A lock requires a 3 number combination using the numbers 0 through 9, none of which may be repeated. How many outcomes are possible?

48

720

12010




Answers

Answer 1

Answer:

720

Step-by-step explanation:

The lock requires that repetition is not allowed.

The possibles numbers are 0 - 9, that is, 10 digits.

The first number in the combination can be picked from the 10 digits.

This means that there are 10 possible choices.

The second number in the combination can now only be picked from 9 digits.

This means that there are 9 possible choices.

The third number in the combination can now only be picked from 8 digits.

This means that there are 8 possible choices.

Therefore, the number of possible outcomes in the combination is:

10 * 9 * 8 = 720 outcomes


Related Questions

Find the distance between the points.

(4,6),(9,6)

Answers

Answer:

5

Step-by-step explanation:

Find the difference between coordinates:

(x²-x1) = (9 - 4) = 5

(y²-y1) = (6 - 6) = 0

Square the results and sum them up:

(5)² + (0)² = 25 + 0 = 25

Now Find the square root

What is the slope of the line shown?

Answers

Answer:1/2 slope

Step-by-step explanation:

Answer: -2

Step-by-step explanation: Using rise/run, take two points of the line. I took the points (3,1) (2,3). I then went down 2 (run) and then I went 1 to the right(run). Since the graph goes by 2, the equation is -4/2 resulting in the answer -2.


In a survey of 150 people, 60 like cricket only 40 like football only
and 30 do not like them, by drawing Venn-diagram firid the number
of people who like both:​

Answers

[tex]the \: answer \: is \: 20. \\ please \: see \: the \: attached \: picture \: for \\ full \: solution \\ hope \: it \: helps \\ good \: luck \: on \: your \: assignment[/tex]

Corey and David both have lots of video games. The number of games Corey has can be represented by x . Ricky has 3 times as many games as Corey. The total number of games is 64 . What is x, the total number of games Corey has?

Answers

Answer:

21.3333333

Step-by-step explanation:

64/3=x

64/3=21.3333333

Sorry if its wrong.

The diagram shows a regular pentagon with centre O.

Answers

Answer:

56

Step-by-step explanation:

The size of angle x is 54°.

What is Triangle?

A triangle is a three-sided polygon that consists of three edges and three vertices.

All the diagonals of a pentagon are equal so, their opposite angles of equal diagonals are also equal.

The angle  'O' is a complete angle

∴ ∠O = 360°

Angle between diagonals =360/5= 72°

The sum of all interior angles of triangle is 180°

x+x+ 72°=180°

2x=180-72

2x=108°

x=54°

Hence, the size of angle x is 54°.

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Can some one plz help me solve this problem! I need help ASAP ! Help me I will mark you as brainlizt!

Answers

Answer:

a) y = -5 b) y = -4 c) y = 4 d) y = 11

Step-by-step explanation:

a) (-2+2)²-5

b) (-1+2)²-5

c) (1+2)²-5

d) (2+2)²-5

Please answer correctly !!!!!!! Will mark brainliest answer !!!!!!!!!!!

Answers

Answer:

Step-by-step explanation:

The answer is b

There are 41 students in 6th grade Group A of a junior high school,
and the number of boys is 3 more than the number of girls.
How many boys and girls are there in the class, respectively?

Answers

Answer:

23 boys 21 girls

Step-by-step explanation:

so what i would do is 41/2 =20.5 (we round up becaue its people) 21

so if there are 3 more boys then we  have 23 boys and 21 -3(to make it equal in half) 18 girls

i might be wrong  im not in this level of math yet    

Select all that apply.
Which of the following name a line in the drawings



Answers

DB is the answer that your looking for

Answer:

DB

It's the only line that is not a segment.

Step-by-step explanation:

please help me with question b) and please explain!!
look at the attached image

Answers

Answer:

17

Step-by-step explanation:

let x be the number of boxes to be shaded to make it 80%

x = 80% of total number

= 80/100 of 25

= 80/4

= 20

So 20 need to be shaded to fill 80%

Now, 13 of the grids are already shared so the amount of more squares that need to be shaded = 20-13

= 17 squares

8/100x25/1=200/100=2/1=2

So that means 2 more squares have to be shaded to fill 8% of the grid

So 13+2=15

Answer the following Questions
Which of the following points lie on the x-axis?
A(1, 1), B (1.0). c (0,1)D (0,0), E (-1,0), F (0-1), G (4,0), H (0,7)​

Answers

Answer:

B, D, E and G lies on X axis

Find median of the data. 14, 18, 16, 122, 22, 19, 12

Answers

Answer:

18

Step-by-step explanation:

The order from least to greatest is 12,14,16,18,19,22,122.

The middle number is 18 because there is 3 numbers next to 18 on the right which is 19,22,122 and 3 numbers on the left which is 12,14,16. A median would be easier to find if there is an odd amount of numbers.  

if cos =5\13 and 90°≤ø≤180,evaluate cotø,secø,cosø​

Answers

Answer:  [tex]\bold{\cot\theta=-\dfrac{5}{12}\qquad \sec\theta = \dfrac{13}{5}\qquad \cos\theta = \dfrac{5}{13}}[/tex]

Step-by-step explanation:

90° ≤ θ ≤ 180° means that it is in Quadrant II →   x is + ,  y is -

[tex]\cos \theta = \dfrac{5}{13}\quad \rightarrow\quad x = 5, \ r = 13\\\\\\\text{Use Pythagorean Theorem to find y}:\\x^2+y^2=r^2\quad \rightarrow \quad 5^2+y^2=13^2\quad \rightarrow \quad y = -12\\\\\\\cot\theta=\dfrac{x}{y}\quad =\dfrac{5}{-12}\quad =\large\boxed{-\dfrac{5}{12}}\\\\\\\sec\theta=\dfrac{r}{x}\quad = \dfrac{13}{5}\quad = \large\boxed{\dfrac{13}{5}}\\\\\\\cos\theta =\dfrac{5}{13}\quad \text{(Given)}\\[/tex]

Bryan owns a pet store. He puts one parrot in per cage, he has one parrot extra. If he puts two parrots per cage, he has a cage extra. How many parrots and cages does he have?

Answers

Answer:

4 parrots

3 cages

Step-by-step explanation:

Bryan has one more parrot than cages and one more cage than half the number of parrots. The following system of equations can be modeled for the number of parrots (P) and cages (C):

[tex]P=C+1\\C-1=\frac{P}{2}[/tex]

Solving the linear system:

[tex]P-1-1=\frac{P}{2}\\0.5P = 2\\P=4\\C=P-1=4-1=3[/tex]

Bryan has 4 parrots and 3 cages.

The ratio of the same side interior angles of two parallel lines is 1:14. Find the measures of all eight angles formed by the parallel lines and transversal. Sorry! Would appreciate if you give the answer by Tuesday! Thanks

Answers

Answer:

At the intersection of the first parallel line with the transversal, a = 12°, c = 168°, d = 12°, e = 168°. Counting counterclockwise from a.

At the first intersection of the second parallel line with the transversal, b = 168°, f = 12°, g = 168°, h = 12°. Counting clockwise from b.

Step-by-step explanation:

Let a be the first interior angle. Since they are in 1:14, the second same side interior angle is b = 14a.

We know that the sum of interior angles equals 180°.

So, a + b = 180°

a + 14a = 180°

15a = 180°

a = 180/15

a = 12°

At alternate angle to the other interior angle, b adjacent to a is c = b = 14a = 14 × 12 = 168°

The angle vertically opposite to a is d = a = 12°

The angle vertically opposite to a is b = e = 168°

At the intersection of the second parallel line and the transversal, the angle alternate to a is f = a = 12°

the angle vertically opposite to angle b is g = b = 168°

the angle vertically opposite to f is h = 12°

Given that the same-side interior angles formed by two parallel lines and a transversal have an angle ratio of 1:14, the eight angles formed are:

m<1 = 12°

m<2 = 168°

m<3 = 168°

m<4 = 12°

m<5 = 12°

m<6 = 168°

m<7 = 168°

m<8 = 12°

Applying the knowledge of ratio, transversal and parallel lines, we can determine the measures of all 8 angles that are formed when a transversal intersects two parallel lines as shown in the image attached below.

Let < 1 and < 6 be the two same-side interior angles whose measures are in the ratio, 1:14.

Thus:

m<1 : m<6 = 1 : 14

Recall:

Same-side interior angles are always supplementary. That is,

m<1 + m<6 = 180 degrees.

Let's apply ratio to find the measure of <1 and <6.

m<1 = ratio of <1 / sum of ratio x 180

[tex]m \angle 1 = \frac{1}{1 + 14} \times 180\\\\m \angle 1 = \frac{1}{15} \times 180\\\\m \angle 1 = 12^{\circ}[/tex]

m<6 = ratio of <6 / sum of ratio x 180

[tex]m \angle 6 = \frac{14}{1 + 14} \times 180\\\\m \angle 6 = \frac{14}{15} \times 180\\\\m \angle 6 = 168^{\circ}[/tex]

Since we know the measure of <1 and <6, we can find the measure of others as follows:

m<2 = m<6 = 168° (corresponding angles are congruent)

m<3 = m<6 = 168° (alternate interior angles are congruent)

m<4 = m<1 = 12° (vertical angles are congruent)

m<5 = m<1 = 12° (corresponding angles are congruent)

m<7 = m<6 = 168° (vertical angles are congruent)

m<8 = m<4 = 12° (corresponding angles are congruent)

In conclusion, given that the same-side interior angles formed by two parallel lines and a transversal have an angle ratio of 1:14, the eight angles formed are:

m<1 = 12°

m<2 = 168°

m<3 = 168°

m<4 = 12°

m<5 = 12°

m<6 = 168°

m<7 = 168°

m<8 = 12°

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Fully Factorise 5p^2 + 13p​

Answers

Answer:

The answer is p(5p+13).

Step-by-step explanation:

You have to take out the common factors :

[tex]5 {p}^{2} + 13p[/tex]

[tex] = p(5p + 13)[/tex]

Therefore, the factorisation stop here. As 5 and 13 are not common to each other.

Answer:

Step-by-step explanation:I don't say u must have to mark my ans as brainliest but if it has really helped you plz don't forget to thnk me...

7. Diana took 2 hours to cycle from town X to town Y. Her average speed was 10 kilometers per
hour.
a) Find the distance between the two towns. (2 marks)
b) If her average speed was increased by 2 kilometers per hour, how much time would she take
for the journey? (2 marks)

Answers

Answer:

a.) 20 kilometers

b.)1.67 hours

Step-by-step explanation:

a.) formula= speed =distance/time

Speed= 10km/hr

Distance=unknown

Time=2hrs

Therefore from formula, distance=speed x time

10 x 2

20 kilometers

b.) If average speed is increased by 2km/hr then

total speed= 2+10=12km/hr

Distance remains constant therefore distance= 20km

Therefore time =distance/speed

20/12

= 1.67 hours

I WILL MARK YOU BRAINLIEST!!!!

Answers

Answer:

0; one real roots

* the answer is C

Solve for x in the diagram below.
3x
75°
T =

Answers

Answer:
3x+75=180
3x=180-75
3x=105
x=105/3
x=35

Answer:

x=35

Step-by-step explanation:

The 2 angles are on a straight line together. This means they are supplementary. When they are added together, they must equal 180 degrees.

3x+75=180

We want to find out what n is. In order to do this, we have to get n by itself. Perform the opposite of what is being done to the equation. Keep in mind, everything done to one side, has to be done to the other.

75 is being added to 3x. The opposite of addition is subtraction. Subtract 75 from both sides.

3x+75-75=180-75

3x=180-75

3x=105

x is being multiplied by 3. The opposite of multiplication is division. Divide both sides by 3.

3x/3=105/3

x=105/3

x=35

x is equal to 35.

After reading 7/9 of a book , 40 pages are left .How many pages are there in the book

Answers

Answer:

180 pages

Step-by-step explanation:

Answer: 180 pages

Step-by-step explanation:

Let the equation be

x - 7/9x = 40

9x - 7x = 360

x = 360 / 2 = 180

The book has total 180 pages

Means he has read (180 - 40) = 140 pages

HELP FAST ILL GIVE A DECENT AMOUNT OF POINTS! A cylindrical water tank with an open top has a volume of 3818m3 and a radius of 9 m. Calculate the height of the tank. Round your answer to the nearest whole number.

Answers

Answer:15m

Step-by-step explanation:

The volume of a cylinder= πr^2h

Radius=9m

Volume=3818

Height=?

3818=22/7 x 9^2 x h

26726=22 x 81 xh

26726=1782h

H = 14.9

Height= 15m

If there is something that is not clear, let me know

Please help!
there were 6000 people at a football match
10% of them left 2 minutes before the end of the game to avoid traffic
50% of the rest left as soon as the match ended
a) how many people in total had left the football match when it ended?
b) what percentage of the original crowd was still there?

Answers

10%+50%=60%

60% of 6000=3600

a)3600 people had left the match when it ended

b)6000-3600=2400

40% of the crowd was still there

Sum of the ages of a father and the son is 40 years. If father's age is 3 times that of his son, then father's age is ________ * 2 points 35 40 30 45

Answers

Answer:

30

Step-by-step explanation:

Sum of ages= 40

Let the sons age be x

Fathers age = 3 times x or ,3x

So 3x+x=40

4x= 40

x= 40/4

= 10

Therefore the fathers age = 3x

= 3*10

= 30

Summer looked at the formula for the Pythagorean Theorem, a2 + b2 = c2, she said that it didn’t matter which sides of a right triangle were a, b, and c. Is she correct? A. Yes, she is correct. B. No, a must be the shortest side, then b, and c is the longest side. C. No, c must be the shortest side, then b, and a is the longest side. D. No, a and b are interchangable, and c is the longest side.

Answers

Answer: D. No, a and b are interchangeable,  and C is the longest side.

Step-by-step explanation:

Either A and B which are the two legs can be greater than the hypotenuse which is C. They hypotenuse has to always be greater than the two legs and the two legs have the same lengths but it can't be greater than the hypotenuse.  

For example let's say you have a right angle with side lengths  3,4 and 5.

5 in this case has to be always the hypotenuse.

A could be either 3 or 4  but not 5

And  B could also be 3 or 4 but not 5  

because A squared plus B squared is always equal to the hypotenuse which is 5.

3^2 + 4^2 = 5^2

9 + 16 = 25

25 = 25  

Answer:

D. No, a and b are interchangeable,  and C is the longest side.

Step-by-step explanation:

What is the slope of the line that contains the points (-23, -16) and (13, -16)?

Answers

Answer:

Use the slope formula to find the slope   . m = 0

Step-by-step explanation:

Ans:

3/2. your welcome

Step-by-step explanation:

What the answer to this

Answers

Answer:

(2 x + 5) (x - 1) (x + 7) thus the answer is D.)

Step-by-step explanation:

Factor the following:

2 x^3 + 17 x^2 + 16 x - 35

The possible rational roots of 2 x^3 + 17 x^2 + 16 x - 35 are x = ± 1/2, x = ± 5/2, x = ± 7/2, x = ± 35/2, x = ± 1, x = ± 5, x = ± 7, x = ± 35. Of these, x = -5/2, x = 1 and x = -7 are roots. This gives 2 x + 5, x - 1 and x + 7 as all factors:

Answer: (2 x + 5) (x - 1) (x + 7)

a plane flies 1640 miles in 4 hours. what is the average speed of the plane?

Answers

The answer to that question would be 410 miles per hour

Answer:

Speed = 410 miles/hour

Step-by-step explanation:

Speed = Distance / Time

Distance = 1640 miles, Time = 4 hours

Speed = 1640/4

Speed = 410 miles/hour

URGENT!! Please help if you can!!
Does this represent a nonlinear function, liner function, or no function at all?

Answers

Answer:

Not a function.

Step-by-step explanation:

It is not a function since it does not pass the vertical line test.

Answer:

not a function

Step-by-step explanation:

you can test it out by sliding your pencil thru the graph and making sure

the function doesn't cross thru the pencil twice

Describe ways you could look at two shapes and tell that one is not the image of the other under a rigid transformation

Answers

Answer:

see below

Step-by-step explanation:

a rigid transformation preserves lengths and angles

if the shapes don't look the same or they are the same shape but smaller or bigger than the other one it's not a rigid transformation

if the corresponding angles are the same that works too

Which image shows -1 7/8 on a number line? A. B. C. D.

Answers

Answer:

The number line is attached below.

Step-by-step explanation:

The number to be plotted on the number line is:

[tex]x=-1\frac{7}{8}[/tex]

The value of x lies between -2 and 0.

Draw a number line from -2 to 0 with intervals at every one-eight value.

Mark the point at [tex]x=-1\frac{7}{8}[/tex].

The number line is attached below.

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