Mary - M
<span>Jim - J </span>
<span>Mary's ticket number is one less than Jim's ticket number. </span>
<span>J - 1 = M </span>
<span>The product of their numbers is 812 </span>
<span>M * J = 812 </span>
<span>plus first equation into 2nd </span>
<span>(J - 1) J = 812 </span>
<span>J^2 - J - 812 = 0 </span>
<span>(J - 29) (J + 28) = 0 </span>
<span>J = 29 or -28, 29 cuz you can't have negative for question. </span>
<span>J = 29 </span>
<span>plus 29 in first equation, </span>
<span>29 - 1 = M </span>
<span>28 = M </span>
<span>Mary's ticket number is 28 and Jim is 29</span>
Answer:
the probability is 0.311 (31.1%)
Step-by-step explanation:
defining the event L= being late to work :Then knowing that each mode of transportation is equally likely (since we do not know its travel habits) :
P(L)= probability of taking the bicycle * probability of being late if he takes the bicycle + probability of taking the car* probability of being late if he takes the car + probability of taking the bus* probability of being late if he takes the bus +probability of taking the train* probability of being late if he takes the train = 1/4 * 0.75 + 1/4 * 0.43 + 1/4 * 0.15 + 1/4 * 0.05 = 0.345
then we can use the theorem of Bayes for conditional probability. Thus defining the event C= Bob takes the car , we have
P(C/L)= P(C∩L)/P(L) = 1/4 * 0.43 /0.345 = 0.311 (31.1%)
where
P(C∩L)= probability of taking the car and being late
P(C/L)= probability that Bob had taken the car given that he is late
The two numbers are 16 and 42.
Answer: you need to divide the diameter by 2 and plug the values for volume Pi in to the formula for the cylinder next square the radius and multiply the values together then divide by 200.96
Step-by-step explanation:
