Answer:
720 different ways.
Step-by-step explanation:
Permutation has to do with arrangement. For example, in order to arrange 'n' objects in any order, this can only be done in n! ways since there is no condition or restriction on how to arrange the objects.
n! = n(n-1)(n-2)... (n-r)!
If there are 3 statistics books, 2 math books, and 1 computer science book on your bookshelf, the total number of books altogether is 3 + 2 + 1 = 6 books.
The number of ways that 6 books can be arranged in any order is 6!.
6! = 6(6-1)(6-2)(6-3)(6-4)(6-5)
6! = 6*5*4*3*2*1
6! = 120*6
6!= 720 different ways.
<em>Hence, the books on your shelf can be arranged in 720 different ways</em>.
Probability that Eli will get a blue pen: 6 / 13 ( there are 6 blue pens and 13 pens together ).
Probability that Eli will not get the pink highlighter: 6 / 9 ( yellow + green = 4 + 2 = 6 and there are 9 together ).
P = 6/13 · 6/9 = 6/13 · 2/3 = 2/13 · 2 = 4/13 = 0.3077 = 30.77%.
Answer:
The probability is 4/13 or 30.77%.
Unsure of whether this is a composite function or not. It does look like you've multiplied f(x) and g(x) together.
Looking at <span>-30x2 - 9x + 12, we see immediately that this is a polynomial function. Because of that, the domain is the set of all real numbers. The graph of this poly opens down, so the max value is at the vertex, x = -b / (2a).
Here a= -6 and b= -9, so this x-value is -(-9) / (2*(-6)), or x = 9/12, or x = 3/4.
By subst. 3/4 for x in the poly., we find that the max y value is 4.83. Thus,the rante is (-infinity, 4.83].</span>
200,000 tons. There are 2000 lbs in a ton so do 4,000,000,000 divided by 2000 and you get 200,000