To open a safe five numbers must be entered on a keypad. The keypad contains numbers 0-9. The numbers have to be entered in a certain order
to open the safe.
a. What are the TOTAL number of possible ways you can enter five numbers to open this safe (if there are NO restrictions on the numbers that
may be chosen)?
b. If no numbers repeat, then how many entries are possible?
c. What is the PROBABILITY that the safe's five numbers do not repeat? Write your answer as a percent rounded to the nearest tenth.

Answers

Answer 1

Answer:

30.2%

Step-by-step explanation:

a. For each slot there are 10 possible numbers (0-9). Since there are no restrictions, the number in each slot is independent of the other. We can calculate the total number of possibilities using the product rule.

N = 10 × 10 × 10 × 10 × 10 = 10⁵

b. For the first slot, there are 10 possibilities.

For the second slot, we cannot repeat the number that we used in the first slot, so there are 9 possibilities.

For the third slot, we cannot repeat any of the previous numbers, so there are 8 possibilities.

For the fourth slot, we cannot repeat any of the previous numbers, so there are 7 possibilities.

For the fifth slot, we cannot repeat any of the previous numbers, so there are 6 possibilities.

The total number of combinations without any repetitions are:

10 × 9 × 8 × 7 × 6 = 30,240

c. The probability that the safe's five numbers do not repeat is:

P = favorable outcomes / possible outcomes

P =  30,240 / 10⁵ = 30.2%


Related Questions

I want to know why D is the correct answer

Answers

Answer:

Cause it is

Step-by-step explanation:

ya know?

Answer:

It's B

Step-by-step explanation:

To find the surface area of a pyramid, you'll multiply L*W*H/3

810 divided by 3 is 405

what is 629 divided by 8

Answers

Answer:

78.625

Step-by-step explanation:

629 / 8 =  78.625

Answer:

629/8=78.625

OR

[tex]\frac{629}{8}=78\frac{5}{8}[/tex]

What is the value of 5 + 5.3^4?
810
410
O65
120

Answers

Therefore , the solution of the given problem of expression comes out to be 794.0481.

Describe expression.

combinations of numbers, symbols, and operations (such + and) that show how much something is worth. Examples: • 2 + 3 is the formula.

• 3 x/2 variable  is another formula.There is no equals sign in the expression. A mathematical expression is a sentence made up of variables, numbers, or both. There is never an equal symbol in an expression. These expressions are examples. An equation is a mathematical statement proving the equality of two expressions.

Here,

Given : 5 + [tex](5.3)^{4}[/tex]

=> 5 + (5.3)*(5.3)*(5.3)*(5.3)

=> 789.0481 + 5

=> 794.0481

Therefore , the solution of the given problem of expression comes out to be 794.0481.

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1. r-h=rh
make r the subject and show the steps plz
2. V= pir^2h
make r the subject and show the steps plz

Answers

Answer:

1. N/A

2. √V/pi*h= r

Step-by-step explanation:

1. when you try to get r on one side, the r's cancel out

2. V/pi*h= r^2

√V/pi*h= r

what's the equation of a line in slope-intercept form of a line that has a slope of -6 and contains (3,-4)
HELP ME PLEASE!!!!!!

Answers

[tex](\stackrel{x_1}{3}~,~\stackrel{y_1}{-4})\hspace{10em} \stackrel{slope}{m} ~=~ - 6 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-4)}=\stackrel{m}{- 6}(x-\stackrel{x_1}{3}) \implies y +4= -6 (x -3) \\\\\\ y+4=-6x+18\implies {\Large \begin{array}{llll} y=-6x+14 \end{array}}[/tex]

PLEASE HELP ME GUYS! WILL GIVE 5 stars, brainliest, and everything!!!!

Answers

Answer:

I think it's 388.335

Step-by-step explanation:

I did

(12.75 x 3.75) x2

(3.75 x 8.87) x2

(8.87 x 12.75) x2

and added them all up

A cleaning company charges a fixed amount for a house call and a second amount for each room it cleans the total cost to clean six rooms is $250 and the total cost to clean eight rooms is $320 how much would this company charge to clean two rooms

Answers

The cleaning company would charge $150 for cleaning two rooms according to the fixed charges.

What is fixed amount?

A fixed amount is a fixed amount or amount established by agreement or contract. This amount is usually a specified amount, does not change over time, and is usually paid on demand or by a certain date. Fixed amounts are commonly used in loans, insurance, and other financial contracts.

This cost is calculated by dividing the difference between the total cost of 6 and 8 rooms by the number of rooms cleaned (6 - 2 or 4).

= ($250 - $320)/4

= $40

This will give you a price of for each additional room.

To calculate the cost of two rooms, simply add the fixed amount of the home visit and double the cost ($40) for each additional room. That's a total of $150 for two rooms.

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Which expression is equivalent to 4 - 10 (9m – 7:)

0-3 - 90m

O 42 – 54m

O 74 - 90m

O-7 - 54m

Answers

The correct choice will be 74 - 90m

A university just acquired more land which is shown by the triangle in the diagram. What is the area of the land that the university just aquired?

Answers

Therefore , the solution of the given problem of area comes out to be the land acquired by university is of 3 miles square area.

Define area.

The term "area" describes the amount of space occupied by a 2D form or surface. We use cm2 or m2 as our units for measuring area. A shape's area is determined by dividing its length by its breadth.

Area = length x breadth.

Here,

Given : A triangle land which has

height = 2miles

and base = 1.5+ 1.5 = 3 miles

Thus,

To find the area of triangle :

=> Area = 1/2*b*h

=>Area = 3*2/2

=> Area = 3 miles square

Therefore , the solution of the given problem of area comes out to be the land acquired by university is of 3 miles square area.

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Where is the x-intercept in a quadratic formula?

Answers

The x-intercept in a quadratic formula is where the graph of the function crosses the x-axis.

An x-intercept is a point on the graph of a function where the y-coordinate is equal to zero. In other words, it's a point on the graph where the function intersects the x-axis. The x-intercepts of a quadratic formula can be found by setting the y-value equal to zero and solving for x.

The quadratic formula is typically in the form of ax^2 + bx + c =0, thus by setting y=0 we get x = -b/2a and x = -b/2a, these are the x-intercepts where the graph of the function will cross the x-axis. The x-intercepts are also known as the roots or zeroes of the function, and are important for understanding the overall shape of the graph.

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A 7th-grade class has 14 girls and 10 boys. An 8th-grade class has 11 girls and 13 boys. What is the probability of picking a student from each class and having them both be girls? (Write answer as simplified fraction)

Answers

Answer:

14>10   11<13

Step-by-step explanation:

please answer correctly !!!!! Will mark Brianliest !!!!!!!!!!!!!!

Answers

Answer:

sin w = 15/17

Step-by-step explanation:

sin w = opp/hyp

opp of W is VX = 15

hyp is the longest = 17

sin w = 15/17

Answer:  15/17

=========================================================

Explanation:

A drawing may help. See the image below.

Angle X is the 90 degree angle, so angles W and W are the acute angles of right triangle VWX.

The reference angle here is W. Since this is the reference angle, the side opposite angle W is VX = 15. We simply call this "opposite".

The hypotenuse is always opposite the 90 degree angle. This is true no matter what acute reference angle you pick. Since X = 90, this makes WV = 17 the opposite side. Also, the hypotenuse is always the longest side.

The sine of an angle is the ratio of the opposite and hypotenuse

sin(angle) = opposite/hypotenuse

sin(W) = VX/WV

sin(W) = 15/17

Side note: The side XW = 8 isn't used at all. If you wanted to compute cos(W) or tan(W), then you would use side XW.

find asymptotes for y=x^3 + 3^x​

Answers

Answer:

No asymptotes

Step-by-step explanation:

The equation provided does not have any asymptotes. Neither for the y-axis or x-axis. It instead goes towards infinity endlessly. Meanining that there is no value that is equal to zero in this equation. The graph below shows the equation graphed, but could not be zoomed out because the equation is endless.

Derrick cut a square cake vertically to make two rectangle slices. Each rectangle had a perimeter of 51 inches.

Answers

Answer:

17 inches

Step-by-step explanation:

Given

[tex]P = 51[/tex] --- Perimeter of rectangle

Required

The length of the original square

The perimeter is calculated as

[tex]51 = 2(L + W)[/tex]

Divide by 2

[tex]25.5 = L + W[/tex]

The rectangle and the square have the same length.

So:

[tex]L = 2W[/tex]

[tex]25.5 = L + W[/tex] becomes

[tex]25.5 = 2W + W[/tex]

[tex]25.5 = 3W[/tex]

Divide both sides by 3

[tex]W = 8.5[/tex]

Recall that:

[tex]L = 2W[/tex]

[tex]L = 2 * 8.5[/tex]

[tex]L = 17[/tex]

Please hurry!
Which best describes the relationship between the two triangles below?
Triangle M N L. Angle M is 51 degrees and angle L is 36 degrees. Triangle F H G. Angle F is 51 degrees and angle G is 36 degrees.
Triangle M L N is similar to Triangle F G H because of the third angle theorem, Angle M is congruent to angle F, Angle L is congruent to angle G, and Angle N is congruent to angle H.
Triangle M L N may or may not be similar to Triangle F G H because the third angle is unknown.
Triangle M L N is similar to Triangle F G H because of the angle-angle criterion, Angle M is similar to angle F, Angle L is similar to angle G, and Angle N is similar to angle H.
Triangle M L N may or may not be similar to Triangle F G H because the side lengths are unknown.

Answers

Answer:

Triangle M L N is similar to Triangle F G H because of the third angle theorem, Angle M is congruent to angle F, Angle L is congruent to angle G, and Angle N is congruent to angle H.

Step-by-step explanation:

Triangles are similar if all of the angles are congruent and corresponding to the other triangle and the sides are proportionate. It is important to note that if the angles are congruent then the sides must be proportionate; so, the side lengths are not necessary. Additionally, the third angle theorem states that if two known angles are congruent then the third angles must also be congruent. So, the two triangles must be similar because all of the angles are congruent to their corresponding angles.

put this equation in Slope-Intercept form
Y + 2 = -5 ( X + 3 )

Answers

Answer: y=-5x-17

Step-by-step explanation:

Slope-intercept form follows the formula y-mx+b, where m is slope and b is y-intercept. All we have to do is to manipulate the equation to look like y=mx+b.

[tex]y+2=-5(x+3)[/tex]              [distribute right side]

[tex]y+2=-5x-15[/tex]               [subtract both sides by 2]

[tex]y=-5x-17[/tex]

Now, our equation matches y=mx+b with m=-5 and b=-17.

True or false? The graph represents a function.

Answers

Answer:

true :)

Step-by-step explanation:

answer is true ! graph shows a function

4cm multiplies 3 whole 1/2

Answers

The answer is 6. I calculated it

During January 2012, 50 000 new vehicles were sold in Ontario. About 20% of these were leased. How many vehicles were leased?

Answers

Answer:

10,000 vehicles.

Step-by-step explanation:

20 percent of 50,000 is 10,000.

What would the approximate amperage setting be if a welder were set to the high range (150 to 350 amps) and the fine adjustment knob were painting at 5 on a 10 point scale

Answers

On solving the provided question, we can say that the approximate amperage setting be if a welder were set to the high range would be 350 amps.

What is range?

The variable's range is obtained by finding its largest observed value (maximum) and subtracting its smallest observed value (minimum). Variational bounds or possible range: various steel prices; various styles; The extent or magnitude of a procedure or action: insight. the maximum or expected range of a weapon's projectile. The range of a list or set is the number between the minimum and maximum. Prior to identifying the region, align all the numbers. Remove (remove) the lowest number from the highest number next. The list's range is provided in the solution.The solution provides the list's range.

here,

the approximate amperage setting be if a welder were set to the high range would be 350 amps

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Find the value of x.

Answers

Answer:

60°

Step-by-step explanation:

as they are a linear pair

120°+x=180

x=180-120

x=60°

What is the radius and diameter of the following circle?

Answers

Answer:

Diamter is 14 and radius is 7

Step-by-step explanation:

May I have barinliest answer please?

Answer the following as the website for my hwk says I am incorrect:

a) 6/24 as its simplest form (I put 1/4)
b) 52.491 to 2 decimal places (I put 52.49)
c)how many 0.125m drinking straws are needed for a bridge which is 0.85m long (I put both 6.8 and 7)
d) 756.985 × 45 - 14.325 ( I put 34,050)

Answers

a) 1/4
b) 52.49
c) 7
d) 34,050

lines a and b are parallel. which angles is congruent to angle? 4

Answers

Answer:

ANGLE 5 IS CONGURENT TO ANGLE 4

PLEASE MARK BRAINLIEST

WILL MARK BRANLIEST

Question 2 of 5 | Page 2 of
Question 2 (1 point)
The table shows the depth of water in a pond as it is being filled.

What is the average rate of change, in meters per minute, of the depth of the
water in the pond, between t = 2 and t = 5? Round your answer to the nearest
hundredth.

Answers

Answer:

0.47metres per minute

Step-by-step explanation:

you would minus t 5 from 3 which would be 1.34- 0.87 which equals 0.47

i need hlep with this q

Answers

The slope of the line is 40 if the points are joined.

What is Slope?

A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the change in y coordinate with respect to the change in x coordinate as,

m = Δy/Δx where, m is the slope

given:

Take two points from the graph as (2, 80) and (4, 160)

Then, the slope of line is

slope, m = ( 160- 80) / ( 4- 2)

slope, m = 80 /2

slope , m = 40

Hence, the slope is 40.

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7.4 1; 2; 4; 7; 11; 16; 22;
Describe this pattern:​

Answers

Answer:

minus 3 plus 1 plus 2 plus 3 plus 5

Step-by-step explanation:

Please help me on this

Answers

Answer:

12. C

13. B

14. B

Step-by-step explanation:

12 - length of ramp = hypotenuse

given the angle 20, we have hypotenuse and opposite, so we use sin

sin 20* = 10/r

13- tan 46 = x/11, x = 11(tan46) = 11.4

14- cos 46 = 12/x = 17.3

How does the value of a number change when you divide by 10 100 1000?

Answers

Answer: It gets smaller

Step-by-step explanation: When you divide something by anything, the place value of the digits decreases. The digits move to the right since the number gets smaller, but remember, the decimal point does not move.

This year, there was 40% more snow than last year. The amount of snow this year is 140% of the amount of snow last year.




1. This year, there were 25% fewer sunny days than last year. The number of sunny days this year is (BLANK)% of the number of sunny days last year.


2. Compared to last month, there was a 50% increase in the number of houses sold this month. The number of houses sold this month is (BLANK)% of the number of houses sold last month.


3. The runner’s time to complete the marathon was 10% less than the time to complete the last marathon. The runner's time to complete the marathon was (BLANK)% of the time to complete the last marathon.

PLEASE FILL IN THE BLANKS. This is in fact the full question

Answers

Answer:

75%150%90%

Step-by-step explanation:

You want the percentage multiplier associated with the following changes:

25% decrease50% increase10% decrease

Multiplier

To find the multiplier, add 1 to the change. When you want the multiplier in percent, then add 100% to the change expressed as a percent. (1 = 100%)

1. 25% fewer

  100% -25% = 75% . . . . of last year

2. 50% increase

  100% +50% = 150% . . . . of sales last month

3. 10% less

  100% -10% = 90% . . . . of last marathon's time

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