:
x > 3
Step-by-step explanation:
2x+9<4x+3
or, 9-3<4x-2x
or, 6<2x
or, (6/2)<x
or, 3<x
or, x >3
