The two-way frequency table shows the results of a survey of college students. find the probability that a student's first class of the day is a humanities class, given the student is male. round to the nearest thousandth.
first class of the day | male | female

humanities | 70 | 80
science | 50 | 80
other | 60 | 70

The probability is: 0.3889.

Step-by-step explanation:

Let R be an outcome that the class is of humanities.

Let S be an outcome that the student is male.

Total number of male students=70+50+60=180.

We need to find the probability that a student's first class of the day is a humanities class, given the student is male.

i.e. we need to find P(R|S),

where P(R∩S) is the probability that the student is in humanities class and is a male.

and P(S) is the probability that student is male.

and

Hence, the probability that a student's first class of the day is a humanities class, given the student is male is: 0.3889

dude thats to long figure it

step-by-step explanation:

so firstly, we need to isolate the y variables to be able to solve these inequalities. firstly, add 0.5x on both sides of the first inequality and subtract 1.5x on both sides of the second inequality:

now since the slope is positive for the first inequality, this means that the line going upwards belongs to the first inequality, and the line going downwards belongs to the second inequality.

next, since y ≥ in the first inequality, this means that the shaded region will be above the first inequality's line, thus shading regions a and b.

next, since y ≤ in the second inequality, this means that the shaded region is going to be below this line, thus shading regions a and c.

since both lines shade region a, this means that region a is the solution.

step-by-step explanation:

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