A certain model car has a keypad with 5 numbers on the door. To open the door, 5 numbers must be entered in the correct
order and no number can be used more than once. What is the probability that someone could guess the correct code?
OA. Ito
OB.
OC.
OD.

A Certain Model Car Has A Keypad With 5 Numbers On The Door. To Open The Door, 5 Numbers Must Be Entered

Answers

Answer 1

Answer:  A. [tex]\dfrac{1}{120}[/tex]

Step-by-step explanation:

Total digits on keypad = 5

According to permutation,

If repetition of digits is not allowed then the number of 5-digits passwords can be formed = 5!

= 5 x 4 x 3 x 2 x 1         [n!=n x (n-1) x (n-2)x ... x 1]

=120

The probability that someone guesses the correct code = [tex]\dfrac{\text{Number of correct codes}}{\text{Total possible codes}}[/tex]

[tex]=\dfrac{1}{120}[/tex]

Hence, the correct option is A.


Related Questions

Find the value of x

Answers

Answer:

The value of x is 72 degrees

Step-by-step explanation:

simplify please was due 11:59

Answers

Answer:

3^12

Step-by-step explanation:

The answer is 3^12
————-

karl rode his bicycle 3/8 of the distance from lakeview to bay cove, which is 24.1 miles. how many more miles does he need to ride to complete his trip?

Answers

Answer:

he has 15.06 (15) miles left

Step-by-step explanation:

he still has 5/8 distance left so its just 5/8th of 24.1

The product of 3 and a number equals the sum of 16 and a number.

Answers

Answer:

The numbers can be either -8,-7,-6, or 6, 7, 8.

n(n−1)(n+1)=16(n−1+n+n+1)  

⟹n(n2−1)=16×3n  

⟹n(n2−1)n=48nn  

⟹(n2−1)−48=48−48  

⟹n2−49=0  

⟶(n−7)(n+7)=0  

n  can be  7  or  −7 , so the numbers can be either  −8,−7,−6  

Or

6,7,8

Step-by-step explanation:

6,7,8 is are variable

CAN YOU HELP ME PLEASE

Answers

Answer:

a. 60 degrees

b. 300 degrees

c. 12π

d. 2π

e. 10π

f. 36π

g. 6π

Is 4d + (15 + 3d) equivalent to (4d + 15) + 3d ?

Answers

Answer:

Yes it is

Step-by-step explanation:

4d + 3d = 7d so 7d + 15 would be the expression for both except it would only be 3d + 4d = 7d and 7d + 15 is the same as the first expression that I got from evaluating 4d + (15 + 3d).

Answer:[tex]\boxed{\boxed{\sf{Yes,~7d+15=7d+15}}}[/tex]Solution Steps:

______________________________

1.) Solve [tex]\bold{4d+(15+3d)}[/tex]:Combine 4d and 3d: [tex]=7d+15[/tex]2.) Solve [tex]\bold{(4d+15)+3d}[/tex]:Combine 4d and 3d: [tex]=7d+15[/tex]

3.) Compare:[tex]7d+15=7d+15[/tex]

So your answer [tex]\bold{7d+15=7d+15}[/tex].

______________________________

Jonah had 3/4 cup of water in his cup. He drank 1/2 cup of water. How
much water did he have left?

Answers

Answer:

1/4th Cup left

Step-by-step explanation:

1/2 cup is equal to 2/4 cup, so subtract that from 3/4th and you end with 1/4th

they want you to solve for n​

Answers

Answer:

the answer will be

n< 80

Step-by-step explanation:

Find the sum of the arithmetic series given a1
12, d = 4, and n = 30.
A. 8434
B. 4200
C.4216
D. 2100

Answers

Answer:

D

Step-by-step explanation:

The sum to n terms of an arithmetic series is

[tex]S_{n}[/tex] = [tex]\frac{n}{2}[/tex] [ 2a₁ + (n - 1)d ]

where a₁ is the first term and d the common difference

Here a₁ = 12, d = 4 and n = 30 , then

[tex]S_{30}[/tex] = [tex]\frac{30}{2}[/tex] [ (2 × 12) + (29 × 4) ]

     = 15(24 + 116)

     = 15 × 140

     = 2100 → D

The sum of the arithmetic series given a₁ =12, d = 4, and n = 30 is 2100, therefore the correct answer is D.

What is the Sum of arithmetic series?

The sum of n terms of an arithmetic series can be easily found using a simple formula which says that, if we have an arithmetic series whose first term is a and the common difference is d, then the formula of the sum of n terms of the arithmetic series is as follows

Sn = n/2 [2a₁ + (n-1)d].

as given in the problem

a₁ =12, d = 4, and n = 30

Sn = 30/2 [2×12 + (30-1)×4]

    = 2100

The sum of the arithmetic series given a₁ =12, d = 4, and n = 30 is 2100.

Learn more about the arithmetic series from here

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Write a function rule for “The output is 10 less than the input.” Let x be the input and let y be the output.

Answers

Answer:

x-10=y

Step-by-step explanation:

the output (y) is 10 less ( -10) than the input (x)

Solve the inequality. 5(x + 1) – 10 ≥ 2x + 3(x + 2)

Answers

there are no values of x that make the inequality true
No solution.

The solution of the inequality  5(x + 1) - 10 ≥ 2x + 3(2x + 2) is x ≤ - 16/3.

What are inequalities and their types?

Inequality is a relation that compares two numbers or other mathematical expressions in an unequal way.

The symbol a < b indicates that a is smaller than b.

When a > b is used, it indicates that a is bigger than b.

a is less than or equal to b when a notation like a b.

a is bigger or equal value of an is indicated by the notation a b.

Given, Inequality is 5(x + 1) - 10 ≥ 2x + 3(2x + 2).

5x + 5 - 10 ≥ 2x + 6x + 6.

5x + 5 - 10 ≥ 8x + 6.

5x - 8x ≥ 10 + 6.

- 3x ≥ 16.

3x ≤ - 16.

x ≤ - 16/3.

learn more about inequalities here :

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This year, a town has a budget of $1,000,000. Next year, the budget will increase by 2.5%.
What will the town's budget be next year?
A $1,025,000
B) $1,250,000
С
$2,050,000
D
$2,500,000

Answers

Answer:

A

Step-by-step explanation:

1000000·2.5=2500000

2500000÷100=25000

1000000+25000=1025000

A because 2.5 percent of a million is 25,000 so u add those together

When I halve it,
the result is 24 less than 46.

what is the number? ​

Answers

Answer: 44

Step-by-step explanation:

46 - 24 = 22 (when halved so you need to multiply by 2)

22 * 2 = 44

PLEASE HELP

Which of the following are solutions of the equation (2x-3) (3x+5)=-14

Answers

Answer:

I love algebra anyways

The ans is in the picture with the  steps how i got it

(hope this helps can i plz have brainlist :D hehe)

Step-by-step explanation:

X=1/3 ,1/2
Decimal form
0.3,-0.5

Simplify. n6 • n5 • n4 ÷ n3 • n2 ÷ n

Answers

Answer:

Step-by-step explanation:

N⁶ · n⁵ · n⁴ ÷ n³ · n² ÷ n

n¹¹ · n⁴ ÷ n³ · n² ÷ n

n¹⁵ ÷ n³ · n² ÷ n

n⁵ · n² ÷ n

n¹⁰ ÷ n

n⁹

Answer:

1

Step-by-step explanation:

because u didnt have 1 plus its counting down on the numbers so i think its 1

write in slope-intercept form 5x-3y=-9

step by step explanation too, please.

Answers

Answer:

y = (5/3)x +3

Step-by-step explanation:

slope intercept form

Y = mx +b form

so we need to solve the given equation for y

1.  5x-3y =-9

2 . 5x -3y +3y = -9 +3y (adding both sides 3y)

3. 5x = -9 +3y

4. 5x +9 = -9 +9 + 3y (adding 9 to bot sides)

5. 5x +9 = 3y

6. (5/3)x + 9/3 = (3y)/3 ( divide both sides by 3 to get y  alone)

so, the final answer will be

y = (5/3)x +3

2/3 divided by 1/9

?????

Answers

Answer:

6

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

What's the square root of 64 times 3

Answers

Answer:

24

Step-by-step explanation:

Answer:

About 13.86

Step-by-step explanation:

64 x 3 = 192

[tex]\sqrt{} 192[/tex] = 13.8564064606

If you were asking what [tex]\sqrt{64}[/tex] multiplied by 3 was, that answer would be 24. I read it as if you were asking what [tex]\sqrt{64 x 3}[/tex] is. :)

On a coordinate plane, 2 straight lines are shown. The first solid line has a positive slope and goes through (0, 3) and (3, 4). Everything above the line is shaded. The second dashed line has a positive slope and goes through (0, negative 2) and (1, 1). Everything to the right of the line is shaded.
Which system of linear inequalities is represented by the graph?

Answers

Answer:

A. y≥[tex]\frac{1}{3\\}[/tex]x+3, 3x-y>2

Step-by-step explanation:

The linear equations above match the lines in terms of slope and y-intercept.

I hope you found this helpful! If you did, I'd really appreciate if you'd mark my work as 'brainliest'. Please don't hesitate to ask any questions!

Have a great day!

The system of linear inequalities of the given points is required.

The system of inequality is

[tex]x-3y\leq -9[/tex]

[tex]3x-y>2[/tex]

Points of the first line

[tex](0,3)[/tex]

[tex](3,4)[/tex]

The equation of the line is

[tex]y-3=\dfrac{4-3}{3-0}(x-0)\\\Rightarrow y-3=\dfrac{1}{3}x\\\Rightarrow y-\dfrac{1}{3}x=3\\\Rightarrow 3y-x=9\\\Rightarrow x-3y=-9[/tex]

Let us take a point above this line [tex](2,4)[/tex]

It is also a solid line.

[tex]2-3\times 4=-10<-9[/tex]

So, the inequality is [tex]x-3y\leq -9[/tex]

Points of the second line

[tex](0,-2)[/tex]

[tex](1,1)[/tex]

The equation of the second line is

[tex]y+2=\dfrac{1+2}{1-0}(x-0)\\\Rightarrow y+2=3x\\\Rightarrow 3x-y=2[/tex]

Let us take a point towards the right of the line [tex](2,2)[/tex]

[tex]3\times 2-2=4>2[/tex]

Since, the line is dashed the second inequality will be [tex]3x-y>2[/tex]

Learn more:

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geometry please help me thank you

Answers

Answer: For first blank: GNS

P = N G = P S = R

A rotation of 180 degrees around the orgin will move a shape how many quadrants ?

Answers

Answer:

2 quadrants

Step-by-step explanation:

If it is 360 it would be 180 times 2 leading you back to where you started so 2 a  point at (x,y) would turn into (-x,-y) when moved 180 degrees

Help me pls ://////

Answers

Answer:

Sample size is 50. to Problem B= 40

Step-by-step explanation:

the bakers at noah's bagels can make 340 bagels in 4 hours so how many can they make in 10 hours ?​

Answers

Answer:

850 bagels in 10 hours.

Step-by-step explanation:

340 divided by 4 is 85. 85 times 10 is 850. So, 850 bagels.

5x+7 but the given x=6

Answers

Answer:

37

Step-by-step explanation:

5 x 6 = 30

30+7=37

Answer:

37

Step-by-step explanation:

5x + 7

x = 6

All you need to do is substitute the "x" with "6" since that has been given....

5(6) + 7

30 + 7

37

Hope this helped!

Have a supercalifragilisticexpialidocious day!

round $5.127 to the nearest hundredths​

Answers

Answer:

$5.13

Step-by-step explanation:

Answer:

$5.13 :)

Step-by-step explanation: the second number after the decimal is the hundredths place :)

At a pie cook-off, the judges ate 512 of Mary’s pie and 916 of Jerome’s pie.
The pies were the same size.
Choose Yes or No to tell if the statement about the two pies is true.

Answers

Answer:

No

Step-by-step explanation:

I think you meant to put 5/12 ad 9/16 but in any case, even if it were 51/2 and 91/6 or anything else, the answer would be no

BRO CAN SOMEONE PLEASE HELP ME THIS TEST IS A MAJOR GRADE I CAN HELP YOU WITH SOMETHING BUT PLEASE HELP ME WITH THIS
The length, l , of a rectangle is 3 cm longer than twice the width, w. The perimeter of the rectangle is 66 cm.

Which system of linear equations could be used to find the length and width of the rectangle?
A. l = 3w + 2
2l + 2w = 66

B.l = 3w + 2
l + w = 66

C.I= 2w + 3
l + w = 66

D. l = 2w + 3
2l + 2w = 66

Answers

Answer:

The system of linear equations that could be used to find the length and width of the rectangle will be:

l = 2w + 3 cm  

2w + 2l = 66

Hence, option D is correct.

Step-by-step explanation:

Let the width of the rectangle be = w cm

Given that the length, l, of a rectangle is 3 cm longer than twice the width, w.

Thus, the length of the rectangle be:

l = 2w + 3 cm  

We know that the perimeter of the rectangle is:

P = 2w + 2l

Given that the perimeter of the rectangle = P = 66 cm

so substitute P = 66 in P = 2w + 2l

P = 2w + 2l

66 = 2w + 2l

Therefore, the system of linear equations that could be used to find the length and width of the rectangle will be:

l = 2w + 3 cm  

2w + 2l = 66

Hence, option D is correct.

Please help 30 extra points




Select only the rational numbers
3/4
6
0.863
1.5
103

Answers

Everything is rational

Answer:

the rational numbers are 6, 3/4, 1.5, 103, 0.863 so all of them.

Step-by-step explanation:

Any number that can be written, numbers like 2.3373648489 with no pattern or rationality are not rational.

However number like 2.3333 are rational because you can predict the pattern.

which equation represents the line on the graph?

Answers

Answer:

Y=-1/3x+2

Reason:

the line is negative so it Goes down one right 3 and the line is on the positive 2 on the y axis.

To the nearest tenth, find the area of a circle with a
diameter of 8 meters. Use 3.14

Answers

Answer:

28.3

Step-by-step explanation:

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