Complete the following proof.
1 answer:
Answer:
A tangent to a circle is a line intersecting the circle at exactly one point which is called point of tangency or tangency point. Also, radius from the center of the circle to the point of tangency is always perpendicular to the tangent line.
Here, O is the center of the circle and B is the point on the circumference of the circle,
⇒ OB is the radius of the given circle,
Also, BD is the tangent line for which B is the tangency point,
⇒ OB ⊥ BD ⇒ AB ⊥ BD ( Because, AOB is a straight line )
Similarly,
AB ⊥ AC
Since, if two lines are perpendicular to the same line then they are parallel to each other,
⇒ AC ║ BD
Hence, proved.
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Complete Question
Suppose the weight of Chipotle burritos follows a normal distribution with mean of 450 grams, and variance of 100 grams2 . Define a random variable to be the weight of a randomly chosen burrito.
(a) What is the probability that a Chipotle burrito weighs less than 445 grams? (3 points)
(b) 20% of Chipotle burritos weigh more than what weight
Answer:
a
b
Step-by-step explanation:
From question we are told that
The population mean is
The variance is
The consider weight is
The standard deviation is mathematically represented as
substituting values
Given that weight of Chipotle burritos follows a normal distribution the the probability that a Chipotle burrito weighs less than x grams is mathematically represented as
Where is equal to z (the standardized values of the random number X )
So
substituting values
Now from the normal distribution table the value for is
=>
Let the probability of the Chipotle burritos weighting more that k be 20% so
=>
=>
From the normal distribution table the value of z for is
=>
=>