Answer:
Step-by-step explanation:
The slope-intercept of 4x-2y=3 is (-3/2) which is -1.5 in decimal form.
The slope-intercept of 3y+x=5 is (5/3) which is 1.666...
If I were you, I would select the first equation to put in y=mx+b form so that you can substitute it in to the second one. What you do is you subtract the x from the left side and bring it over to the right and then you divide everything by 5. The y=mx+b equation is y=-1/5x-7. Then, you substitute this equation into the bottom one so you are now working only with x's. You should distribute and combine like terms. When you distribute and clean it up, at the end you should get 18/5x-14=8. You then add 14 to get 22 on the right side and then multiply that by the reciprocal of the fraction. When you multiply 22 by 5/18, you should get a reduced fraction of 55/9. You then substitute this value into either equation to get the y-value. You should get a y-value of -260/45. Your answer as an ordered pair should be (55/9,-260/45).
The answer would be x=2 or x=5
Answer:
(a) 1/3
(b) 1/15
Step-by-step explanation:
(a)Let X denote the waiting time in minutes. It is given that X follows a uniform distribution, and since the variable being measured is time, we assume it to be a continuous uniform distribution.
![\[f_X(x) =\begin{cases} \frac{1}{30} & 0\leqx\leq 30\\ 0 & otherwise \end{cases}\]](https://tex.z-dn.net/?f=%20%5C%5Bf_X%28x%29%20%3D%5Cbegin%7Bcases%7D%20%5Cfrac%7B1%7D%7B30%7D%20%26%200%5Cleqx%5Cleq%2030%5C%5C%200%20%26%20otherwise%20%5Cend%7Bcases%7D%5C%5D)
Now
.
Jack or Rose arriving first is equally likely, therefore the probability of Jack waiting is just the half of the above obtained probability i.e 
(b)Using the formula for the expectation of a uniform continuous distribution,
