All categories

2 years ago

True or False. To select 3 items out of 4 distinct objects, use C(4,3).

Mathematics

1 answer:

kenny6666 [7]2 years ago

6 0

Answer:

True.

Step-by-step explanation:

C(4, 3) means the number of combinations from 4 items taking 3 at a time. We are selecting 3 distinct items and it doesn't say anything about the order in which they are selected , so we use a combination formula not a permutation ( where order does matter).

C(4, 3) = 4! / 3! 1!

= 4*3*2*1 / 3*2*1*1

= 4.

There are 4 ways to select 3 items from 4.

You might be interested in

A fox leaves its den and travels 725 yards northeast, then 950 yards west. How far, in yards is the fox from its den

Alenkinab [10]

Answer:

1,675

Step-by-step explanation:

add it

7 0

2 years ago

What is the m for this slope?

Lerok [7]

Answer: -1/4

Step-by-step explanation:

Slope=rise/run

We rise 1 up

We run 4 to the left (making it negative)

8 0

2 years ago

Read 2 more answers

Book $22.50 markup percent 42% what is the markup and retail price.

sertanlavr [38]

I multiplied, I converted the percentage to a decimal .42
Your answer should be 9.45.

8 0

2 years ago

Read 2 more answers

Domain and Range for the function f(x)=5IXI is

shutvik [7]

Answer:

The domain of the function f(x) is:

$\mathrm{Domain\:of\:}\:5\left|x\right|\::\quad \begin{bmatrix}\mathrm{Solution:}\:&\:-\infty \:$

The range of the function f(x) is:

$\mathrm{Range\:of\:}5\left|x\right|:\quad \begin{bmatrix}\mathrm{Solution:}\:&\:f\left(x\right)\ge \:0\:\\ \:\mathrm{Interval\:Notation:}&\:[0,\:\infty \:)\end{bmatrix}$

Step-by-step explanation:

Given the function

$f\left(x\right)=5\left|x\right|$

Determining the domain:

We know that the domain of the function is the set of input or arguments for which the function is real and defined.

In other words,

Domain refers to all the possible sets of input values on the x-axis.

It is clear that the function has undefined points nor domain constraints.

Thus, the domain of the function f(x) is:

$\mathrm{Domain\:of\:}\:5\left|x\right|\::\quad \begin{bmatrix}\mathrm{Solution:}\:&\:-\infty \:$

Determining the range:

We also know that range is the set of values of the dependent variable for which a function is defined.

In other words,

Range refers to all the possible sets of output values on the y-axis.

We know that the range of an Absolute function is of the form

$c|ax+b|+k\:\mathrm{is}\:\:f\left(x\right)\ge \:k$

$k=0$

Thus, the range of the function f(x) is:

$\mathrm{Range\:of\:}5\left|x\right|:\quad \begin{bmatrix}\mathrm{Solution:}\:&\:f\left(x\right)\ge \:0\:\\ \:\mathrm{Interval\:Notation:}&\:[0,\:\infty \:)\end{bmatrix}$

7 0

2 years ago

Renee can see a 25 square foot quilt in 16 hours. Genera can sew the same size quilt in 12 hours. How long would it take them to

scoundrel [369]

28 hours because they are too long from each other

3 0

2 years ago

Read 2 more answers