Answer:
multiply the cost by 0.18 to get the tip amount or multiply the cost by 1.18 to get the total including tip.
Step-by-step explanation:
Recall that for all t,
cos²(t) + sin²(t) = 1
Now,
x = 5 cos(t) - 7 ⇒ (x + 7)/5 = cos(t)
y = 5 sin(t) + 9 ⇒ (y - 9)/5 = sin(t)
so that substituting into the identity above, we get
((x + 7)/5)² + ((y - 9)/5)² = 1
which we can rewrite as
(x + 7)²/25 + (y - 9)²/25 = 1
(x + 7)² + (y - 9)² = 25
and this is the equation of a circle centered at (-7, 9) with radius 5.
Answer:
![P(\text{Male}|\text{Divorced})\approx0.092](https://tex.z-dn.net/?f=P%28%5Ctext%7BMale%7D%7C%5Ctext%7BDivorced%7D%29%5Capprox0.092)
Step-by-step explanation:
![\displaystyle P(\text{Male}|\text{Divorced})=\frac{P(\text{Male and Divorced})}{P(\text{Male})}=\frac{\frac{9.6}{214.7}}{\frac{104.5}{214.7}}\approx0.092](https://tex.z-dn.net/?f=%5Cdisplaystyle%20P%28%5Ctext%7BMale%7D%7C%5Ctext%7BDivorced%7D%29%3D%5Cfrac%7BP%28%5Ctext%7BMale%20and%20Divorced%7D%29%7D%7BP%28%5Ctext%7BMale%7D%29%7D%3D%5Cfrac%7B%5Cfrac%7B9.6%7D%7B214.7%7D%7D%7B%5Cfrac%7B104.5%7D%7B214.7%7D%7D%5Capprox0.092)
We can even break this down further by simply only looking at the total amount of males, and finding the proportion of males that are divorced, which is
, the same value.
Note that P(Male | Divorced) means the probability of choosing a male, given (|) that person is divorced.
Answer
Algebra
Step-by-step explanation:
Intermediate is the same as algebra 2
Use a proportion.
2 adults to 18 students is as x adults to 99 students.
2/18 = x/99
18x = 2 * 99
18x = 198
x = 11
Answer: 11 adults