A company prints contest codes on its fun-size bags of
candy. Each 6-character code consists of the letter A
followed by the letter H followed by 4 of the digits 0
through 9. The digits may repeat. Which of the
following expressions gives the number of different
6-character codes that are possible?
F. 1(1)(10)(10)(10) (10)
G. 2(1)(10)(9)(8)(7)
H. 2(1)(10)(10)(10)(10)
J. 2(2)(10)(9)(8)(7)
K. 2(2)(10)(10)(10)(10)

Answers

Answer 1

Using the Fundamental Counting Theorem, it is found that the expression that  gives the number of different  6 -character codes that are possible is:

F. 1(1)(10)(10)(10) (10)

Fundamental counting theorem:

States that if there are n things, each with [tex]n_1, n_2, \cdots, n_n[/tex] ways to be done, each thing independent of the other, the number of ways they can be done is:

[tex]N = n_1 \times n_2 \times \cdots \times n_n[/tex]

In this problem:

For the first two digits, there is only one outcome, A and H, respectively, hence [tex]n_1 = n_2 = 1[/tex].For the next four digits, as the digits may repeat, there are ten possible outcomes for each, hence [tex]n_3 = n_4 = n_5 = n_6[/tex].

Hence:

[tex]N = 1 \times 1 \times 10 \times 10 \times 10 \times 10[/tex]

And option F is correct.

To learn more about the Fundamental Counting Theorem, you can take a look at https://brainly.com/question/24314866


Related Questions

What’s the answer pls

Answers

Answer:

168.75 because u put a dot infront of 32 divide it by 54

Witch describes the slope of this line?
undefined
zero slope
negative slope
positive slope

Answers

Undefined slope because it’s a straight line

Answer:

Undefined

Step-by-step explanation:

2. The ratio of pretzels to peanuts in a trail mix is 4:9.
At the same rate if there are 80 pretzels how many
peanuts are there?

Answers

Answer:

170 peanuts I believe

Step-by-step explanation:

just did mental math, not sure if it's the right way

Can anyone help me pls

Answers

75%

Explain: count all the items in the list then count the caps and yo-yos together.
That’ll be 6/8 which is 75%
75% because there is 6/8 you will get the yo yo or the other one. so you put 6/8 = ?/100. you multiply 100 with 6 then divide 600 with 8

ACTIVITY 1
Directions: Find the unknown principal P, rate r, time t, and simple
interest Is by completing the table. Use separate sheet/s of paper for your
answer.
Principal (P)
Rate (T)
Time (t)
8%
15
2%
5
Simple Interest
(Is)
(1)
10,000
3,600
175,500
10,000
(2)
360,000
500,000
2
(3)
10.5%
Activity 2
Directions: Find the unknown principal P, maturity value, and
compound interest Ic by completing the table. Use separate sheet/s of paper
for your answer.
Maturity Value
Principal (P) Rate(r) Time(t)
Compound
Interest (Ic)
(1)
10,000
(3)
8%
2%
15
5
(2)
50,000​

Answers

Answer:

500,000

2

(3)

10.5%

Activity 2

Directions: Find the unknown principal P, maturity

What is the 10th term in -9,-6,-1,6,15

Answers

Answer:

90

Step-by-step explanation:

This is an increasing sequence, with -9 as its first term. The first increase is +3, then +5, +7, and +9. The differences increase by 2 each time. The sixth term will be 15 + 11, and the seventh would be 15 + 11 + 13. We can follow this pattern to get to the tenth term. 15 + 11 + 13 + 15 + 17 + 19 = 90

3 to 4 is equivalent to the ratio of x to 36. What will x be?

Answers

Answer:

x = 27

Step-by-step explanation:

Solve the problem using long division

Answers

Answer and Step-by-step explanation:

[tex](m^{2} - 3m - 7) (\frac{1}{m+2})[/tex]

       

        1m     -5

         ____________

[tex]m+2 |m^{2} - 3m - 7[/tex]

    - m^2 + 2m

___________________

               -5m   - 7

            - -5m   - 10

___________________

                           3

(The negatives cancel out).

[tex]m - 5 + \frac{3}{m+2}[/tex]   <- This is the answer.

#teamtrees #WAP (Water And Plant)

The sum of three consecutive even integers is 486. find all three integers​

Answers

160 and 162 and 164

Step-by-step explanation:

To find the three even integers, use the equation

x + (x + 2) + (x + 4) = 486

Then solve:

Add the common terms (the xs and numbers)

3x + 6 = 486

Subtract the 6 from both sides

3x = 480

Then divide

x = 160

So 160 + (160 + 2) + (160 + 4) = 486

160 + 162 + 164 = 486

So your three consecutive even integers are

Could someone answer and explain. Will mark the brainliest

Answers

Answer: I think you’re right??

Step-by-step explanation:

I'll give brainliest for the first and correct answer! The perimeter of a triangle is 135. The sides have lengths a, b, and c. The ratio of a to b is 3:5 and the ratio of a to c is 6:11. Find the length of each side of the triangle.

Answers

9514 1404 393

Answer:

  (a, b, c) = (30, 50, 55)

Step-by-step explanation:

If we rewrite the ratio of A to B so it has the same number of ratio units as in the ratio of A to C, we have ...

  A : B = 3 : 5 = 6 : 10

  A : C = 6 : 11

so ...

  A : B : C = 6 : 10 : 11

The total number of ratio units is 27. They stand for 135 real units, so each one stands for 135/27 = 5 real units.

Multiplying the last ratio statement by 5, we find the lengths of each of the sides.

  A : B : C = 6 : 10 : 11 = 30 : 50 : 55

The side lengths are (a, b, c) = (30, 50, 55).

What is the result when 6x3 + 11x2 + 9x + 2 is divided by 3x + 1?

Answers

Answer:

(6x^(3)+11x^(2)-19x+5)-:-(3x-2)

Step-by-step explanation:[tex]63+112+32+1[/tex]

for some reason it showed that but yeah hope this helps!

121/2% in to a fraction ​

Answers

add a picture, i dont understand the question

9514 1404 393

Answer:

  1/8

Step-by-step explanation:

You can replace % with /100 to make it a fraction.

  12 1/2% = (12 1/2)/100 = (25/2)/100 = 25/200 = 1/8

__

Or, you can reduce the decimal fraction.

  12.5% = 12.5/100 = 0.125 = 125/1000 = 1/8

Let N* be the total number of ranchers in Uruguay, and N(t) be the number of ranchers who have adopted an improved pasture technology there. Assume that the rate of adoption, , is proportional to both the number who have adopted the technology and the fraction of the ranchers who have not (and so are susceptible to conversion). Let a be the proportionality constant.

a. Write down the differential equation modeling N(t).
b. According to Banks (1993), N* = 17000, N(0) = 170, a = 0.5 per year.

Determine how long it takes for the improved pasture technology to spread to 80% of the population of the ranchers.

Answers

Answer:

A) dN / dt = aN( N* - N ) /N*

B) 12 years

Step-by-step explanation:

attached below is a detailed description of the solution

A) Write down the differential equation modelling N(t)

The differential equation of the modelling = dN / dt = aN( N* - N ) /N*

B) Determine how long it takes for improved pasture technology to spread to 80% of the population of the ranchers

firstly we will resolve the ODE and apply partial fractions, integrate and exponentiate before inputting the given data. attached below is a detailed solution

Convert 6 months to​ years

Answers

Answer: 0.500001

Step-by-step explanation: Hope that helps!

dentify as an increase or decrease. Then find the percent of increase or decrease. If necessary, round to the nearest percent.

Original: 150

New: 130

Answers

Answer:

Step-by-step explanation:

The difference is 130-150 = -20, a decrease.

-20/150 ≅ -0.133, a decrease of 13.3%

Find the product of (1)(3)(x).
Your
answer

Answers

Answer:

2/5.

Step-by-step explanation:Start with fractions for which you need to find the product. In this example, we will multiply the fractions 4/6 and 3/5.

Simplify the fractions to the lowest terms. A fraction needs to be simplified if the same number can divide both the numerator and denominator of a fraction. So 4/6 would become 2/3 and you would multiply by 3/5.

Multiply the numerators. Multiply the top number in one fraction by the top number in the other fraction. In this case 2 x 3 = 6.

Multiply the denominators. Multiply the bottom number of one fraction by the bottom number in the other fraction. In this case 3 x 5 = 15

Simplify the product again if necessary. Your product of 6/15 can be converted into 2/5 by dividing both the numerator and denominator by 3. So the product of 4/6 and 3/5

Leslie’s employer will match up to 3% of her salary in contributions to her 401(k). Her monthly salary is $3,200, and the company allows her to make contributions to a maximum of 10% of her salary. What is the maximum monthly deposit to Leslie’s 401(k), including her employer’s matching contribution?

Answers

Answer:

$416.00

Step-by-step explanation:

Leslie's 10% and her employer's 3% total 13% of her salary:

0.13 · $3200 = $416

The maximum monthly deposit to Leslie’s 401(k) account, including her employer’s matching contribution, is $416.

What is a matching contribution?

A matching contribution is a type of contribution that Leslie's employer decides to contribute to Leslie's 401(k) plan, which is an employer-sponsored retirement plan.

Data and Calculations:

Monthly salary = $3,200

Leslie's maximum contribution = 10% of salary

Employer's matching contribution = 3% of salary

Total contributions to the 401(k) plan = 13% of salary

= $416 ($3,200 x 13%)

Thus, the maximum monthly deposit to Leslie’s 401(k) account, including her employer’s matching contribution, is $416.

Learn more about matching contributions at https://brainly.com/question/16338999

#SPJ2

A ccompany offers free shipping on orders that weigh less than 3,000 grams. How much is this in kilograms. Be sure to include the correct unit in your answer.

Answers

Answer:

The answer is 5 Kilos.

Step-by-step explanation:

There are 1000 grams in 1 Kilo, thus 1000g= 1k, so 5000g=5k.

Answer:

its 3kg

Step-by-step explanation:


Help! Please Help lol

Answers

Rise over run, the slope is m=3/3 so y=3/3x+3, it’s +3 because that is where the y intercept is

Paul is a newspaper boy who received a total piecework
paycheck of $265.72. He receives 73 cents for every
newspaper he delivers. How many newspapers did he
deliver?

Answers

Answer:

364

Step-by-step explanation:

265.72 ÷ 0.73 is 364

Check:

364 x 0.73

265.72

hich expression is equivalent to -4(7 - 2m) + 11m?

Answers

Answer:

[tex] - 4(7 - 2m) + 11m \\ = - 28 + 8m + 11m \\ = \boxed{19m - 28}[/tex]

Expression (19m-28) is equivalent to -4(7 - 2m) + 11m.

liters = 5,000 milliliters

Answers

Answer:

5 liters

Step-by-step explanation:

1,000 milliliters= 1 liter.

5,000/1,000 is 5 liters

Answer:

5 liters

Step-by-step explanation:

but not sure about answer

what does 4f-2f + 3-f= equal

Answers

Answer:

f + 3

Step-by-step explanation:

Combine like-terms

4f - 2f - f +3

f + 3

Answer:

4f-2f+3-f

2f-f+3

f+3

f= -3

Step-by-step explanation:

ANSWWER QUICK IM TIMED

What is the y-coordinate of point W?

On a coordinate plane, point W is 2.5 units to the right and 1.5 units down.
A. -2.5
B. -1.5
C. 1.5
D. 2.5

Answers

Answer:

-1.5

Step-by-step explanation:

the y coordinate is along the vertical axis so because the point is 1.5 units down, the y-coordinate is -1.5

B, -1.5 is the answer

Polygon LMNPQ is shown on the coordinate grid. What is the preempted of polygon LMNPQ

Answers

The question is incomplete. Here is the complete question.

Polygon LMNPQ is shown on the coordinate grid. What is the perimeter of polygon LMNPQ?

A. [tex]2+12\sqrt{2}[/tex] units

B. [tex]7+2\sqrt{2}[/tex] units

C. [tex]10+4\sqrt{2}[/tex] units

D. [tex]12+2\sqrt{2}[/tex] units

E. [tex]12+4\sqrt{2}[/tex] units

Answer: E. [tex]12+4\sqrt{2}[/tex] units

Step-by-step explanation: Perimeter of a figure is the sum of all of its sides.

The polygon is drawn on a plane. The distance between a pair of points will give that side its measure.

Distance of two points is calculated as

[tex]d=\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}[/tex]

Segment MN:

Coordinates: M (2,4) and N (5,8)

[tex]d=\sqrt{(5-2)^{2}+(8-4)^{2}}[/tex]

d = 5

Segment ML:

Coordinates: M (2,4) and L (4,2)

[tex]d=\sqrt{(2-4)^{2}+(4-2)^{2}}[/tex]

[tex]d=2\sqrt{2}[/tex]

Segment NP:

Coordinates: N (5,8) and P (8,4)

[tex]d=\sqrt{(5-8)^{2}+(8-4)^{2}}[/tex]

d = 5

Segment PQ:

Coordinates: P (8,4) and Q (6,2)

[tex]d=\sqrt{(8-6)^{2}+(4-2)^{2}}[/tex]

[tex]d=2\sqrt{2}[/tex]

Segment LQ:

Coordinates: L (4,2) and Q (6,2)

[tex]d=\sqrt{(6-4)^{2}+(2-2)^{2}}[/tex]

d = 2

Calculating perimeter (P):

P = MN + ML + NP + PQ + LQ

P = [tex]5+2\sqrt{2}+5+2\sqrt{2}+2[/tex]

P = [tex]12+4\sqrt{2}[/tex]

Perimeter of polygon LMNPQ is [tex]12+4\sqrt{2}[/tex] units

(03.02)
Which of the following is a factor of 48x2 − 26x + 3? (1 point)

Select one:
a. 8x − 3
b. 12x − 1
c. 4x − 3
d. None of the above

Answers

Answer:

A

Step-by-step explanation:

48x^2-8x-18x=3

8x(6x-1)-3(6x-1)

(8x-3)(6x-1)

8x-3

Answer:

Step-by-step explanation:

48x2 - 26x + 3

48x2 - 18x - 8x + 3

6x( 8x - 3) - 1(8x - 3)

(8x - 3) and (6x - 1) are the factors

Option A is the correct answer

21 miles equal how many feet

Answers

Answer:

110, 880 feet

Step-by-step explanation:

5,280 feet in one mile x 21 miles

Answer:

110, 880 feet

Step-by-step explanation:

A 2-pound package of hamburger costs $7.00, and you pay $10.50 for a 3-pound package of hamburger. Use a double number line to complete the table.

Weight (lb)
2
3
4
5
Cost ($)
7.00
10.50
14.00
17.50

What is the unit rate in this relationship?

Answers

Step-by-step explanation:

fresco didn't Divo ratify jdndodnswjskd ksosbwjw

which expression is equivalent to (2m+3)+(m-1)?
A.5m
B.3m + 2
C.2m+2
D.3m-2

Answers

Answer:

i think the correct is D so 3m-2

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