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
serious [3.7K]
2 years ago
7

Consider all seven-digit numbers that can be created from the digits 0-9 where the first and last digits must be odd and no digi

t can
repeat. What is the probability of choosing a random number that starts with 5 from this group? Enter a fraction or round your answer to
4 decimal places, if necessary.
Mathematics
2 answers:
Yuliya22 [10]2 years ago
7 0

Answer:

1/4 or 0.25

Step-by-step explanation:

The total possibilities of any 7 digit number using 0-9 is :

9×10×10×10×10×10×10=9000000

To work out the total possibilities in this question :

We look at the conditions :

The first digit can only be 5 numbers :

1 , 3 , 5 , 7 , 9

Now we subtract 5 from 9 :

9-5 = 4

Since no repeats for 2 , 3 , 4, 5, 6:

9 , 8 , 7 , 6 , 5,  

5 possibilities for the last digit :

Total possibilities for this code :

4 × 9 × 8 × 7 × 6 × 5 × 5 = 302400

If it begins with 5 that is only 1 possibility for the first digit

1 × 9 × 8 × 7 × 6 × 5 × 5 = 75600

Now we make a fraction :

75600÷302400

Dividing top and bottom by 75600 gives you 1/4 or 0.25

Hope this helped and have a good day

postnew [5]2 years ago
4 0

Answer:

Step-by-step explanation:

Comment

The first digit and the last digit are both odd. That tells you that so far what you have is one of 5 digits for the first digit and and one of 4 for the last digit. 4 because you can't repeat the first digit.

5, , , , , ,4

2 digits are gone 8 remain.

5* 8 * 7* 6* 5* 4* 4 = 134400

Part 2

Only one number can go at the beginning, and that is a 5. Everything else remains the same.

1 * 8 * 7 * 6 *5 * 4 * 4 = 26880

P(picking a number beginning with a 5 is  25880 /13440) = 0.2

You might be interested in
The table below shows the scores on a science test.
VLD [36.1K]

Answer:

B

Step-by-step explanation:

5 0
3 years ago
Which of the following can you determine, when you use deduction and start from a given set of rules and conditions? O A. What m
snow_tiger [21]

Answer:

Its C it must be true

Step-by-step explanation:

5 0
2 years ago
Can someone please help me with 9 and 10
padilas [110]

Answer:for number one its q and r and then its w,x,y for the second one

Step-by-step explanation:

hope its helps

7 0
3 years ago
F(x) = 2x² + x at (-1, 1)
lord [1]

Answer:

f(x) = 2 {x}^{2}  + x \\ at \: that \: point \: given \:  \: x =  - 1 \\ f(x) = 2 {( - 1)}^{2}  + ( - 1) \\ f(x) = 2 - 1 \\ f(x) = 1

4 0
3 years ago
Help me. what is three and one half times one and two thirds
Natali [406]

Answer:

3 1/2 × 1 2/3 = 5 5/6.

5 0
2 years ago
Read 2 more answers
Other questions:
  • 9400 dollars is placed in an account with an annual interest rate of 6.25%. To the nearest tenth of a year, how long will it tak
    6·1 answer
  • The number of caps a new online store sells increases by a factor of 4 each month. The function f(x) = 4x represents the number
    12·1 answer
  • What is the answer for 35=-7z
    5·2 answers
  • One hundred eight Americans were surveyed to determine the number of hours they spend watching television each month. It was rev
    10·2 answers
  • Click screenshot for the problem answer 13
    15·1 answer
  • A football team carried out a report to see the impact of stretching on preventing injury. Of the
    13·1 answer
  • Bonnie is four years older than Clyde.
    15·1 answer
  • Help with this please
    5·1 answer
  • Please please help me​
    8·1 answer
  • Answer for brainliest
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!