9514 1404 393
Answer:
524,160
Step-by-step explanation:
Assuming order matters, it is the number of permutations of 16 things taken 5 at a time:
16P5 = 16!/(16-5)! = 16·15·14·13·12 = 524,160
_____
The first passenger can pick any of 16 seats; the second can pick any of 15 remaining seats; and so on until all 5 passengers have chosen a seat. The number of possible different arrangements is the number shown above.
The lower bound is the smallest value that would round up to the estimated value. A quick way to calculate upper and lower bands is to halve the degree of accuracy specified, then add this to the rounded value for the upper bound and subtract it from the rounded value for the lower bound.
Answer:
Step-by-step explanation:
Examples of corresponding angles:
2 and 6, 4 and 8, 1 and 5, and 3 and 7.
This one can besolved using system of equations. From the first statement we can assume that
length = 2 * width. The area of rectange equals product of it's width and length. By knowing that and following to the second statement we get the second equation:
(3 * width) * (length - 5) = width * length + 4. Let's mark the
width as
x and the
length as
y and write down our equations system:
Using substituion method, lets replace every
y with
2x within second equation and solve it:
Now lets find the discriminant in order to solve this quadratic equation:
The second root is negative, so we ignore it as
x represents width which can't be negative.
Now, using found root, let's find
y value from the first equation:
So,
the width is equal 4 (and the length is equal 8).
Answer:
1/6
Step-by-step explanation:
1 - 5/6
We need to get a common denominator of 6
1*6/6 - 5/6
6/6 -5/6
1/6