1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
jeyben [28]
3 years ago
7

A teacher randomly assigns her 30 students 4-digit I.D. numbers using the digits 0 to 9. No digits are repeated within an ID num

ber. What is the probability one of those ID numbers is 9876?
Mathematics
2 answers:
Olin [163]3 years ago
7 0
The number of ways 4 digit numbers can be forms using the digits 0 to 9 with no number repeated is given by

^{10}P_4= \frac{10!}{(10-4)!} = \frac{10!}{6!} =10\times9\times8\times7=5,040

The probability that one of the numbers is 9876 is given by \frac{1}{5,040}
m_a_m_a [10]3 years ago
5 0

Answer:

Probability = \frac{1}{5040}

Step-by-step explanation:

Given:

Number of students: 30

Student ID = 4 digit (0 - 9 without repetition within an ID)

Required:

Calculate the probability that one of those ID numbers is 9876?

Step 1: First we calculate the total possible IDs.

To do this, we make use of the permutation formula; We're using this formula because the question says assign

Hence, Number of possible IDs is as follows;

^{n} P_{r}

Where n = digit 0 - 9 = 10 digits

r = 4 digits

^{n} P_{r} becomes ^{10} P_{4}

^{10} P_{4} = \frac{10!}{(10 - 4)!}

^{10} P_{4} = \frac{10!}{6!}

^{10} P_{4} = \frac{10 * 9 * 8 * 7 * 6!}{6!}

^{10} P_{4} = 10 * 9 * 8 * 7

^{10} P_{4} = 5,040

Step 2: Calculate the required probability

Probability is calculated as number of required outcomes divided by number of total outcomes

There are only 1 possibility of having a 9876 out of a total of 5,040

Hence, the probability of having one of those ID numbers as 9876 =

Probability = \frac{1}{5040}

You might be interested in
What is the probability of picking an orange marble and flipping tails? ​ 1/7 1/14 2/14 8/14
vladimir2022 [97]

Answer:

Flipping tails would be 1/2 but how many marbles are there and how many orange ones are there?

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
What are some effects that can occur in a country if large numbers of people are out of work?
krok68 [10]

Answer:

It increases national debt. This happens because the unemployed don't participate in doing taxes because they do not have a job. It also effects other businesses because people with less money won't buy as many things which leads to other companies losing money.

7 0
2 years ago
Need help with this !!
adell [148]
The answer is (8,0)

that is the answer
7 0
3 years ago
Read 2 more answers
A square is cut from a rectangle. The side length of the square is half of the unknown width w. The area of the shaded region is
Virty [35]

Answer:

  • See below

Step-by-step explanation:

<u>The side of the square is w/2, then its area is:</u>

  • A = (w/2)² = w²/4

<u>The shaded area is the difference of areas of the rectangle and the square:</u>

  • 14w - w²/4 = 84

<u>This can be simplified:</u>

  • 56w - w² = 336
  • w² - 56w + 336 = 0

8 0
2 years ago
If f(x) = 2x - 1 and g(x) = x^2 - 2, find [g · f](x)<br><br> please show me how to do this
larisa [96]

Answer:

(x² -7)/(2x + 1)

Step-by-step explanation:

f(x) = 2x+1 and g(x) = x² -7

thus: (g/f)(x) = g(x)/f(x) = x² -7/2x + 1

5 0
3 years ago
Read 2 more answers
Other questions:
  • 2 is a solution for <br><br> True or False
    9·2 answers
  • How is a good way on how to know how to solve linear equations with a variable on each side?
    5·1 answer
  • Sarah is hiking on a trail near her home. She traveled 5 miles before stopping for a break. After the break, Sarah plans on incr
    8·2 answers
  • I've got another one of these ​
    10·1 answer
  • Which expression is equivalent to 3 square root of 125
    6·1 answer
  • PLEASE HELP EMERGENCY !! PLS PLS
    7·2 answers
  • Which expression is equivalent to StartFraction (3 m Superscript negative 1 Baseline n squared) Superscript negative 4 Baseline
    11·2 answers
  • B) What is the 4 times of the sum of 3and9? <br>​
    10·2 answers
  • PLEASE HELPPPPPPPPPPPPPPPPPPPP
    10·1 answer
  • Tell whether (-4, 3) is a solution of the system of linear inequalities.
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!