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Advocard [28]
2 years ago
10

A 5-digit combination lock can be opened only if a correct combination of digits is chosen. Find the probability of guessing the

correct combination if:
A. no digit is repeated
B. digits can repeat and zero is not one of the digits in the combination
Mathematics
1 answer:
Anarel [89]2 years ago
3 0
1) If digits can not repeat, the number of possible variations is 10x9x8x7x6 =30,240

And the probaility of guessing is 1 / 30240 =0.000033

2) If digits can repeat an zero is no one of the digits, the number of possible variations is 9x9x9x9x9 = 9^5 = 59,049.

The probaility of guessing is 1/59,049 = 0.000017

 
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What Is The Surface Area Of this triangular prism? The Base Of Each Triangle 42m And the height of the triangular base is 20m. (
ehidna [41]

Answer:

The surface area is 2,440\ m^{2}

Step-by-step explanation:

see the attached figure to better understand the problem

we know that

The surface area of a triangular prism is equal to

SA=2B+PH

where

B is the area of the triangular base

P is the perimeter of the triangular face

H is the height of the prism

<em>Find the area of the base B</em>

B=\frac{1}{2}(42)(20)=420\ m^{2}

<em>Find the perimeter of the base P</em>

P=(42+29+29)=100\ m

we have

H=16\ m

substitute the values

The surface area is

SA=2(420)+100(16)=2,440\ m^{2}

8 0
3 years ago
Solve this equation using elimination: 4x-y=8;6x+y=2
fomenos
Solve simultaneously.

4x - y = 8
6x + y = 2


Multiply top equation by 6, and bottom equation by 4, to eliminate x, so that we can find y.
~
24x - 6y = 48
24x - 4y = 8

Subtract top from bottom to form one equation.
~
-2y = 40
Therefore y is 20.

Put y back in to an equation, such as 4x - y = 8.
~
4x - 20 = 8
4x = 28
x = 7
7 0
3 years ago
including the bus driver, there are 15 people on a bus. During the bus ride, each person produces 750 BTUs. The interior of the
Bond [772]
54 i just answered it
8 0
2 years ago
Write out the sample space for the given experiment. Use the following letters to indicate each choice: W for white, Y for yello
allochka39001 [22]

Answer:

S={WG, WE, WM, YG, YE, YM, BG, BE, BM}

Step-by-step explanation:

There are three possible color choices for the game room (White, Yellow or Blue), and three possible choices for the entertainment center (Gray, Ebony or Maple). This means that there are 9 possible outcomes, therefore, the sample space for the experiment is:

S={WG, WE, WM, YG, YE, YM, BG, BE, BM}

4 0
3 years ago
PLEASE HELP AND BE CORRECT
Sergio [31]

(b⁷/4⁵)⁻³

= (4⁵/b⁷)³

= 4¹⁵/b²¹

Therefore answer is option b

Must click thanks and mark brainliest

3 0
3 years ago
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