The angle at the center of the circle is twice the angle at the circumference.
<h3>What is Circle Theorem?</h3>
The angle in a semicircle is a right angle. Angles that are in the same segment are equal.
As by theorem,
angle in a semicircle is a right angle. Angles that are in the same segment are equal.
Also, opposite angle in a cyclic quadrilateral sums to 180° and the angle between the chord and tangent is also equal to the angle in the alternate segment.
Learn more about circles here:
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Answer:
Therefore, the probability that at least half of them need to wait more than 10 minutes is <em>0.0031</em>.
Step-by-step explanation:
The formula for the probability of an exponential distribution is:
P(x < b) = 1 - e^(b/3)
Using the complement rule, we can determine the probability of a customer having to wait more than 10 minutes, by:
p = P(x > 10)
= 1 - P(x < 10)
= 1 - (1 - e^(-10/10) )
= e⁻¹
= 0.3679
The z-score is the difference in sample size and the population mean, divided by the standard deviation:
z = (p' - p) / √[p(1 - p) / n]
= (0.5 - 0.3679) / √[0.3679(1 - 0.3679) / 100)]
= 2.7393
Therefore, using the probability table, you find that the corresponding probability is:
P(p' ≥ 0.5) = P(z > 2.7393)
<em>P(p' ≥ 0.5) = 0.0031</em>
<em></em>
Therefore, the probability that at least half of them need to wait more than 10 minutes is <em>0.0031</em>.
Answer:
125/1000 and no hes not correct
Step-by-step explanation:
