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2 years ago

Need help fast please

Mathematics

1 answer:

madam [21]2 years ago

5 0

A circle with a radius of 5 units has a circumference of 31.416 units. Hope that helps!

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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

The data in the table compares x, the number of pages in a chapter, to y, the amount of time, in minutes, spent reading. The fun

Mamont248 [21]

Answer:The answer is A, 15 I believe if i did the math right.

Step-by-step explanation: First you take the equation: f(x)= 0.86x-0.09

Then you plug in x witch in this case is 18 so f(18)=0.86(18)-0.09= 15.39 So round to the nearest whole number and you get 15.

5 0

3 years ago

Read 2 more answers

Can you help me with this equation???

baherus [9]

ONP=43 degrees
LNO=137 degrees
MNP=137 degrees

A straight line equals 180 degrees, so the angles need to add up to that amount. Hope this helps!

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2 years ago

Look at the coordinate plane.

Taya2010 [7]

Answer:

y = -3

Step-by-step explanation:

Desmos

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1 year ago

What is 32.0 forty-three in expanded form

9966 [12]

32.00=3 tens 2 ones 30+2=32

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2 years ago