70%
7 out of ten slips will be a multiple of 2 or 3<span />
<span>Domain
All Real Numbers except with sin(3x)=0, i.e.,
All Real Numbers except x = 0 or pi/3 etc
Range::: All Real Numbers
- Period = (2pi/3) = (2/3)pi
-
- Two Vertical Asymptotes:: x = 0 and x = pi/3</span>
Answer:
Probability that point chosen is in large circle but not in shaded region:
P = 84%
Step-by-step explanation:
Given that
r = 2 inches
R = 5 inches
<h3>Area of Small circle (shaded region):</h3>
![A=\pi{r}^2\\A=\pi(2)^2\\A=12.56 in^2](https://tex.z-dn.net/?f=A%3D%5Cpi%7Br%7D%5E2%5C%5CA%3D%5Cpi%282%29%5E2%5C%5CA%3D12.56%20in%5E2)
<h3>Area of Large circle:</h3><h3>
![A=\pi{r}^2\\A=\pi(5)^2\\A=78.5in^2](https://tex.z-dn.net/?f=A%3D%5Cpi%7Br%7D%5E2%5C%5CA%3D%5Cpi%285%29%5E2%5C%5CA%3D78.5in%5E2)
</h3><h3>Probability of Point being chosen is inside shaded region:</h3><h3>
![P=\frac{12.56}{78.5}\\P=0.16\\P=16\%](https://tex.z-dn.net/?f=P%3D%5Cfrac%7B12.56%7D%7B78.5%7D%5C%5CP%3D0.16%5C%5CP%3D16%5C%25)
</h3><h3>Probability of Point being chosen is NOT inside shaded region:</h3>
P = 100% - 16%
P = 84%
Answer:
4 over 5
Step-by-step explanation:
36 divided by 9 is 4 and 45 divided by 9 is 5. so the answer is 4/5