an online store randomly assigns shoppers a confirmation code after making a purchase. the confirmation code consists of 4 letters followed by 3 digits. within the confirmation code, letters can be used only once but digits can be repeated. how many different confirmation codes are possible?

A. 14,950,000
B. 5,311,735
C. 358,800,800
D. 358,800

Answers

Answer 1

Answer: C. 358,800,800

Step-by-step explanation:

Total digitrs ( from 0 to 9 ) = 10

Total letter ( from a to z ) = 26

To make the code , we require 4 letters followed by 3 digits .

If letter can be used once ( i.e. repetition is not allowed) , then the number of ways to arrange this sequence of letters = [tex]^{26}P_4[/tex]  [By using Permutation]

[tex]=\dfrac{26!}{(26-4)!}=\dfrac{26\times25\times24\times23\times22!}{22!}[/tex]

[tex]=26\times25\times24\times23=358800[/tex]

But repetition is allowed for digits , so number of ways to arrnge 3 digits = [tex]10\times10\times10=1000[/tex]

Now , the total number of ways tio make the code = 358800  x 1000

=358,800 ,000

Hence, the correct option is C. 358,800,800.


Related Questions

This net will be folded to form a prism. A net of a rectangular prism. From top to bottom, the rectangles are labeled B, D, E, F. The left side is labeled A and the right side is labeled C. Which pairs of faces will be opposite one another when the prism is created? Check all that apply. D and F A and C A and B B and F B and E B and C E and F A and F

Answers

Answer:

D and F

A and C

B and E

Step-by-step explanation:

due to the fact that it is a rectangle prism, and the A is on the left  and  C is on the right, the other alphabet  B,D,E F is straight down, you have to fold the d and f first, then A and C and lastly B and E to form the prism

Answer:

a,b,e

Step-by-step explanation:

What is the estimate of 3 1/5 - 2 1/2 + 2 3/5? Show your work

Answers

Answer:

3

Step-by-step explanation:

3 1/5 - 2 1/2 +2 3/5

3 1/5 ➡is about 3

-2 1/2 ➡is about 3

2 3/5➡is about 3

3-3+3=3

Determine the slope and y-intercept. 4x + y = -10

Answers

Answer:

slope = -4

y-intercept = -10

Step-by-step explanation:

First, isolate the y. Note the equal sign, what you do to one side, you do to the other. Subtract 4x from both sides:

4x + y = -10

4x (-4x) + y = -10 (-4x)

y = -4x - 10

Note the slope intercept form: y = mx + b

y = y

m = slope = -4

x = x

b = y-intercept = -10

Answer:

slope m=-4

y intercepts (0,-10)

Step-by-step explanation:

Someone please help me

Answers

Answer:

-240

Step-by-step explanation:

2/6k +80 = 3/6k +120

80=1/6k+120

-40=1/6k

- 240= k

What’s is 2/7 as a decimal to the nearest hundredth

Answers

Answer: 0.29

Step-by-step explanation: To get the answer, all we have to do is divide.

2 ÷ 7 = 0.285

Rounding to the nearest hundredth and you'll get 0.29

I hope this helps!

What is a straight line from the center to the circumference of a circle

Answers

Answer:

From the CENTER, it would be radius of the circle

Step-by-step explanation:

Stretching across the entire circle is diameter, while from the center is radius.

Un número consta de dos cifras cuya suma es 9.Si se invierten el orden de las cifras el resultado es igual al número dado más 9 unidades. Encuentra dicho número.

Answers

Answer:

45

Step-by-step explanation:

A number consists of 2 digits whose sum is 9 => x + y = 9

If the order of the numbers is inverted, the result is equal to the given number plus 9 units => (10*y + x) + 9 = (10*x + y)

Thus:

x + y = 9  => multiply by -9 => 9*y + 9*x = 81

10*y + x + 9 = 10*x + y =>  9*y - 9*x = -9

We are left then that:

9*y + 9*x = 81  (1)

9*y - 9*x = -9  (2)

we add both equations

18y = 72

y = 72/18 = 4

replacing

x + y = 9

x + 4 = 9

x = 5

Therefore the number is (10y + x) => (10 * 4 + 5) => 45

What is the number of years in which $560.00 will earn $112.00 at 4% per annum? *​

Answers

Answer:

The answer is "5 years".

Step-by-step explanation:

[tex]S.I= \$ \ 112.00\\\\P= \$ \ 560.00\\\\R= 4 \%\\\\T=?\\\\\bold{Formula:}\\\\\bold{S.I= \frac{P \times R \times T}{100}}\\\\T= \frac{S.I \times 100}{P \times R}\\\\T= \frac{112\times 100}{560 \times 4}\\\\T= \frac{28\times 100}{560}\\\\T=\frac{100}{20}\\\\T=5 \ years\\[/tex]

The number of computers a certain computer store sold since 2005 can be modeled by the function N(t)=5t+106 and the price per computer can be modeled by P(t)=13t^2-25t plus 600, where t is the number of years since 2005. According to this model, what is the total amount of revenue generated by the computer store's sales in 2010? Round your answer the nearest cent.

Answers

Answer:

104800

Step-by-step explanation:

The revenue is the profit times the number of computers sold

R(t) = P(t) *  N(t)

              = (13t^2-25t+600) * ( 5t+106)

We want the revenue in 2010 which is 5 years from 2005  so t = 5

R(5) = (13* 5^2-25*5+600) * ( 5*5+106)

       = (13 *25 - 125+600)*(25+106)

      = (325-125+600) * ( 25+106)

        (325-125+600) * ( 25+106)

         800* 131

          104800

Answer:

104,800

Step-by-step explanation:

2010 is 5 years after 2005, so t = 5

The number of computers sold:

N(5)=5(5)+106 = 131

Price per computer:

P(t)=13(5²)-25(5)+600 = 800

Revenue:

N × P

131 × 800

104800

Unit 5. 8) Please help. Which of the two-dimensional cross sections listed below could be created by cutting a cube with a plane?

Select all that apply.

Answers

Answer:

hexagonrectanglesquaretrianglepentagon

Step-by-step explanation:

Only a straight line can be formed at the intersection of a plane with another plane. The faces of a cube are planes, so a 2-dimensional (planar) cross section of a cube cannot be a curve. It cannot be an ellipse or circle.

What polygons are possible?

The intersection of a plane with a cube can be a polygon with 3, 4, 5, or 6 sides. That is, the 2-D cross section of a cube can be ...

  triangle, rectangle, square, pentagon, hexagon

__

The attachment shows some possibilities.

The following table shows the number of points scored last basketball game by each player on the Dragons basketball team.
Player Number of points scored
Daniela 555
Isabella 888
Rafaela 111111
Beatriz 777
Kalin 99

FIND MAD

Answers

Answer:

[tex]1.6[/tex]                                                                                 - written in [tex]2/12/2021[/tex]

Step-by-step explanation:

The answer is [tex]1.6[/tex] because, [tex]\frac{5+8+11+7+9}{5} = 8[/tex] and [tex]8-5=3[/tex], [tex]8-8=0[/tex], [tex]11-8=3[/tex], [tex]8-7=1[/tex], and [tex]9-8=1[/tex].

So use all the sums and you'll get this: [tex]\frac{3+0+3+1+1}{5} =1.6[/tex]

This is exactly how I got the answer, I also did it on khan because I didn't trust the other person above me, and I got the same answer as him. So I did this to prove he's correct.

Answer:

7.4

Step-by-step explanation:

VX
Does choosing a blue marble represent the complement
event of choosing a red marble? Explain.
B
Р
В

Answers

Answer:

red marble

Step-by-step explanation:

i did this yw

Which expression can be used for the missing side length of the rectangle?

A rectangle with a width of 2x inches and a diagonal length of 8x inches is given. The length of the rectangle is marked as ? inches.

A. x√6
B. 2x
C. x√30
D. 2x√15

Answers

Answer: Length = 2x✓15

Step-by-step explanation:

A rectangle has a width of 2x inches and a diagonal length of 8x inches. We are told to find the length of the rectangle. The square of the diagonal is the addition of the square of the length and square of the width.

Adjacent² = length² + width²

(8x)² = length² + (2x²)

Length² = 64x² - 4x²

Length² = 60x²

Length = ✓60x²

Length = ✓4 × ✓15 × ✓x²

Length = 2 × ✓15 × x

Length = 2x✓15

Simplify 4x-3(x-2y)+ .5(6x-8y)

Answers

Answer:

4x +2y

Step-by-step explanation:

4x-3(x-2y)+ .5(6x-8y)

Distribute

4x -3x+6y +3x -4y

Combine like terms

4x-3x+3x  +6y-4y

4x +2y

The area of a circle is 4π x 2 + 12πx + 9π.
a. What is an expression for the radius of the circle?
b. What is the least possible integer value of x for the circle to exist? Explain.

Answers

Answer:B D

Step-by-step explanation:

I just got it right

Out of 5 brands of chocolates in a shop, a boy has to purchase the brand which is most liked by children. What measure of central tendency would be most appropriate if the data is provided to him?

Answers

Answer: Mode

Step-by-step explanation:

There are three main measures of central tendency: the mode, the median and the mean.

Since the boy has to purchase the brand which is most liked by children, he is using mode.

The mode is the most commonly occurring value in a distribution. That is, the value that occurs most frequently in a set of observations


In which tables does y vary directly with x? Check all that apply

Answers

Answer:

first three

Step-by-step explanation:

go directly to the x- value ed2020

first second and third

!:)

please help :( -8x with an exponent of 2 + 24x

Answers

Steps to solve:

-8x² + 24x

~Apply exponent rule [ [tex]a^b^+^c=a^ba^c[/tex] ]

-8xx + 24x

~Rewrite 24x as 8 * 3x

-8xx + 8 * 3x

~Factor out common term

-8x(x - 3)

Best of Luck!

Answer: -8x(x-3)

Step-by-step explanation:

Your just factoring the gcf (greatest common factor)\

=-8xx+24x

Rewrite 24 as 8*3

=-8xx+8 *3x

Factor out common term: -8x

=-8x (x-3)

There are 200 Counters in a bag. 50 of them are taken out. And have a dab of white paint placed on them. these 50 marked counters are now put it back in the bag which is given a good shake. 80 counters are now taken out. About how many of them would you expect to be marked with a dab of white paint?

Answers

Answer:

20 Counters

Step-by-step explanation:

Total number of counter in a bag= 200 Counters

If 50 Counters out of the total have white paint, the value is then represented as

= 50/200

=1/4

The initial 50 Counters taken out is then put in the bag again and mixed thoroughly to get an even distribution.

If 80 Counters are taken out of the bag, the value is represented as

= 1/4×80

=80/4

=20

Therefore, 20 Counters are expected to be marked with a dab of white paint.

The area of a rectangle is 256.5 square meters. If the length is 18 m, what is the perimeter of the rectangle?

Answers

Answer:

64.5 m

Step-by-step explanation:

1)  Find the width:  A = L*W, and so W = A / L  =  (256.5 m²) / (18 m) = 14.25 m.

2)  Find the perimeter, using the formula P = 2L + 2W:

Here P = 2(14.25 m) + 2( 18 m) = 64.5 m

Find the volume of a right circular cone that has a height of 9.6m and a base with a diameter of 2.9m. Round your answer to the nearest tenth of a cubic meter.

Answers

Answer:

[tex] r = \frac{D}{2}= \frac{2.9m}{2}= 1.45 m[/tex]

If we convert the height to meters like this:

[tex] h = 9.6 cm *\frac{1m}{100 cm}= 0.096m[/tex]

And we want to find the volume of the cone and is given by:

[tex] V = \pi r^2 h[/tex]

And replacing we got:

[tex] V = \pi (1.45m)^2 (0.096m) =0.634 m^3 \approx 0.6 m^3[/tex]

Step-by-step explanation:

For this case we have a right circular cone with a height of 9.6cm and a base with a diameter of 2.9m. We can find the radius like this:

[tex] r = \frac{D}{2}= \frac{2.9m}{2}= 1.45 m[/tex]

If we convert the height to meters like this:

[tex] h = 9.6 cm *\frac{1m}{100 cm}= 0.096m[/tex]

And we want to find the volume of the cone and is given by:

[tex] V = \pi r^2 h[/tex]

And replacing we got:

[tex] V = \pi (1.45m)^2 (0.096m) =0.634 m^3 \approx 0.6 m^3[/tex]

A store buys shirts from a distributor for $10 each and marks them up 50%. After selling them for 3 weeks, they put them on sale for 50% off. Is the discounted price $10?

Answers

Answer:

No, it’s 7.50

Step-by-step explanation:

The discounted price is 7.5, but according to question the discounted price is $10. Therefore given statement is wrong.

What is percentage?

Percentage is a measurement to find value of given number out of hundred.

Given that,

Cost price of one shirt = $10.

Also, Shopkeeper marks up 50 % on shirts.

Marked up price = 10 x 50% = 10 x 50 / 100 = $15

Since, shopkeeper gives discount as put the shirts on sale for 50% off.

So the price after giving discount = 15 x 50 / 100 = 7.5

The discounted price of shirt is 7.5.

Hence, the given statement that is discount price is $10 is incorrect.

To learn more on Percentage:

https://brainly.com/question/24120406

#SPJ5

How does the graph change between point A and point C?
D
The graph increases, then decreases.
The graph decreases, then remains constant
The graph decreases, then increases.
The graph increases, then remains constant

Answers

Answer:

d

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Got 100% on a quiz

what is the answer to
0.75x-0.5=x+1.5

Answers

Answer:

The result for the equation is [tex]x = -8[/tex] .

Step-by-step explanation:

-Solve the equation:

[tex]0.75x -0.5 =x +1.5[/tex]

-Subtract [tex]x[/tex] from [tex]0.75x[/tex] :

[tex]0.75x -0.5-x =x -x+1.5[/tex]

[tex]-0.25x -0.5 = 1.5[/tex]

-Add both sides by 0.5 :

[tex]-0.25x -0.5 +0.5 =1.5 +0.5[/tex]

[tex]-0.25x = 2[/tex]

-Divide both sides by 0.25 :

[tex]\frac{-0.25x}{-0.25} =\frac{2}{-0.25}[/tex]

[tex]x = -8[/tex]

So, the answer for the equation is [tex]x = -8[/tex] .

How do you tell if two samples have the same mean and MAD as each other WITHOUT CALCULATING. I’m attaching a pic.

Answers

Answer:

Look below.

Step-by-step explanation:

I mean I can tell because set B is literally just +20 from Set A

evaluate using distributive property -7/3*5/9+13/3+4/9*-7/3

Answers

-7/3*5/9+13/3+4/9*-7/3=2

Urgent. Explain in words, how you would plot (0, 4) on a coordinate plane.

Answers

0 means u do not move right or left at all and the 4 means u move up 4 units.

Answer:

in the ordered pair, (0,4), the zero represents the x number, meaning that you would not move in any direction on the x axis( it stays on the origin). the 4 means you will move 4 units up the y axis. in the end you will have one point that in 4 units up from the origin.

Step-by-step explanation:

Consider the triangular pyramids shown. Pyramid 1 Pyramid 2 Pyramid 1 has 4 triangular sides with areas 44 meters squared, 62 meters squared, 24 meters squared, and 55 meters squared. [Not drawn to scale] Pyramid 2 has 4 triangular sides with areas 24 meters squared, 56 meters squared, 33 meters squared, and 14 meters squared. [Not drawn to scale] Pyramid 3 Pyramid 4 Pyramid 3 has 4 triangular sides with areas 26 meters squared, 60 meters squared, 31 meters squared, and 10 meters squared. [Not drawn to scale] Pyramid 4 has 4 triangular sides with areas 30 meters squared, 44 meters squared, 32 meters squared, and 15 meters squared. [Not drawn to scale] Which has the least lateral area? (Recall the formula for the area of a triangle, A = one-half b h) Pyramid 1 Pyramid 2 Pyramid 3 Pyramid 4

Answers

Answer:

c

Step-by-step explanation:

Answer:

Cc

Step-by-step explanation:

PLEASE HELP WILL GIVE BRAINLIESTT

Answers

Answer:

8

Step-by-step explanation:

I -5 I = 5

I -3 I = 3

5+3=8

really need brainliest!!

Answer:

8 and pls give brainliest to the other person

A bag contains 3 red jelly beans, 3 green jelly beans, and 4 blue jelly beans. If we choose a jelly bean, then another jelly bean without putting the first one back in the bag, what is the probability that both jelly beans will be blue?

Answers

Answer:

3/45

Step-by-step explanation:

10 jelly beans in the bag

3 red jelly beans

First pick: P of red jelly bean = 3/10

Second pick P of red jelly bean = 2/9

3/10*2/9 simplified = 3/45

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