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
tensa zangetsu [6.8K]
2 years ago
10

A product code consists of four letters followed by five digits. Only the letters X, Y, and Z can be used ( and any of the digit

s 0,1,2,3,4,5,6,7,8,9 can be used). For example, XYXZ31513, ZYZZ90654, YYYY44444 are possible product codes.
If one such product code is chosen at random, what is the probability it includes the letter Y?
Mathematics
1 answer:
Morgarella [4.7K]2 years ago
7 0

Answer:

\frac{49}{81}, 60.494%

Step-by-step explanation:

I am going to try to tackle this. I might miss a step as I am currently taking discrete mathematics.

We want to find all the possibilities with 1y, 2ys, 3ys, and 4ys, out of all total possibilities.

_ _ _ _   _ _ _ _ _

For the letters, in each spot, we have 3 choices. For the numbers, we have 10 choices in each spot

so

3*3*3*3 * 10*10*10*10*10

= 81*100000

= 8100000

The number of Y's will never affect the number of permutations of the numbers.

So:

For 1 y, we have

Y _ _ _ * 10*10*10*10*10

But we also have

_ Y _ _

_ _ Y _

and

_ _ _ Y

So we can multiply the number we get in one calculation by 4

4 *

Y _ _ _ * 10*10*10*10*10

2*2*2 * 10*10*10*10*10

= 800000 * 4  = 3200000

For 2 y's, we have

YY _ _

_ YY _

__ YY

3*

YY 2*2 * 10^5

4 * 100000

400000 * 3 = 1200000

For 3 y's, we have

YYY _

_ YYY

2 *

YYY 2 * 10^5

200000 * 2

= 400000

For 4 y's, we have

YYYY * 10^5

100000

Now we can add them all up and divide it by our original number 8100000

\frac{100000 + 400000 + 1200000 + 3200000}{8100000} = \frac{49}{81}

You might be interested in
B(n) = 4 – 6(n-1)<br> Find the 4th term in the sequence.
prisoha [69]

Answer:

secret hahahahahahhaha

Step-by-step explanation:

secret hahahahahahaha

5 0
3 years ago
Read 2 more answers
How many bags of pretzels does Tim buy
miss Akunina [59]
Is there anything else to this question 
6 0
3 years ago
WILL MARK BRAINLIEST! Shelly served the volleyball over the net 17 out of 25 times. What is her percentage of serving the ball o
Tju [1.3M]

Answer

68℅

Explanation

17/25 =

17 ÷ 25 =

0.68 =

0.68 × 100/100 =

0.68 × 100% =

(0.68 × 100)% =

68%;

Hope that this helps you and have a great day :)

8 0
3 years ago
Read 2 more answers
Explain how to determine if the number is a solution to the equation. n + 6 = 33 for n = 27
stepan [7]
If you subtract 6 from 33 youll end up with 27 and therefore 27 plus 6 equals 33
8 0
3 years ago
Read 2 more answers
Select the quadrant in which the terminal side of the angle falls.
Sedbober [7]

Answer:

The answer is below

Step-by-step explanation:

Select the quadrant in which the terminal side of the angle falls.

210° terminates in quadrant

-150° terminates in quadrant

390° terminates in quadrant

Solution:

The x and y axis divides the cartesian plane into four equal parts known as the four quadrants.

Angles between 0° and 90° are in the first quadrant, angles between 90° and 180° are in the second quadrant, angles between 180° and 270° are in the third quadrant while angles between 270° and 360° are in the fourth quadrant.

a) Since 210 degrees is between 180° and 270°, hence it terminates in the third quadrant.

b) -150° = 360 - 150 = 210°. Since 210 degrees is between 180° and 270°, hence it terminates in the third quadrant.

c) 390° = 390° - 360° = 30°.

Since 30 degrees is between 0° and 90°, hence it terminates in the first quadrant.

 

8 0
3 years ago
Other questions:
  • During the 2010 Great Backyard Bird Count, an average of
    12·1 answer
  • 625×2 is not 1,350, it is actually 1,250 but 675×2 is 1,350 though... it's ok everybody makes mistakes anyways, that's the best
    12·1 answer
  • What happens to the value of the expression \dfrac{50}{p} p 50 ​ start fraction, 50, divided by, p, end fraction as p decreases
    15·1 answer
  • If Elsa makes 210 snowmen and Anna melts 50 of them how many does they have left ?
    10·2 answers
  • The Punnett square shown presents a cross between two piranha. Both parents have large teeth.
    14·2 answers
  • Which of the following values is farthest to the left on the number line?
    12·1 answer
  • There are 17 books on a shelf. 8 of these books are new. the rest of them are used. (GIVING BRAINLEST TO BEST ANSWER) what is th
    5·1 answer
  • What is the area of the triangle below (in square units)?<br> 10 mm<br> 90mm
    11·2 answers
  • What is the slope of the line that passes through the points (-4,-4) and (-4,9)? Write answer in simplest form and explain how y
    6·1 answer
  • Given that f(x) = −x + 4 and g(x) = −2x − 3, solve for f(g(x)) when x = 2. (1 point)
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!