Answer:
A= 81.6714
Step-by-step explanation:
A=πr^2
A=3.14x5.1x5.1
A= 81.6714
hope this helps ^^
Answer:
x is greater than or equal to 7
Step-by-step explanation:
(line under alligator)
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
To find the last angle, add the 90 degree angle and 65 degree angle.(155)
Since a triangle has a total of 180 degrees, subtract 155 from 180 to get the third angle.(25 degrees)
To find the last side, use the pythagorean theorem(a^2 + b^2 = c^2)
a^2 + 77^2 = 85^2
solve, and you'll get the last side
