Answer:
ok sorry let me try to figure this one out because i dont kow how to do a tree diagram on here
Step-by-step explanation:
Hello, one way to see it is as below
![\displaystyle F(2)-F(1)=\int_1^2 F'(t) dt=\int_1^2 G'(t) dt=G(2)-G(1)](https://tex.z-dn.net/?f=%5Cdisplaystyle%20F%282%29-F%281%29%3D%5Cint_1%5E2%20%20F%27%28t%29%20%20dt%3D%5Cint_1%5E2%20%20G%27%28t%29%20%20dt%3DG%282%29-G%281%29)
Another way is to notice that F'(x)=G'(x) means that F(x) and G(x) are only different from a real constant that we can note a, it means that
![(\forall x \in \mathbb{R}) \ (F'(x)=G'(x)) => (\exists a \in \mathbb{R});(F(x)=G(x)+a)](https://tex.z-dn.net/?f=%28%5Cforall%20x%20%5Cin%20%5Cmathbb%7BR%7D%29%20%5C%20%28F%27%28x%29%3DG%27%28x%29%29%20%3D%3E%20%28%5Cexists%20a%20%5Cin%20%5Cmathbb%7BR%7D%29%3B%28F%28x%29%3DG%28x%29%2Ba%29)
and then F(2)-F(1)=G(2)-G(1)
thanks
Answer:
Y = -35
Step-by-step explanation:
Y = 7x
x = -5
Since we know what X equals, we can plug it in for X in the top equation. Then, we can solve for Y.
Y = 7 • -5
Y = -35
Answer:
90
Step-by-step explanation:
The answer is 90 different pairs. So if there are 10 topics and each will get 9 pairings, so the overall pairs you will get is 90.
Answer:
<em>The probability that a randomly selected government worker witnessed a violation of ethical standards, policies or laws in the past year but did not report it is </em><em>0.3</em>
Step-by-step explanation:
The outcome of the Washington- based nonprofit research group are that -
- P (60) -60% of government workers acknowledge witnessing violations of ethical standards, policies, or laws in the past year;
- P (40%) - of which went unreported.
- P (10) - An additional 10% of government workers acknowledged making false reports of violations of ethical standards, policies or laws when they did not actually occur.
∴ P(60%) + P(10%) = P(70) which is Probability of those that are involved in one form of violations or the other.
Therefore, P(100%) - P(70%) = 30%
P( Not committed and withnessed any violations of ethical standards, policie or law) = 30%/100%
<em>= 0.3</em>