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3 years ago

Which of the following situations involve a permutation?

Mathematics

1 answer:

alina1380 [7]3 years ago

8 0

Answer:

A, B, E

Step-by-step explanation:

Permutations are involved when order matters, as in lane assignment, passwords, and seating charts.

When the end result is a "group of 10 students", "3 employees", or "4 cashiers", clearly order does not matter. One student, employee, or cashier is as good as another in these cases.

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10 points<br> Multiply (3.5x10^-6)x(2x10^-4) *

Molodets [167]

Answer:

Step-by-step explanation:

Multiply 3.5 and 2 together, obtaining 7.

Then add the exponents -6 and -4, obtaining -10.

The product is thus 7·10^(-10), or, after simplification,

7·10^(-9), or

----------

10^9

8 0

3 years ago

Suppose a ball is dropped from a height of 16 feet. Each time it drops h feet, it rebounds 0.81h feet. Find the total distance t

Roman55 [17]

When the ball is first dropped, it falls $h$ feet. On the first bounce, it rebounds $0.81h$ feet, which means on the second "drop" it must travel $0.81h$ feet again. On the second bounce, the ball rebounds $0.81(0.81h)=0.81^2h$ feet, and on the third drop falls the same distance. And so on.

So there are two directions to track:

$\text{downward: }\displaystyle h+0.81h+0.81^2h+\cdots=\sum_{n=0}^\infty 0.81^nh$
$\text{upward: }\displaystyle 0.81h+0.81^2h+\cdots=\sum_{n=1}^\infty 0.81^nh$

The total distance is the sum of these two:

$\displaystyle\sum_{n=0}^\infty 0.81^nh+\sum_{n=1}^\infty 0.81^nh=h+2h\sum_{n=1}^\infty 0.81^n$

Recall that for an infinite geometric sum, you have

$\displaystyle\sum_{n=0}^\infty r^n=1+\sum_{n=1}^\infty r^n=\frac1{1-r}$

provided that $|r|$ . So the total distance traveled by the ball is

$h+2h\left(\dfrac1{1-0.81}-1\right)\approx9.53h$

Starting with a height of $h=16$ means the total distance is about 152.42 ft.

4 0

3 years ago

The bill at a restaurant is $28.48, not including tax. A family wants to leave an 18% tip. How much money

Nezavi [6.7K]

Answer:

5.13

Step-by-step explanation:

5 0

3 years ago

An interior angle of a regular polygon has a measure of 108°. what type of polygon is it? pentagon hexagon octagon nonagon

melamori03 [73]

$Exterior \ = \ supplement
\\ 180-108 = 72
\\ 360/72 = 5
\\ Polygon \ is \ a \ pentagon.$

7 0

4 years ago

Read 2 more answers

Which of the following is the solution to | x -12 | < 15

KiRa [710]

Hello,
Answer D -3<x<27
Indeed:
1)
if x-12≥0 then x≥12 and
|x-12|=x-12x-12<15 → x<27
so 12≤x<27
2) if x-12<0 then
x<12 and|x-12|=-(x-12)<15
-x+12<15-x<3 → x>-3
So -3<x<12
Thus -3<x<12 U 12≤x<27 ⇔ -3<x<27

7 0

3 years ago