Answer:
There can be 14,040,000 different passwords
Step-by-step explanation:
Number of permutations to order 3 letters and 2 numbers (total 5)
(AAANN, AANNA,AANAN,...)
= 5! / (3! 2!)
= 120 / (6*2)
= 10
For each permutation, the three distinct (English) letters can be arranged in
26!/(26-3)! = 26!/23! = 26*25*24 = 15600 ways
For each permutation, the two distinct digits can be arranged in
10!/(10-2)! = 10!/8! = 10*9 = 90 ways.
So the total number of distinct passwords is the product of all three permutations,
N = 10 * 15600 * 90 = 14,040,000
Answer:
C. His opportunity cost of one watermelon is 2/3 of a cantaloupe.
c. Fewer households can afford luxury imports
Step-by-step explanation: Opportunity Cost is an economic term used to describe the benefits or profits which a person or an investor gives up in order to make choice between alternatives.
Recession is a term used in economics to refer a state of decline in the general productive economic activities of a country or an economy, it is also the state of an economy where the Gross domestic product (GDP) growth is in the negative.
478×427= 204,106cm
204,106cm - 2041.06m
204,106cm - 20.411m2
Independent variable is the predictor variable which is the height and dependent variable is the response variable which is weight in this scenario.
The square of correlation coefficient gives the coefficient of determination. It is denoted by R² (R squared).
We are given:
R = 0.75
So,
R² = 0.75²
R² = 0.5625
R² = 56.25 %
The coefficient of determination tells how much of the trend of dependent data can be explained by the independent data using the linear regression model. So in the given case, Height can explain 56.25% of the trend in the weight.
