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3 years ago

PLEASE ASNWER MY LAST QUESTIONNNN!!! Have a good day!!

Mathematics

2 answers:

elena-s [515]3 years ago

6 0

There is no picture....

Dmitrij [34]3 years ago

5 0

Answer:

free points :)

Step-by-step explanation:

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A special type of door lock has a panel with five buttons labeled with the digits 1 through 5. This lock is opened by a sequence

belka [17]

There are several ways the door can be locked, these ways illustrate combination.

There are 3375 possible combinations

From the question, we have:

$\mathbf{n = 5}$ --- the number of digits

$\mathbf{r = 3}$ ---- the number of actions

Each of the three actions can either be:

Pressing one button
Pressing a pair of buttons

The number of ways of pressing a button is:

$\mathbf{n_1 = ^5C_1}$

Apply combination formula

$\mathbf{n_1 = \frac{5!}{(5-1)!1!}}$

$\mathbf{n_1 = \frac{5!}{4!1!}}$

$\mathbf{n_1 = \frac{5 \times 4!}{4! \times 1}}$

$\mathbf{n_1 = 5}$

The number of ways of pressing a pair is:

$\mathbf{n_2 = ^5C_2}$

Apply combination formula

$\mathbf{n_2 = \frac{5!}{(5-2)!2!}}$

$\mathbf{n_2 = \frac{5!}{3!2!}}$

$\mathbf{n_2 = \frac{5 \times 4 \times 3!}{3! \times 2 \times 1}}$

$\mathbf{n_2 = 10}$

So, the number of ways of performing one action is:

$\mathbf{n =n_1 + n_2}$

$\mathbf{n =5 + 10}$

$\mathbf{n =15}$

For the three actions, the number of ways is:

$\mathbf{Action = n^3}$

$\mathbf{Action = 15^3}$

$\mathbf{Action = 3375}$

Hence, there are 3375 possible combinations

Read more about permutation and combination at:

brainly.com/question/4546043

4 0

2 years ago

Is one side of a rectangular fish tank best represented by a point, line, plane, or ray?

Inessa05 [86]

One side of a rectangular fish tank can be best represented by a plane because it is two dimensional.Whereas,point,line or a ray are all one dimensional and hence they cannot represent a rectangle as it has two dimensions.

6 0

3 years ago

Read 2 more answers

Solve −3x=2x2−4 using the Quadratic Formula.

otez555 [7]

Answer:

-3x= 2×2-4

Step-by-step explanation:

-3x= 4-4

-3x= 0

divide both sides by the co-efficient of x

-3x/-3= 0÷-3

x= 0/-3

x = 0

8 0

3 years ago

I need help ASAP ! Which one is it ? Find the value of X !

kvv77 [185]

Answer:D

Step-by-step explanation:

8 0

3 years ago

At 12:45 Jimmy left his home in Pinetrees and cycled to visit his grandmother in Oakville. On his

olchik [2.2K]

t=45min
d=4km

45min/60min = 0.75 hours

v=d/t
v=4km/0.75hours
v=5.33km/hour. So the answer is B. 45 minutes.

8 0

3 years ago