Answer:
(- 2, 3 )
Step-by-step explanation:
Given the 2 equations
x + y = 1 → (1)
2y - x = 8 → (2)
Adding the 2 equations term by term will eliminate the x- term
(x - x) + (y + 2y) = (1 + 8), that is
3y = 9 ( divide both sides by 3 )
y = 3
Substitute y = 3 into either of the 2 equations and solve for y
Substituting y = 3 in (1)
x + 3 = 1 ( subtract 3 from both sides )
x = - 2
Solution is (- 2, 3 )
Answer:
x > 9
Step-by-step explanation:
Hello!
First let's solve the inequality for x.
<u>Flip the sign if you are dividing by a negative number.</u>
<h3>Solve for x</h3>
Now let's graph it on a number line. If it is a greater or less than symbol, we use an open circle. If it is a greater than or equal to or a less than or equal to, we use a closed circle.
Plot the point of 9 with an open circle, and shade in a line towards the right (all values greater than 9).
99 + 2 = 101
Hope this helps!!!!
Answer:
3 full miles; anything less than 4 miles
Step-by-step explanation:
5 + 2.50x = 15
subtract 5 from both sides
2.50x = 10
divide both sides by 2.50
x = 4
4 miles is how long he can travel by spending all $15
Anything less will cost him less than $15
Answer with Step-by-step explanation:
In case of Bernoulli trails
The probability that a random variable occurs 'r' times in 'n' trails is given by
![P(E)=\binom{n}{r}p^r(1-p)^{n-r}](https://tex.z-dn.net/?f=P%28E%29%3D%5Cbinom%7Bn%7D%7Br%7Dp%5Er%281-p%29%5E%7Bn-r%7D)
where
'p' is the probability of success of the event
Part a)
probability that no contamination occurs can be found by putting r = 0
Thus we get
![P(E_1)=\binom{5}{0}0.1^0(1-0.1)^{5}=0.5905](https://tex.z-dn.net/?f=P%28E_1%29%3D%5Cbinom%7B5%7D%7B0%7D0.1%5E0%281-0.1%29%5E%7B5%7D%3D0.5905)
part b)
The probability that at least 1 contamination occurs is given by
![P(E)=1-(1-p)^{n}](https://tex.z-dn.net/?f=P%28E%29%3D1-%281-p%29%5E%7Bn%7D)
Applying values we get
![P(E_2)=1-(1-0.1)^{5}=0.4096](https://tex.z-dn.net/?f=P%28E_2%29%3D1-%281-0.1%29%5E%7B5%7D%3D0.4096)