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
Dafna11 [192]
3 years ago
6

Thief steals an atm card and must randomly guess the correct threethree?-digit pin code from a 99?-key keypad. repetition of dig

its is allowed. what is the probability of a correct guess on the first? try?
Mathematics
1 answer:
Zielflug [23.3K]3 years ago
3 0
We are given a key pad assuming that the numbers are of 10 options from 0 to 9. IN thsi case, guessing the 3 digit pin number can be determined via counting method. The first number has 10 options so as second and third. Hence the total number of options is 10^3 or 1000. The probability of getting the pin teh first time is 1/1000 or 0.001. 
You might be interested in
15 decreased by the product of a number x and 4 PLS HELP ME OMG
sergejj [24]

Answer:

4x - 15

Step-by-step explanation:

3 0
2 years ago
Two cars start moving from the same point. one travels south at 48 mi/h and the other travels west at 20 mi/h. at what rate is t
timofeeve [1]
<span>Two cars start moving from the same point. one travels south at 48 mi/h and the other travels west at 20 mi/h. at what rate is the distance between the cars increasing four hours later? so its 400%</span>
3 0
2 years ago
A radioactive substance decreases in the amount of grams by one-third each year. If the starting amount of the
katovenus [111]

Answer:

The sequence is geometric. The recursive formula is a_{n}=2/3a_{n-1}

Step-by-step explanation:

In order to solve this problem, you have to calculate the amount of the substance left after the end of each year to obtain a sequence and then you have to determine if the sequence is arithmetic or geometric.

The substance decreases by one-third each year, therefore:

After 1 year:

1452-\frac{1}{3}(1452)

Using 1452 as a common factor and solving the fraction:

1452(1-\frac{1}{3})=1452(\frac{2}{3})=968

You can notice that in general, after each year the amount of grams is the initial amount of the year multiplied by 2/3

After 2 years:

968(\frac{2}{3})=\frac{1936}{3}

After 3 years:

\frac{1936}{3}(\frac{2}{3})=\frac{3872}{9}

The sequence is:

1452,968,1936/3,3872/9....

In order to determine if the sequence is geometric, you have to calculate the ratio of two consecutive terms and see if the ratio is the same for all two consecutive terms. The ratio is obtained by dividing a term by the previous term.

The sequence is arithmetic if the difference of two consecutive terms is the same for all two consecutive terms.

-Calculating the ratio:

For the first and second terms:

968/1452=2/3

For the second and third terms:

1936/3 ÷ 968 = 2/3

In conclussion, the sequence is geometric because the ratio is common.

The recursive formula of a geometric sequence is given by:

a_{n}=ra_{n-1}

where an is the nth term, r is the common ratio and an-1 is the previous term.

In this case, r=2/3

7 0
3 years ago
Help me plsss ill give ten pointsssss
Bond [772]

Answer:

A

Step-by-step explanation:

AE=EC

5x-10=2x+5

5x-2x=5+10

3x=15

x=5

6 0
3 years ago
Read 2 more answers
A skier has decided that on each trip down a slope, she will do 3 more jumps than before. On her first trip she did 5 jumps. Der
taurus [48]
Since we are already given the amount of jumps from the first trial, and how much it should be increased by on each succeeding trial, we can already solve for the amount of jumps from the first through tenth trials. Starting from 5 and adding 3 each time, we get: 5 8 (11) 14 17 20 23 26 29 32, with 11 being the third trial.

Having been provided 2 different sigma notations, which I assume are choices to the question, we can substitute the initial value to see if it does match the result of the 3rd trial which we obtained by manual adding.

Let us try it below:

Sigma notation 1:

  10
<span>   Σ (2i + 3)
</span>i = 3

@ i = 3

2(3) + 3
12

The first sigma notation does not have the same result, so we move on to the next.

  10
<span>   Σ (3i + 2)
</span><span>i = 3
</span>
When i = 3; <span>3(3) + 2 = 11. (OK)
</span>
Since the 3rd trial is a match, we test it with the other values for the 4th through 10th trials.

When i = 4; <span>3(4) + 2 = 14. (OK)
</span>When i = 5; <span>3(5) + 2 = 17. (OK)
</span>When i = 6; <span>3(6) + 2 = 20. (OK)
</span>When i = 7; 3(7) + 2 = 23. (OK)
When i = 8; <span>3(8) + 2 = 26. (OK)
</span>When i = 9; <span>3(9) + 2 = 29. (OK)
</span>When i = 10; <span>3(10) + 2 = 32. (OK)

Adding the results from her 3rd through 10th trials: </span><span>11 + 14 + 17 + 20 + 23 + 26 + 29 + 32 = 172.
</span>
Therefore, the total jumps she had made from her third to tenth trips is 172.


3 0
2 years ago
Other questions:
  • Find the simplified product ^3 sqrt 9x^4 * ^3 sqrt 3x^8
    11·2 answers
  • The Coffee Counter charges ​$8 per pound for Kenyan French Roast coffee and ​$7 per pound for Sumatran coffee.
    15·1 answer
  • <img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B6%7D%7B3%7D%20" id="TexFormula1" title=" \frac{6}{3} " alt=" \frac{6}{3} " align=
    13·2 answers
  • Each student receives one of 4 calculator models and one of 3 types of ruler. How many possible outcomes are there if a student
    12·1 answer
  • Plz help I really need help
    13·2 answers
  • Solve the equation a/a^2-9 +3/a-3=1/a+3
    12·1 answer
  • Write the slope-intercept form of the equation<br> of each line<br> NEED HELP ASAP
    8·2 answers
  • Maths 5x² - x(x + 4)​
    10·1 answer
  • Harry has $10 in his bank account, and he adds $2 every week. based on this information, which representation best shows the rel
    5·2 answers
  • How many inches are there in a mile? ASAP
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!