Majoring in business administration another major taken a public speaking class 10 20
not taken a public speaking class 45 25
At a certain college, 100 students were surveyed. The results are in the two-way table above.

One of these 100 students is selected at random to give more detailed answers to some follow-up questions.

What is the probability that the chosen student has taken a public speaking class or is majoring in business administration?
Find the value of P(taken a public speaking class | majoring in business administration).

answer: x=3 and y=4

step-by-step explanation:

3

step-by-step explanation:

< xcy ≅ < xby

step-by-step explanation:

in δcax and δbax,

so, δcax ≅ δbax (side-angle-side or sas)

since δcax ≅ δbax, we can conclude < acx ≅ < abx

in δacy and δaby,

so, δacy ≅ δaby (side-angle-side or sas)

since δacy ≅ δaby, we can conclude < acy ≅ < aby

now,

< acy ≅ < aby

=> < acx + < xcy ≅ < abx + < xby

=> < acx + < xcy ≅ < acx + < xby   (since < acx ≅ < abx already proved above)

subtracting < acx from both sides, we get

< acx + < xcy -< acx ≅ < acx + < xby -< acx

cancelling out < acx and -< acx from both sides, we get

< xcy ≅ < xby (proved)

your answer   is c

step-by-step explanation: