Find the exact length of ADC. In your final answer, include all of your calculations
1 answer:
Answer:
The exact length of is 15·π m
Step-by-step explanation:
In the question, we are given;
The radius of the circle with center P, PD, r = 9 m
The measure of m∠APB = 120°
The measure of m∠APC = 60°
The circumference of the circle, C = 2·π·r
∴C = 2 × π × 9 m = 18·π m
= 60°/360° × C = (1/6) × C
∴ = (1/6) × 18·π m = 3·π m
= C -
∴ = 18·π m - 3·π m = 15·π m
= 15·π m ≈ 47.124 m
Therefore, the exact length of = 15·π m
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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.