Answer:
0.3844 = 38.44% probability that two independently surveyed voters would both be Democrats
Step-by-step explanation:
For each voter, there are only two possible outcomes. Either the voter is a Democrat, or he is not. The probability of the voter being a Democrat is independent of other voters. So we use the binomial probability distribution to solve this question.
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 combinations of x objects from a set of n elements, given by the following formula.
And p is the probability of X happening.
62% of the voters are Democrats
This means that 
(a) What is the probability that two independently surveyed voters would both be Democrats?
This is P(X = 2) when n = 2. So
0.3844 = 38.44% probability that two independently surveyed voters would both be Democrats
Answer:
First Question = 16 Second Question = 8
Step-by-step explanation:
First one
32+48=x(2+3)
80=5x
Divide each sides with 5 and you have x=16
Second one
32+48=4(x+12)
80=4x+48
subtract 48 from 48 and 80 and you have 32=4x.
Divide it with 4 both side and you have x=8
(1.5) decimal form (mixed number form= 1/2-1) hope this helps.
Answer:
- 5x - 3y = 9 (Example)
- y = 1/2x - 3 (Non-Example)
- 2x + 3y = 0 (Example)
- x + y = 1 (Example)
- x = 6y (Non-Example)
- y = x - 2 (Non-example)
Step-by-step explanation:
Standard form of the equation is given by:
Ax + By = C
Where
- A, B and C are constants which must be Integers. A should always be positive.
Considering the definition, we can identify the examples and non-examples of standard from of a linear equation.
<h3>
5x - 3y = 9</h3>
- In a form of Ax + By = C
- A,B and C are constants
- A=5 is positive
It is an EXAMPLE of standard form of linear function
<h3>
</h3><h3>
y = 1/2x - 3</h3>
- Not in the form of Ax + By =C
NON-EXAMPLE
<h3>
</h3><h3>
2x + 3y = 0</h3>
- In a form of Ax + By = C
- A,B and C are constants
- A=5 is positive
It is an EXAMPLE of standard form of linear function
<h3>
</h3><h3>
x + y = 1</h3>
- In a form of Ax + By = C
- A,B and C are constants
- A=5 is positive
It is an EXAMPLE of standard form of linear function
<h3>
</h3><h3>
x = 6y</h3>
- Not in the form of Ax + By =C
NON-EXAMPLE
<h3>
</h3><h3>
y = x - 2</h3>
- Not in the form of Ax + By =C
NON-EXAMPLE
