Answer:
1.)
P(E) = 0.5
P(A) = 0.2
P(N) = 0.3
Conditional probability ;
0.47
Step-by-step explanation:
Let :
E = Excellent ; A = Average ; N = not up to standard
P(E) = 0.5
P(A) = 0.2
P(N) = 0.3
If Leo shows up ; this type of probability is called a conditional probability. It is the likelihood of an event based on a certain or already satisfied condition.
The probability that Leo is coming :
Leo ; Excellent = 0.7
Leo ; Average = 0.3
Leo; Not up to standard = 0.2
Hence, probability they Leo is coming :
(0.5 * 0.7) + (0.2 * 0.3) + (0.3 * 0.2)
0.35 + 0.06 + 0.06
= 0.47
The exponential function is given by 
<h3>
exponential function</h3>
An exponential function is in the form:

Where a is the initial value of y and b is the multiplier factor
Let y represent the population after t years.
Given an initial population of 210000, hence:
The population increases by 12.5% each year, hence:
- b = 100% + 12.5% = 112.5% = 1.125
The exponential function is given by 
Find out more on exponential function at: brainly.com/question/12940982
Answer:
3,4.5,6
Step-by-step explanation
0+ what gives 1.5=1.5 keep adding that and you'll get 3-4.5-6
Answer:
b = 10
Step-by-step explanation:
You can solve for b by dividing both sides by 1/5 because it will remove the 1/5 from the left side of the equation, but what you do to one side you must do to the other side as well.
(1/5b)/ (1/5) = 2/ (1/5)
b = 10
Question:
Evaluate the expression 5^x - 3^x for x=2
Answer:
5^x - 3^x for x=2 is 16
Step-by-step explanation:
Given
5^x - 3^x
x=2
Required
Evaluate
When fazed with question like this all you need is to substitute the value of x (or any other variable{s} used) in the expression.
Recall that x = 2
So, you have to substitute 2 for x in 5^x - 3^x
This gives

This can be further solved in 2 ways
1. Solve directly

= 
= 16
2. Expand using difference of two squares.
Difference of two squares is represented by

By comparison
becomes




For both ways, we'll arrive at the same answer.
Hence, 5^x - 3^x for x=2 is 16