Answer:
They are congruent
Step-by-step explanation:
They both have the sides with 15 and 12, and if you rotate it a bit it will look exactly the same.
Answer:
16,734.06 ft2
Step-by-step explanation:
A = 2pir
A = 2 x pi x 73
A = 16741.5 ft2
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The quotient of 14/2 is 7
7*15 is
105
Hope it helps!
Answer:
probability that the student knew the answer given that he answered the question correctly is 0.7742 (77.42%)
Step-by-step explanation:
a student can get the question right in 3 ways:
- knowing the answer with probability 0.5
- eliminating one of the 4 choices and guessing with the remaining 3 with probability 0.25
- or guessing from the 4 choices with probability 0.25
then defining the event R= getting the answer right , we have
P(R)= probability of knowing the answer*probability of getting the question right if knowing the answer + probability of eliminating one answer* probability of getting the question right if eliminates one answer + probability of guessing the 4 choices * probability of getting the question right if guessing the 4 choices
thus
P(R)= 0.5*1 + 0.25* 1/3 + 0.25*1/4 = 0.6458
then we use conditional probability through the theorem of Bayes. Defining K= student knew the answer
then
P(K/R) = P(K∩R) /P(R) = 0.5*1/0.6458 = 0.7742 (77.42%)
where
P(K∩R) = probability that the student knew the answer and answers the question correctly
P(K/R)= probability that the student knew the answer given that he answered the question correctly