The number of permutations of the 25 letters taken 2 at a time (with repetitions) is:
The number of permutations of the 9 digits taken 4 at a time (with repetitions) is:
Each permutation of letters can be taken with each permutation of digits, therefore the total number of possible passwords is:
1) We are given points on the line of the graph (0,3) and (1,1).
Rise/run represents the slope of the line.
Rise/run = -2/1 = -2.
Therefore, slope of the line is -2.
<h3>Correct option is A) -2 .</h3>
2) Given equation y=7.5x-5.
From the graph we can see that line crosses x-axis at 0.667.
But we don't find any such option.
But we can see line crossing y-axis is -5.
It seems that we need to find the point where line cut y-axis.
<h3>Therefore, correct option is C option.</h3><h3>C) - 5</h3>
Answer:
slope =-5-(-1)/0-3
=-5+1/-3
=4/3
Step-by-step explanation:
Using proportions, it is found that the computer will cost $1,043.04.
<h3>What is a proportion?</h3>
A proportion is a fraction of total amount.
In this problem, the total amount is composed by:
- An initial payment of $150.
- 6% sales tax, which means that the price is increased by 6%, that is, the previous amount is multiplied by 1.06.
Hence, the cost is given by:
C = 1.06 x (150 + 12 x 69.50) = 1043.04.
The computer will cost $1,043.04.
You can learn more about proportions at brainly.com/question/24372153
