In the study the total number of males was 739 and the total number of all employees was 1501. The men who felt stressed or tensed out during work were 244 and those that never felt stressed out were 495. Assuming that, A= Employed adults was male and B= Employed adult felt tense or stress out at work. Then , P(A/B) = P(A∩B)/ P(B) P(B) is the probability of having a male. P(B) = 739/1501 P(A∩B) is the probability of a man being stressed or tensed out at work. and P(A∩B) = 244/ 1501 Hence, P(A/B) =(244/1501)/ (739/1501) = 244/739 = 0.3302. Thus, the probability that the employed work felt tense or stress at work given that the employed employee was male is 0.3302
40:28 are both divisible by 4. 40/4 is 10. 28/4 is 7. So the ratio would be 10:7 since neither is divisible by both the same number, this is the final ratio.
To find the reciprocal of a fraction, you switch the numerator and denominator, for example the reciprocal of 2/5 is 5/2. With our mixed number, we convert to an improper fraction, 17/3Then we find the reciprocal, which is 3/17. I hope this helps!