Answer:
B
Step-by-step explanation:
There is a vertical asymptote at x=3. It is not defined and therefore not included in the domain.
All other numbers are included in the domain.
30% = 3/10
Number of hours you sleep = 24hours × 3/10
= 24hours ÷ 10 × 3
= 2.4hours × 3
= 7.2hours
Hope this helps! :)
Answer:
![Pr = \frac{1}{15}](https://tex.z-dn.net/?f=Pr%20%3D%20%5Cfrac%7B1%7D%7B15%7D)
Step-by-step explanation:
Given
See attachment for sample space
Required
![P(1\ Y\ and\ 1\ P)](https://tex.z-dn.net/?f=P%281%5C%20Y%5C%20and%5C%201%5C%20P%29)
From the attached sample space, we have:
---- total outcomes
--- outcomes with 1 Y and 1 P = 2 i.e. (P,Y) and (Y,P)
So, the required probability is:
![Pr = \frac{n(PY)}{n(S)}](https://tex.z-dn.net/?f=Pr%20%3D%20%5Cfrac%7Bn%28PY%29%7D%7Bn%28S%29%7D)
![Pr = \frac{2}{30}](https://tex.z-dn.net/?f=Pr%20%3D%20%5Cfrac%7B2%7D%7B30%7D)
![Pr = \frac{1}{15}](https://tex.z-dn.net/?f=Pr%20%3D%20%5Cfrac%7B1%7D%7B15%7D)
<em>The error is that; Carlos omitted the numerator</em>
6-y=4
6=4+y
2=y
The answer for Y would be 2
Answer:
1 / 16
Step-by-step explanation:
Number of options = 4
Number of correct answers = 1
Number points gained for a correct answer = 1
Number of points lost for an incorrect answer = 1/4 = 0.25
Probability of choosing a correct option = 1/4
Probability of choosing an incorrect option = 3/4
x ____ 1 ______ - 1/4
P(x) __ 1/4 ______ 3/4
Expected gain or loss :
E(x) = Σx*p(x)
E(x) = (1 * 1/4) + (-1/4 * 3/4)
E(x) = 1/4 - 3/16
E(x) = (4 - 3) / 16
E(x) = 1 /16
A gain of 1/16