The circle below has center Z. Suppose that m XY = 122°. Find the following.
1 answer:
Answer:
m∠XZY = 122°
m∠XWY = 61°
Step-by-step explanation:
From the picture attached,
A circle has been given with center as Z.
∠XZY is a central angles subtended by the arc XY,
Therefore, measure of angle XZY will be equal to measure of ∠XZY.
m(∠XZY) = m(arc XY) = 122°
By another property of the circle,
"Inscribed angle measures the half of the central angle intercepted by the same arc."
Therefore, m∠XWY =
=
= 61°
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The chances that the student was merely guessing is 1/3.
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denoted by
let A be the event that the student knows the answer .
B be the event that the student does not knows the answer .
and
E be the event he gets answer correct .
According to the given question
Probability that the answer is correct ,given that he knows the answer is
Probability that the answer is correct ,given that he guesses it is
[as the MCQ has 3 options and only one is correct]
We need to find the probability that he guesses the answer given that it is correct.
Required probability
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Therefore , the chances that the student was merely guessing is 1/3.
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