The diameter of a circle is 18m. Eugene claims that the circumstances of the circle is 113.04m. What is the circumference of the
1 answer:
Answer:
The circumference is 56.52 m
Step-by-step explanation:
Eugene likely made the mistake of doubling the diameter thinking that it was the radius which gave the answer double the actual one. The equation for finding a circumference is C=D where d is equal to the diameter and c is the circumference. All you do is multiply 18 and 3.14 to get your answer.
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<h3>The probability of student passing the quiz with at least 50% of the questions correct is 0.05457.</h3>
Step-by-step explanation:
Here, the total number of T/F question = 10
The minimum answers needed correctly answered = 8
So, student needs to answer at least 8 questions correctly.
Here, the possibility of answering a question correctly = = p = 0.5
Also, the possibility of answering a question wrong = = q = 0.5
Now, to pass he needs to answer 8 or more ( 8 , 9 or 10) answers correctly.
P(answering 8 correct answer) =
P(answering 9 correct answer) =
P(answering 10 correct answer) =
So, the total Probability = P(8) + P(9) + P(10)
= (0.0439) + (0.0097) + (0.00097)
= 0.05457
Hence, the probability that the student passes the quiz with at least 8 of the questions correct is 0.05457.
Answer:
Kindly check attached picture and explanation
Step-by-step explanation:
A.) The tree diagram is attached in the picture below.
B.) Number less than 3 :
Event A:
A = {1HH, 1HT, 1TT, 1TH, 2H, 2T}
C.)
Event B:
B = {1TT, 3TT, 5TT}
D.)
Event C:
C = {1HT, 1TH, 3HT,3TH,5HT, 5TH}
E.)
A' = Elements not in A = number ≥ 3
A' = {3HH,3HT, 3TT, 3TH, 4H, 4T, 5HH, 5HT, 5TH, 5TT, 6H, 6T}
Question f and G are not well formatted ;
h. Check attached picture
I) i. Are A and B mutually exclusive? Are A and C mutually exclusive? Are B and C mutually exclusive?
A and B are mutually exclusive if AnB = ∅
Check :
AnB = {1TT}
Hence, A and B are not mutually exclusive
A and C
AnC = {1HT, 1TH}
A and C are not mutually exclusive.
B and C
BnC = ∅
B and C are mutually exclusive
