There are 90 4-digit palindromes
<h3>What are palindromes?</h3>
Palindromes are numbers whose reverse is the same as the original number
<h3>How to determine the count of 4-digit palindromes</h3>
Since the digit is 4, then
- The first digit of the palindrome can be any of 1 to 9 (i.e. 9 digits)
- The second digit can be any of 0 - 9 (i.e. 10 digits)
- The third digit must be the second digit (i.e. 1 digit)
- The last digit must be the first digit (i.e. 1 digit)
So, the total number of digits is:

Evaluate the product

Hence, there are 90 4-digit palindromes.
Read more about numbers at:
brainly.com/question/251701
Solving the system of equations we get solution set (38/11,26/11)
Step-by-step explanation:
We need to solve the system of equations:

Let:

Multiply equation 2 with 5 and subtract both equations to find value of x:

So, value of x = 38/11
Now, finding y:
Putting value of x in equation 2

So, value of y = 26/11
So, Solving the system of equations we get solution set (38/11,26/11)
Keywords: System of equations
Learn more about system of equations at:
#learnwithBrainly
Answer:
The probability of obtaining a sequence which is neither strictly increasing nor decreasing in 0.76.
Step-by-step explanation:
We have 10 possible outcomes on a single throw.
So, outcomes in 3 throws =
outcomes.
Let x be the number of strictly increasing arrangements.
Let y be the number of strictly decreasing arrangements.
Let z be the number of outcomes that are neither strictly decreasing nor strictly increasing
So, we have 
If we look at a strictly increasing arrangement from the other/opposite side, it will look like a strictly decreasing arrangement.
So, x = y
Hence, we can say the final equation will be :

And for strictly increasing arrangements ,all 3 numbers will be different and it can be done in 10C3 ways.
10C3=
= 120 ways
So, 
Thus 
So, the probability is = 
Therefore, the probability of obtaining a sequence which is neither strictly increasing nor decreasing in 0.76.
Answer:
4+8=12
Step-by-step explanation: