In a survey of 246 people, the following data were obtained relating gender to political orientation:

republican (r) democrat (d) independent (i) total
male (m) 54 45 28 127
femal (f) 44 55 20 119
total 98 100 48 246

a person is randomly selected. what is the probability that the person is:

a) male given that the person is a democrat?
b) republican given that the person is male?
c) female given that the person is an independent?

a) 45% probability that the person is a male, given that he is a democrat.

b) 42.52% probability that the person is a republican given that he is male.

c) 41.67% that an Independent person is a female.

Step-by-step explanation:

A probability is the number of desired people(outcomes) divided by the total number of people(outcomes).

Example.

In a sample of 50 people, 30 are Buffalo Bills fans. The probability that a randomly selected person is a Buffalo Bills is 30/50 = 0.6 = 60%.

So

a) Male given that the person is a Democrat?

There are 100 Democrats. Of them, 45 are male and 55 are female.

So there is a 45/100 = 0.45 = 45% probability that the person is a male, given that he is a democrat.

b) Republican given that the person is Male?

There are 127 males. Of those, 54 are Republican.

So there is a 54/127 = 0.4252 = 42.52% probability that the person is a republican given that he is male.

c) Female given that the person is an Independent?

There are 48 independent people. Of those, 20 are female.

So there is a 20/48 = 0.4167 = 41.67% that an Independent person is a female.

yo answer should be 6 if im not mistaken

step-by-step explanation:

x= -3 and

step-by-step explanation:

to find the roots of a cubic, use division or factoring to find the factors then set equal to 0. as this is a difference of cubes, it factors into

where a is the cube root of .

here   this is 27 and the cube root of 27 is 3. so we write using the form:

.

set each factor to 0 and solve for x.

x-3=0

x=3

the quadratic expression does not factor and must be solved using the quadratic formula.

where a = 1, b=3, and c=9

this cubic has two complex roots.