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,
Answer:
p(x) is reflected over the x axis and is shrunken vertically by a factor of 2/3.
Step-by-step explanation:
Hope this helps.
Ashley is wrong. I have no clue what a placement chart is but I'll solve it anyway.
(5/10)x100 = (5x100)/10 = 500/10 = 50
<span>The <u>correct answers</u> are:
x=-3 and x=-8.
Explanation<span>:
We can first write this in standard form, ax</span></span>²<span><span>+bx+c=0. To do this, we will add 11x to both sides:
x</span></span>²<span><span>+24+11x=-11x+11x
x</span></span>²<span><span>+11x+24=0.
Now we can factor this. Look for factors of c, 24, that sum to b, 11. Factors of 24 are:
1 and 24 (sum 25)
2 and 12 (sum 14)
3 and 8 (sum 11)
4 and 6 (sum 10).
The factors we need are 3 and 8, since they sum to 11. This gives us factored form:
(x+3)(x+8)=0.
Using the zero product property, we know that in order to have a product of 0, one or both of the factors must be 0. This means we have:
x+3=0 or x+8=0.
Solving the first equation:
x+3-3=0-3
x=-3.
Solving the second equation:
x+8-8=0-8
x=-8.</span></span>
Answer:
The area and circumference is/are both 4π
Step-by-step explanation:
Formula for the circumference: 2πr
Formula for the area: πr²
2×π×2=4π
The circumference is 4π
π×2²= 4π
The area is 4π
