What is the range of function g if g(x) = f(x) + 3

suppose we want to choose 5 letters, without replacement, from 13 distinct letters. (a) how many ways can this be done, if the o

CaHeK987 [17]

A. The number of possible ways can this be done, if the order of the choices is not taken into consideration is 1, 287 ways

B. The number of possible ways can this be done, if the order of the choices is taken into consideration is 154,440 ways

<h3>What is meant by permutation and combination?</h3>

Combination and permutation are two alternative strategies in mathematics to divide up a collection of components into subsets. The subset's components can be listed in any order when combined. The components of the subset are listed in a permutation in a certain order.

A. We want to select 5 objects from a total 13, without considering the order in which they are chosen.

The correct way to do this exists by utilizing the combination formula since order exists not considered;

Therefore, we have ; 13 C 5 read as 13 combination 5;

Let the equation of combination be n C r = n!/(n-r)!r!

substituting the values in the above equation, we get

13!/(13-8)!8! = 13!/5!8! = 1,287 ways

B. By considering order, we shall be using the permutation formula;

Let the equation of permutation be n P r = n!/(n-r)!

substituting the values in the above equation, we get

13 P 5 = 13!/(13-5)!

= 13!/(13-5)! = 13!/8! = 154,440 ways

To learn more about permutation and combination refer to:

brainly.com/question/11732255

#SPJ4

3 0

1 year ago

2(1 – 8x) = 1/2 (8 - 64x)

faust18 [17]

Answer:

$x=\frac{1}{8}$

Step-by-step explanation:

A quick review on PEMDAS, the order of how to solve an equation:

P - parentheses. When parentheses are being used, you have to do everything inside them before doing everything outside of them.

E - exponents. We'll skip these, since there aren't any exponents we need to worry about in this equation.

M/D - multiplication/division. I include these both together because they can be done at the same time.

A/S = addition/subtraction. Can also be done at the same time.

Some other things to note:

You add all the things with an x attached to it, and you add all the things without an x attached to it, and these never cross.

When you bring something from one side of an equal sign to another, you make it negative.

Let's solve for x using what we've learned:

$2(1-8x)=\frac{1}{2} (8-64x)\\2-16x=4-32x\\16x=2\\x=\frac{2}{16} \\x=\frac{1}{8}$

8 0

3 years ago

Cody is designing a pattern for a wood floor the length of the pieces of wood are 1 1/2 inches 1 13/16 inches and 2 1/8 inches w

erastovalidia [21]

Well, you only listed three pieces so far. But I can already see a
pattern emerging from those three.

Of course, the next piece might return to 1-1/2 inches. I mean,
the pattern can't just keep on going and increasing forever or
Cody would eventually wind up with pieces that are a mile long.
It must eventually return to 1-1/2 inches and start over from there.

From the first piece to the second one, and from the second one
to the third one, the increase is 5/16 inch both times. So if the
pattern is more than three pieces long before it starts over from
1-1/2, then the next piece is

(2-1/8 + 5/16) = (2-2/16 + 5/16) = 2-7/16 inches .

8 0

3 years ago

Simplify the ratio 70lbs to 42lbs to lowest terms

Anit [1.1K]

Simplify by dividing the two by 14

7 0

3 years ago

Barbara, Mark, and Carlos participated in the third heat of “The Big Race”. Barbara thought she could win with a 3 meter head st

steposvetlana [31]

Distance to travel = 20 m.
Let us determine the time, t, that each participant took to complete 20 m.

Barbara:
Average speed = (3 m)/(2 s) = 1.5 m/s
t = 20/1.5 = 13.3 s

Mark:
t = 5 s

Carlos:
y = x + 1
where
y = 20 m
x = time, t
Therefore
t =x = y - 1 = 20 - 1 = 19 s

Summary:
Barbara: 13.3 s
Mark: 5 s
Carlos: 19 s

Answer:
The winner is Mark

7 0

3 years ago