A 6-digit PIN number is selected. What it the probability that there are no repeated digits?
The probability that no numbers are repeated is
Write your answer in decimal form, rounded to the nearest thousandth.
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Answers

Answer 1
Mark Brainliest please

Answer: 0.1512

So I know that there are 10 possible digits that can be selected, each time the pool of selected digits gets smaller.

The first digit cannot be zero therefore there are 9 possibilities for this digit. Then, seeing as the order doesn't matter, but repeats do, so I thought a permutation would be the correct method to apply.

9 * ((9!)/(9-5!)) = 136,080 (<-- total number of 6 digit numbers)

Without repeats and no 0 as first digit

Total number of 6 digit numbers = 10^6

Therefore the probability of this scenario happening is:

(139,080/10000000) = 0.13608
Answer 2

Answer:

we got 10 digits to choose from for the first digit, 9 for the second and so on

[tex]10 \times 9 \times 8 \times 7 \times 6 \times 5[/tex]

scenarios that got no repeated digits.

the total number of possible PINs with 6 digits is

[tex]10 \times 10 \times 10 \times 10 \times 10 \times 10[/tex]

or just 10⁶

so the fraction we are looking for is the number of valid states decided by all possible states.

[tex] \frac{10 \times 9 \times 8 \times 7 \times 6 \times 5}{ {10}^{6} } [/tex]

=0.1512

rounded to the nearest thousandth it's

0.151

(actually, I didn't expect the probability to be around 15 percent)

hope it helps. asked question whenever you like

kind regards

Alex


Related Questions

An advantage of a retirement account is
money is taken out of your paycheck before you pay taxes on it
 for making early withdrawals
O you sometimes have to find your own investment house
low interest rates

Answers

Answer: A) Money is taken out of your paycheck before you pay taxes on it.

I'm assuming your teacher is talking about tax deferred retirement plans. This is where the money you put into the retirement account isn't part of your taxable income (but the money coming out is taxed). In short, the tax is not applied to the input but it is applied to the output.

This is in contrast to a tax exempt retirement account where the input money is taxed but the output money is not taxed. This is of course a very simplified picture. The actual tax rules and various investment options are much more complicated.

Nori had 2 bags of apples. He used 1. bags of apples to make pies. How
many bags of apples does Nori have left?

Answers

Answer:

8/12 left

Step-by-step explanation:

8/12 of a bag left

2 1/12 = 25/12

1 5/12 = 17/12

25-17 = 8

The answer is 8/12

Answer:

1

Step-by-step explanation:

2 there are 2 and 1 Number before 2 is 1 so it one

What is the value of this number in decimal form?
Five and three hundred eight thousandths.

Answers

5.308 would be the correct answer

what is the sum of the angles for a polygon of 62 sides


hurry pls okk​

Answers

Answer:

10800

Step-by-step explanation:

Sum of all angles in a 62 sided polygon = 10800°.

Which is a possible turning point for the continuous
function f(x)?

Answers

Step-by-step explanation:

Since we know that the function of the graph is continuous, then (-2, -1) is the most likely turning point because at this point the function stops increasing and starts decreasing.

Lighter cars are more fuel-efficient than heavier cars. An environmentalist would like to estimate the true mean weight
of all cars. To do so, she selects a random sample of 30 cars and determines the 90% confidence interval for the true
mean weight to be 2.8 to 3.4 tons. Which of these statements is a correct interpretation of the confidence level?
O There is a probability of 0.90 that the confidence
interval (2.8, 3.4) captures the true mean weight of all cars.
O The environmentalist can be 90% confident that the true mean weight of all cars is between 2.8 and 3.4 tons,
O If many random samples of size 30 are selected from the population of all cars, approximately 90% of the sample
means will be between 2.8 and 3.4 tons.
O If many random samples of size 30 are selected from the population of all cars, about 90% of the intervals would
capture the true mean weight of all cars.

Answers

Answer:

The environmentalist can be 90% confident that the true mean weight of all cars is between 2.8 and 3.4 tons.

Step-by-step explanation:

x% confidence interval:

A confidence interval is built from a sample, has bounds a and b, and has a confidence level of x%. It means that we are x% confident that the population mean is between a and b.

In this question:

90% confidence interval between 2.8 and 3.4 tons. This means that the environmentalist can be 90% sure that the mean weight of all cars is in this interval, that is:

The environmentalist can be 90% confident that the true mean weight of all cars is between 2.8 and 3.4 tons.

Make (a) as the subject S = 3t + at2​

Answers

the answer is ( a=st2-3t )

PLEASE HELP GEOMETRY!!!!!!!! DUE TODAY

What is the measure of

Answers

(D) step by step below

4. If your balance on an investment of $100 that has been invested at
a rate of 7.5% is $178.35 at the end of 8 years, does the plan have simple
interest or compound interest?

Answers

Answer:

Simple interest

Step-by-step explanation:

Because its a period of 8 years

please help i suck at math and i really need help i do anything just help


Emma and Zeke own an on-line business, EZ Coasters, that sells cork beverage coasters, which can be bought plain or with logos. The price for both types of coasters is $3.00 each. There is also a one-time set-up charge of $25 for coasters with a logo.


1) Write an equation describing the relationship between:
a) The number of plain coasters bought and the cost of the coasters.

b) The number of coasters with a logo bought and the price of the coasters.

c) Is either coaster relationship proportional? Explain in writing how you know.

d) Explain what the unit rate of the line described by each equation means in the context of the coasters.

2) EZ Sales also sells plain natural sandstone coasters for $4.00 each.
a) Write the equation describing this relationship.
b) Indicate whether or not it is a proportional relationship and explain why?
c) Will the graph of this equation ever intersect the graph of the equations for either of the other two EZ Coasters? Explain in typing how you made your decision.

Answers

Answer:

a

Step-by-step explanation:

A survey of 100 people in high school was used to find what subject was preferred. Fill in whats missing

What's the joint frequency a 9th grader liked math?
Whats the marginal relative frequency of 9th graders surveyed
Given a student was in 10th grade, whats the likelyhood the student preferred english?
Given the subject was science, whats the likelyhood the student was a freshman?
Please help i really dont know what to do

Answers

Question: What's the joint frequency a 9th grader liked math?

Answer: 3%

Explanation:

Check out the attached image below. I've filled in the table with the missing values. The upper left corner is 3 because 7+3 = 10 in the first column. You'll fill in the other values in a similar fashion. Once we filled out the table, we can answer all of these questions. There are 3 ninth graders who like math out of 100 people total. So the final answer is 3/100 = 0.03 = 3%.

-----------------------------------

Question: What's the marginal relative frequency of 9th graders surveyed?

Answer: 10%

Explanation:

Again, refer to the table to find that there are 10 ninth graders out of 100 total. So 10/100 = 0.10 = 10% is the answer.

-----------------------------------

Question: Given a student was in 10th grade, what's the likelihood the student preferred English?

Answer:  46%

Explanation:

We only focus on the 10th graders because of the "given". There are 23 people in this row who like English out of 50 total sophomores. So 23/50 = 0.46 = 46% of the tenth graders liked English.

-----------------------------------

Question: Given the subject was science, what's the likelihood the student was a freshman?

Answer: 72.5%

Explanation:

Focus on the science column only. There are 29 freshmen out of 40 students total. We get the percentage of 29/40 = 0.725 = 72.5%

Gianna brought seven necklaces for $50.75 and Winnie brought three necklaces for $24.60 who got the better deal

Answers

Gianna paid less per necklace so she got the better deal

Gianna: 50.75 / 7 = 7.25
So she paid $7.25 per necklace
Winnie: 24.60 / 3 = 8.20
So she paid $8.20 per necklace

Find the surface area of a square pyramid with side length 4 yd and slant height 6 yd.

Answers

Answer:

112 yd²

Step-by-step explanation:

Surface area of the square pyramid = area of base + perimeter of base × slant height

Area of base = s²

s = 4 yd

Area = 4² = 16 yd²

Perimeter = 4(s)

Perimeter = 4(4) = 16 yd

Slant height = 6 yd

Surface area of the square pyramid = 16 + 16 × 6

= 16 + 96

= 112 yd²

What is the interest on a loan of $7,850 that is borrowed at 6.55% for 18 months?

Answers

Answer:

[tex]{ \tt{simple \: interest = }} \\ { \tt principle \times rate \times period}\\ \\ = 7850 \times 6.55\% \times 18 \\ { \tt{interest = 925515 \: dollars}}[/tex]

Answer:

$925,515

Step-by-step explanation:

multiply 7850 by 131/ 20 because 6.55 as a fraction is 131/20 and then multiply it by 18 and divide it by 20 which is the denominator of 131/20

In the diagram, which two points are shown to be collinear?

Answers

Can u post the picture so we can help?

Answer:

ysysysuajan. ?bzjsjsnanannshzbzvsvs

Step-by-step explanation:

sgvsbsbahajananba

will give brainly please help now <3

Answers

Answer:

16 ounces/minute

Step-by-step explanation:

1 pound = 16 ounce

60 pound = 960 ounce

1 hour = 60 minute

960/60 = 16

The archaeological site of Tara is more than 4000 years old. Tradition states that Tara was the seat of the high kings of Ireland. Because of it's archaeological importance, Tara has received extensive study (Reference: Tara: An Archaeological Survey by Conor Newman, Royal Irish Academy, Dublin). Suppose an archaeologist wants to estimate the density of ferromagnetic artifacts in the Tara region. For this purpose, a random sample of 55 plots, each of size 100 square meters, is used. The number of ferromagnetic artifacts for each plot is determined.

Answers

Answer: Hello your question is incomplete attached below is the complete question.

answer:

a) The number of ferromagnetic artifacts per 100 square meters ( option A )

b) quantitative  ( option D )

c) Entire Tara region ( option A )

Step-by-step explanation:

a) Determine The Variable

The number of ferromagnetic artifacts per 100 square meters

b) The Variable is quantitative

This is because the variable used in the study has numerical value attached to it hence we can say it is a quantitative variable.

c) The implied population

Entire Tara region

What is the product?
(-282 +8)(502-65)

Answers

Answer:

option c is the answer for pic

and for question the answer is

(-274)*(437)

-119738

Answer:

the first one

Step-by-step explanation:

The slope-intercept form of the equation of a line that passes through point (–3, 8) is y = –y minus 3 equals negative StartFraction 2 Over 3 EndFraction left-parenthesis x plus 8 right-parenthesis.x + 6. What is the point-slope form of the equation for this line?

y – 3 = –StartFraction 8 Over 5 EndFraction x plus StartFraction 2 Over 3 EndFraction equals StartFraction one-half EndFraction minus StartFraction 1 Over 5 EndFraction x.(x + 8)
y + 3 = –y plus 3 equals negative StartFraction 2 Over 3 EndFraction left-parenthesis x minus 8 right-parenthesis.(x – 8)
y + 8 = –y plus 8 equals negative StartFraction 2 Over 3 EndFraction left-parenthesis x minus 3 right-parenthesis.(x – 3)
y – 8 = –y minus 8 equals negative StartFraction 2 Over 3 EndFraction left-parenthesis x plus 3 right-parenthesis.(x + 3)

Answers

D. y – 8 = –y minus 8 equals negative Start Fraction 2 Over 3 End Fraction left-parenthesis x plus 3 right-parenthesis.(x + 3)

Step-by-step explanation:

I took the test and got it right

Answer:

its D just did the test on edge

Step-by-step explanation:

Faith has some coins in two different pockets. The shaded areas in the diagrams below represent the value of the coins in each pocket.

What is the total value, in dollars, of the coins that Faith has in both pockets?​

Answers

Answer:

$3.05

Step-by-step explanation:

Each box is $0.05

The shades boxes represent the value of coin in each pocket :

Number of shaded boxes on the left = 24

Value of coins in left pocket = 24 * $0.05 = $1.2

Number of shaded boxes on the right = 37

Value of coins in right pocket = 37 * $0.05 = $1.85

Tital value if coins :

$1.85 + $1.2

= $3.05

Please help x – 6 ≥ –7?

Answers

Answer:

x ≥ -1

Step-by-step explanation:

just add 6 to both sides.

Answer:

Inequality Form: x≥−1

Step-by-step explanation:

A new car has a sticker price of $22,450, while the invoice price on it was $19,450. what is the dollar amount of markup​

Answers

Answer:

Step-by-step explanation:

Dollar amount of markup  = sticker price - invoice price

sticker price is what you pay to buy the car

invoice price is what the dealership has to pay the manufacturer of the car.

sticker price = 22450

invoice price = 19450

Dollar amount of the markup = 22450 - 19450

Dollar amount of the markup = 3000

How long is 20 yards?

A. 600 in.
B. 720 in.
C. 840 in.
D. 900 in.

Answers

Answer:

B) 720 in

Step-by-step explanation:

1 yard is equal to 36 inches.

So, we just have to multiply 20 by 36:

20 × 36 = 720

20 yards is 720 inches.

The answer is B. 720 in.

Find the limit of the function by using direct substitution Lim x-0(x^2+10)

Answers

9514 1404 393

Answer:

  10

Step-by-step explanation:

Maybe you want ...

  [tex]\displaystyle\lim_{x\to 0}(x^2+10)=0^2+10=\boxed{10}[/tex]

To wrap a gift, you can choose from 6 kinds of wrapping paper, 3 gift bags, 4 colors of ribbon, 2 bows, and 5 stickers. You choose either a style of wrapping paper or a gift bag. Then you choose one of each of the remaining items. Find the total number of ways you can wrap the gift.

Answers

Answer:

the answer would be 480 different ways because you would multiply all the numbers.

what’s the length of the middle segment ?

Answers

Answer:

AB = 15

Step-by-step explanation:

I am assuming this is a trapezoid. The length of the mid-segment of a trapezoid can be found by taking the average of the two parallel sides, in this case, VW and UX.

The average is found by adding the total values and dividing by the number of values, which in this case, is 2.

9+21 = 30

30/2 = 15

AB = 15

Find the volume of the prism.
8 cm
12 cm
6 cm

Answers

Area of base triangle = 1/2×base×height

Area of base= 8×6×1/2= 24cm²

Area of prism = Bh = 24 × 12 = 288cm³

Answer:

Solution given:

base[b]=6cm

height [h]=8cm

length[l]=12cm

volume of a prism=area of triangle *length

=½*b*h*l=½*6*8*12=288cm³

is a required answer.

Find the area of the sector in
terms of pi.
90°
24
Area = [?]
Enter

Answers

Step-by-step explanation:

area of a circle is r x r x pi

so one quarter of it us r x r x pi /4

76%
Here are ten numbers:
3 7 2 4 7 5 7 1 8 8
a) Write down the mode.
b)
Work out the median.
c)
Calculate the mean.
d)
What is the range?​

Answers

Answer:

Mode = 7

Median = 6

Mean = 5.2

Range = 7

Step-by-step explanation:

Mode:

The most repeated number is 7 (thrice).

Median:

First, arrange them in order.

1, 2, 3, 4, 5, 7, 7, 7, 8, 8

The two middle numbers are 5 and 7. Find their average.

(5 + 7)/2 = 6

Mean:

(3+7+2+4+7+5+7+1+8+8)/10 = 5.2

Range:

Largest number - smallest number

8 - 1 = 7

Hope this helps!

What is the factored form of this expression?
4x to the third power– 8x to the second power– 9x+ 18

Answers

4x^3-8x^2-9x+18

X(4x^2-8x-9)+18
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