Answer:
Step-by-step explanation:
For each name, there are only two outcomes. Either the name is authentic, or it is not. So, we can solve this problem using the binomial probability distribution.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
In which 
is the number of different combinatios of x objects from a set of n elements, given by the following formula.
And 
is the probability of X happening.
In this problem.
5 names are selected, so 
A success is a name being non-authentic. 40% of the names are non-authentic, so 
.
We have to find 
Either the number of non-authentic names is 0, or is greater than 0. The sum of these probabilities is decimal 1. So:
So
What you do is plug in the numbers then you will multiply length times width for each division of the shape add you product and that is your area
Step-by-step explanation:
Step 1 : 0.5x + y = 1.5
0.8x - 0.2y =6
Step 2 : y = 1.5 - 0.5x
0.8x - 0.2 ( 1.5 - 0.5x ) = 6
Step 3 : y = 1.5 - 0.5x
0.8x - 0.3 + 0.1x = 6
Step 4 : y = 1.5 - 0.5x
0.9x = 6.3
Step 5 : y = 1.5 - 0.5* 7
x = 7 ( put 7 into the x value above )
Ans: y = -2
x = 7
You can ask me if you don't understand any step^^
Answer:
It's 180 degrees? I'm not so sure.
Step-by-step explanation:
Answer:
Step-by-step explanation:
The Pythagorean theorem:
We have
Substitute:
