10000 digits can be used for 4 digit A.T.M code.
<u>Solution:</u>
Given that A.T.M required 4 digit codes using the digits 0 to 9.
Need to determine how many four digit code can be used.
We are assuming that number starting with 0 are also valid ATM codes that means 0789 , 0089 , 0006 and 0000 are also valid A.T.M codes.
Now we have four places to be filled by 0 to 9 that is 10 numbers
Also need to keep in mind that repetition is allowed in this case means if 9 is selected at thousands place than also it is available for hundreds, ones or tens place .
First digit can be selected in 10 ways that is from 0 to 9.
After selecting first digit, second digit can be selected in 10 ways that is 0 to 9 and same holds true for third and fourth digit.
So number of ways in which four digit number is created = 10 x 10 x 10 x 10 = 10000 ways
Hence 10000 digits can be used for 4 digit A.T.M code.
Answer: 1:50
The scale factor is 5/250 = 1/50
Answer:
You need to add more context to the question. I cannot answer it without knowing what "These scales" are.
Answer:
Value of ![[(\frac{2}{3}) ^0]^{-3}](https://tex.z-dn.net/?f=%5B%28%5Cfrac%7B2%7D%7B3%7D%29%20%5E0%5D%5E%7B-3%7D)
is, 1
Step-by-step explanation:
To find the value of ![[(\frac{2}{3})^0]^{-3}](https://tex.z-dn.net/?f=%5B%28%5Cfrac%7B2%7D%7B3%7D%29%5E0%5D%5E%7B-3%7D)
Using exponents power rule:
then;
Simplify:
By Zero exponent rule: Anything raised to the power 0 is 1. i.e,
then;
= 1
Therefore, the value of is, 1
1 dozen = 12
3 dozen = 3 x 12 = 36
36/8 = 4.5
They need 4.5 times the amount:
4.5 x 1.5 teaspoons = 6.75 teaspoons ( 6 3/4)
