The odds in favor are 3:3 which reduces to 1:1
There are 3 ways to get what we want, which is 4, 5 or 2. There are 3 ways to get what we don't want (1,3,or 6). So we list those two values as a ratio like so 3:3, which reduces to 1:1 after you divide both parts by 3.
Here's another example. If we wanted to know the odds in favor of rolling a 5 or 6, then the answer would be 2:4 which reduces to 1:2. This is because there are 2 ways to get what we want (rolling a 5 or 6) and 4 ways to get what we don't want (rolling either 1,2,3, or 4). The number of events we favor is listed first when it comes to "odds in favor" problems.
Answer:
(x−4)²+(y)²=1
Step-by-step explanation:
If you translate this into English, you get something like this:
The y value lies between -1 and 1, if the x value is between 3 and 5, This could very well be a circle with the center point M and a radius of 1.
The x-coordinate of the middle lies between 5 and 3, which is 4
The y-coordinate of the middle lies between -1 and 1, which is 0.
So the middle is (4 , 0) and radius is 1
The circle equation (xa) 2 + (yb) 2 = r 2
The circle with center M( a b ) and radius r has as a comparison:
(x - a)² + (y - b)² = r²
with a = 4 and b = 0 and r = 1
(x − 4)² + (y - 0)² = 1²
(x−4)²+(y)²=1
I think it would be 1, 2, and 5 but I am not completely sure. hope that helped ^^
Answer:
First, let's define two variables:
x = number of hours that you work at the Pollo Tropical per week
y = number of hours that you work at Jason's Deli per week
Now, you want to get enough money to go to Spring Break, we do not know how much money we need for this, so let's suppose that you need M.
With the given information, we know that the weekly earnings are:
x*$8 + y*$8.75
We can define this as the objetive function, the one that says how much money you get as a function of x and y:
M(x, y) = x*$8 + y*$8.75
Now, we know that:
"Pollo Tropical requires that you work at least 10 hours per week"
Then:
x ≥ 10
"Jason's Deli does not allow students to work more than 20 hours per week."
y ≤ 20
"you can't work more than 28 hours/week."
x + y ≤ 28
Then we have:
M(x, y) = x*$8 + y*$8.75
And the system of inequalities is:
x ≥ 10
y ≤ 20
x + y ≤ 28
Answer:
10, 11 , 16, 18 &19
Step-by-step explanation:
