Answer:
40 games
Step-by-step explanation:
So if they'll hire 40% women, and they're hiring 10 people, this means that they'll hire 4 women. And the rest of the people are all men, or 6 of them.
So basically, you can think of this like a tree, taking the men's side first, with 15 possible hires in the beginning, and then 14 more stemming off of that, and then 13 more stemming of those, etc.
So basically it would be:
15 * 14 * 13 * 12 * 11 * 10
Because there are four spots for men, and there were 15 men, and after every hire, there will be one less applicant, because there would've been one hire instead.
So;
15 * 14 * 13 * 12 * 11 * 10 = 3603600
And then women just do the same thing.
10 * 9 * 8 * 7 = 5040
Then just multiply those together as well.
18162144000 is your final answer.
Answer:
A) b) and c) answer has been explained below.
Step-by-step explanation:
For the question would use 1's and 0's and taking probabilities to be equal for both using random test pattern whose formula is when p = q
then Simplify to
P[k] = nCk /2^n
A.Probability that all bits are 1s
16c16/2^16 = 1/65536
B. Probability that all bits are 0s
16c0/2^16 = 1/65536
C.the probability that exactly 8 bits are 1s and 8 bits are 0s
16c8/2^16 = 12870/65536 =>0.1963 ≈ 19.63%
If x is a real number such that x3 + 4x = 0 then x is 0”.Let q: x is a real number such that x3 + 4x = 0 r: x is 0.i To show that statement p is true we assume that q is true and then show that r is true.Therefore let statement q be true.∴ x2 + 4x = 0 x x2 + 4 = 0⇒ x = 0 or x2+ 4 = 0However since x is real it is 0.Thus statement r is true.Therefore the given statement is true.ii To show statement p to be true by contradiction we assume that p is not true.Let x be a real number such that x3 + 4x = 0 and let x is not 0.Therefore x3 + 4x = 0 x x2+ 4 = 0 x = 0 or x2 + 4 = 0 x = 0 orx2 = – 4However x is real. Therefore x = 0 which is a contradiction since we have assumed that x is not 0.Thus the given statement p is true.iii To prove statement p to be true by contrapositive method we assume that r is false and prove that q must be false.Here r is false implies that it is required to consider the negation of statement r.This obtains the following statement.∼r: x is not 0.It can be seen that x2 + 4 will always be positive.x ≠ 0 implies that the product of any positive real number with x is not zero.Let us consider the product of x with x2 + 4.∴ x x2 + 4 ≠ 0⇒ x3 + 4x ≠ 0This shows that statement q is not true.Thus it has been proved that∼r ⇒∼qTherefore the given statement p is true.
We are given numbers 7.3 and 0.002475 .
We need to determine if 7.3 and 0.002475 numbers are rational or irrational numbers.
Rational numbers are the numbers can be written in fraction form p/q.
Where p is numerator and q is denominator.
7.3 could be written as 73/10.
Therefore, it's a rational number.
0.002475 could be written as 2475/1000000 and it's also a rational number.
<h3>Therefore, 7.3 and 0.002475 both are rational numbers.</h3>
