In a game, a player has to guess a 3-digit code in an attempt to unlock a trunk containing a prize. If the digits are to be chosen from the integers between 0 and 9 and they can be repeated, what is the probability that the player guesses the correct code on the first try?

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Explanation:

Consider the set

[tex]\left\{x_1,x_2,x_3,\ldots,x_n\right\}\\\\[/tex]

which has n items in it. We don't know anything about any individual item, but what we do know is that the mean is S.

So,

[tex]\text{mean} = \frac{\text{sum of values}}{\text{number of values}}\\\\\text{mean} = \frac{x_1+x_2+x_3+\ldots+x_n}{n}\\\\S = \frac{x_1+x_2+x_3+\ldots+x_n}{n}\\\\nS = x_1+x_2+x_3+\ldots+x_n\\\\x_1+x_2+x_3+\ldots+x_n = nS\\\\[/tex]

In short, the sum of the values [tex]\left\{x_1,x_2,x_3,\ldots,x_n\right\}\\\\[/tex] is exactly nS, where S is the mean of the same set.

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Next, we add 1 to [tex]x_1[/tex], add 2 onto [tex]x_2[/tex], etc to form this new set

[tex]\left\{x_1+1,x_2+2,x_3+3,\ldots,x_n+n\right\}\\\\[/tex]

Let's find the mean like so

[tex]\text{mean} = \frac{\text{sum of values}}{\text{number of values}}\\\\\text{mean} = \frac{(x_1+1)+(x_2+2)+(x_3+3)+\ldots+(x_n+n)}{n}\\\\\text{mean} = \frac{\left(x_1+x_2+x_3+\ldots+x_n\right)+\left(1+2+3+\ldots n\right)}{n}\\\\\text{mean} = \frac{nS+0.5n(n+1)}{n}\\\\\text{mean} = \frac{n(S+0.5(n+1))}{n}\\\\\text{mean} = S+0.5(n+1)\\\\[/tex]

which is why S+0.5(n+1) is the answer

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Let's look at a concrete example.

Consider the set {1,7,10} which has n = 3 items in it.

Its mean is,

S = (1+7+10)/3 = 18/3 = 6

Now increase the items in {1,7,10} by adding on the values {1,2,3} to each element in the order shown

1+1 = 2

7+2 = 9

10+3 = 13

So {1,7,10} becomes {2,9,13}

The mean of the new set {2,9,13} is...

mean = (2+9+13)/3 = 24/3 = 8

Notice how,

newMean = S + 0.5(n+1)

newMean = 6 + 0.5(3+1)

newMean = 8

which helps us see how the formula works and partially confirm the answer. While this example isn't definitive proof, it's still handy to go over. I recommend forming other sets to check to see that this formula works. Not only do I recommend trying different values, but also a different number of values as well (i.e. increase n to some larger integer).

Answer:

Step-by-step explanation:

Given:

Square both sides:

Now, square the 2a - 2/a:

Find the square root:

The first 10 natural numbers are 1, 2, 3, 4, 5, 6, 7, 8, 9, and 10.

Their sum is 55 .

Their mean (average) is (55/10).

That's 5.5 . (Choice b).

Answer:

(-1.5,0) (0,0.5)

Step-by-step explanation:

I graphed it

Answer:

multiply ata gagawin dyan Ewan

Answer:

43 points

Step-by-step explanation:

let the score of cowboys is x

and giants make score 9 which is twice less than the cowboys score so

giants score will be = 2x -9

and packers scored 14 more than giants that is (2x - 9) + 14

now sum of their scores is equal to 81 it means:

x + (2x - 9) + (2x -9) + 14 = 81

x + 2x - 9 + 2x - 9 + 14 = 81

5x = 81 + 4

5x = 85

x = 17

packers scored =  (2x - 9) + 14

= 2 (17) -9 + 14

=38 + 5 = 43 points

Answer:

70%

Step-by-step explanation:

Math

Answer:

70%

Step-by-step explanation:

HOW TO:

To convert a number into percent multiple it by 100 and then add the percent sign. These examples convert the numbers 23 and 158 to percents. To convert a number with a decimal into percent, multiply it by 100 and add the percent sign.

Figure Out:

50 = 100%

25 = 50%

Therefore, the only legible solution would be 70%

Answer:

2+3+4+5(2+3+4+5)=79

Step-by-step explanation

2+3+4+5×2+3+4+5=79

Therefore the answer is 79

Answer:x° ^56

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

They are congruent angles

Answer:

C

Step-by-step explanation:

Use  this formula:  y - y1 =  m(x - x1)         Given (10, -9) and slope (m) = -2

   y - (-9) = -2(x - 10)

   y + 9 = -2(x - 10)

Answer:

C. y + 9 = –2(x – 10)

Step-by-step explanation:

Coordinates (xA, yA)

10

-9

Slope(m)

-2

Point Slope Form

-2x - y + 11 = 0

Answer:

y = -2x + 23.

Step-by-step explanation:

If the line is parallel to

y = -2x - 5,

that means it has the SAME SLOPE. Parallel lines have the same slope, but they could have different y-intercepts.

The slope intercept form is:

y = mx + b.

m = slope.

b = y intercept.

In this case, the slope is -2.

So we know the answer will have a slope of -2.

So we can write:

y = -2x + b.

We just have to finish the answer by replacing "b" with a number.

To find out what "b" is, we plug in the point (8,7).

To plug this point in, we replace "x" with 8 and "y" with 7.

7 = -2(8) + b.

7 = -16 + b.

Now to get b by itself to solve for b, we have to add 16 to both sides.

7 + 16 = b.

b = 23.

So our final answer is: y = -2x + 23.

Answer:

-1/12

Step-by-step explanation:

change divide sign to multiply by reciprocating

Answer:

answer = 1/11

Step-by-step explanation:

The addition rule of probability.

P (T + C) = P(T) + P(C) - P(T ∩ C)

The probability that both these people also used a car given that both of them use a train is 1/11.

It is the chance of an event to occur from a total number of outcomes.

The formula for probability is given as:

Probability = Number of required events / Total number of outcomes.

We have,

The number of people who used the train and the car.

P (T U C) = 21 - 7 = 14

P(T) = Probability of the number of people who used the train = 12

P(C) = Probability of the number of people who used the car = 6

From the addition rule of probability.

P (T + C) = P(T) + P(C) - P(T ∩ C)

14 = 12 + 6 - P(T ∩ C)

P(T ∩ C) = 12 + 6 - 14 = 18 - 14 = 4

Now,

Two people are chosen.

P(C/T):

= P(T ∩ C) / P(T)

= [tex]^4C_2[/tex] / [tex]^{12}C_2[/tex]

= (4 x 3 / 2) / (12 x 11 / 2)

= 6 / 6 x 11

= 1/11

Thus,

The probability that both these people also used a car given that both of them use a train is 1/11.

Learn more about probability here:

https://brainly.com/question/14099682

#SPJ2

Answer: 3.9 gigawatts

Step-by-step explanation: 7 x 3 equals 21 so just multiply the 1.3 gigawatts by 3 which would mean 21 giant solar planets generate 3.9 gigawatts.

Answer:

1125 quarts

Step-by-step explanation:

5 hrs = 375 quarts

15 hrs = x quarts

5*3 = 15

375*3 = x

375*3 = 1125

1125 quarts

Answer:

f(x) = x + 1 is an example

Step-by-step explanation:

This is a one to one function because when you put in an input there would be a different answer for each number put in.

A way to find out if something is a one to one function is by using the horizontal line test.

Hope this helps

Answer:

1

1

2

+

1

2

Step-by-step explanation:

ombine like terms

2

−

7

+

1

0

2

+

7

+

1

2

1

1

2

−

7

+

7

+

1

2

Step-by-step explanation:

Area of a curved surface of a cylinder = 4400 cm².

The circumference of its base = 110 cm.

As we know that,

Formula of : circumference of base = 2πr.

→ 2πr = 110.

→ πr = 55.

Formula of : Curved surface area of cylinder = 2πrh.

→ 2πrh = 4400.

Put the value of πr = 55 in the equation, we get.

→ 2(55)h = 4400.

→ 110h = 4400.

→ h = 40 cm.

Height of cylinder = 40 cm.

Answer:

x-intercept = 6.2 , y-intercept = 3.1

Step-by-step explanation:

First turn 2x + 4y = 12.4 to slope-intercept form (y = mx + b) where m is slope and b is y-intercept.

Subtract 2x on both sides to move it to the other side, and get 4y by its self. Now it looks like 4y = -2x + 12.4 (since 2x and 12.4 aren't like terms, you wouldn't combine them).

Next, divide 4 on both side to get rid of it, and to get y by its self. Now you'll have

y = -2/4 x + 3.1 (since 12.4 can be divided by 4, that's how you get 3.1). You can already tell, just by looking at

y = -2/4 x + 3.1 , that the y-intercept is 3.1

Now we graph, to find out what the x-intercept is. I did it for you above.⤴⤴⤴

Answer:

-34

Step-by-step explanation:

Combine like terms

Hope this helped! Have a great day!!

Answer:

I think answer is

1 number answer is e

2. A

3. D

4. C

5.B

Answer:

hope it helps you..............

Answer:

Step-by-step explanation:

El área de las tierras de Juan es el producto del largo y ancho de cada pieza, por lo que el área de sus tierras son 19.9375 m² y 90.250 m² respectivamente.

El Área de las tierras de Juan se puede calcular así:

Área = largo × ancho

Tierra 1:

Dimensión = 7 ¼ metros por 2 ¾

Área de terreno 1 = 7 ¼m × 2 ¾m = 19.9375 m²

Tierra 2:

Dimensión = 9,50 metros por 9,50 metros

Área de tierra 2 = 9.50 × 9.50 = 90.250 m²

Por tanto, la superficie de los terrenos de Juan es de 19,9375 m² y 90,250 m² respectivamente.

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Answer:

trianglehjgiebdufhehjdjw

Answer:

I think it is 1/2

Step-by-step explanation:

rise/run

you go up 1 unit and you move 2 units to the side.

The amount earned by Tom is the product of the rate per hour and the number of hours worked which is $90.

The amount earned at the normal earning rate can be calculated thus :

Amount earned = $15 × 6 = $90

Therefore, the amount earned by Tom after working for 6 hours at the normal rate is $90.

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The total pay Tom earn for working 11 hours is £185

Given that Tom is paid £15 if he works for less than 7 hours and then paid 1 1/3 times his normal salary if he works more than 7 hours.

Given that he works for 11 hours, hence:

Pay for the first 7 hours = £15 × 7 hours = £105

Pay for the overtime = 1 1/3 × £15 × (11 - 7) = 4/3 × £15 × 4 = £80

Total pay = £80 + £105 = £185

Hence the total pay Tom earn for working 11 hours is £185

Find out more at: https://brainly.com/question/21938284

Answer: 37 percent of waste is disposed of in some form of a landfill, 8 percent of which is disposed of in sanitary landfills with landfill gas collection systems

The U.S. is the king of trash, producing a world-leading 250 million tons a year—roughly 4.4 pounds of trash per person per day Collectively, out of the 254 million tons of trash Americans can produce in one year, we recycle about 34.3 percent of it. For our average individual, 710.6 pounds are recycled and 1,361.4 pounds of trash are tossed out every year — about the weight of a grizzly bear Every year, U.S. landfills are filled with 139.6 million tons of waste, including 30.63 million tons of food. 26.82 million tons of plastic. 18.35 million tons of paper and paperboard.

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