Answer:
1.) 90 ways
2.) 15,600 ways
3.) 24 ways
Step-by-step explanation:
1.) Let's say we are given 2 digits not equal to each other...The number of different orderings would be 2*1 = 2, or if we wanted the number of ways to order 2 digits chosen : 10*9 = 90 ways
2.) The number of ways to arrange 3 letters from 26 letters is:
26 Permutes 3 = 26! / (26 -3)! = 26*25*24 = 15,600 ways to choose 3 letters in a certain order
3.) 4 different chores. The number of ways to do them = 4*3*2 *1 = 24 ways
Answer:

Step-by-step explanation:
The standard equation of a circle is given by:

Where (<em>h, k</em>) is the center and <em>r</em> is the radius.
We are given that the center is (4, -7) and that the radius is √(43).
So, <em>h</em> = 4, <em>k</em> = -7, and <em>r</em> = √(43). Substitute:

Simplify. Hence, our equation is:

Answer:
13x+y=135
2x+2y=30
because when you substitute x (10) and y(5) you come out with the answer given to the equation
Answer:
3x(x^2 + 4x + 12)
Step-by-step explanation:
All factors can be divided by 3 as well as x, so 3x goes into the whole expression.
I would appreciate brainliest, have an amazing day!
Answer:
- p(green) = 0.5
- odds in favor of green: 1 : 1
Step-by-step explanation:
There are 5 green marbles among the 10 in the bag, so the probability of drawing one at random is 5/10 = 0.50.
The odds in favor of drawing a green marble will be the ratio of the number of green marbles to the number that are not green: 5 : 5. Usually, the odds are expressed using integers with no common factors, so they would be written as 1 : 1.