Students attending an international event were asked if they can speak arabic or chinese. 25% speak arabic, 20% speak chinese, 10% speak both languages. phrase each of the following in terms of the events, a: arabic and c: chinese (using complement, intersection, union). assume random selection of one student: a. what is the probability that the student can speak chinese or arabic? b. what is the probability that the student cannot speak either chinese or arabic?

a) 35%, b) 65%.

Step-by-step explanation:

Since we have given that

Probability of students speak Arabic = 0.25

Probability of students speak Chinese = 0.20

Probability of students speak both language = 0.10

Let A be the event for Arabic.

Let C be the event for Chinese.

a. What is the probability that the student can speak Chinese or Arabic?

b. What is the probability that the student cannot speak either Chinese or Arabic?

Hence, a) 35%, b) 65%.

starting with:    

5 + x - 12 = 2x - 7   

5 + x - 12 - x = 2x - 7 - x (subtract x from both sides)   

5 - 12 = x - 7 (combine and cancel x's from both sides)   

5 - 12 + 7 = x - 7 + 7 (add 7 to both sides)   

0 = x (add numbers together on both sides)       

so in order for the equation to be true, x must be 0.   

trying x = -0.5   

5 + x - 12 = 2x - 7 (original equation)   

5 + -0.5 - 12 = 2(-0.5) - 7 (plug in value of x)   

5 + -0.5 - 12 = -1 - 7 (did multiplication)   

-7.5 = -8 (did addition on both sides)       

since -7.5 is obviously not equal to -8, the value of -0.5 for x is wrong.   

trying x = 0   

5 + x - 12 = 2x - 7 (original equation)   

5 + 0 - 12 = 2(0) - 7 (plug in value of x)   

5 + 0 - 12 = 0 - 7 (did multiplication)   

-7 = -7 (did addition on both sides)       

since -7 equals -7, that demonstrates that the value of 0 for x is correct.   

trying x = 1   

5 + x - 12 = 2x - 7 (original equation)   

5 + 1 - 12 = 2(1) - 7 (plug in value of x)   

5 + 1 - 12 = 2 - 7 (did multiplication)   

-6 = -5 (did addition on both sides)       

since -6 is obviously not equal to -5, the value of 1 for x is wrong.

3

step-by-step explanation:

because where the point where the 2 lines intersect is (3,-1) the x value is 3