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2 answers:
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Answer:
BC = 18.34°
Step-by-step explanation:
The secant- secant angle BAC is half the difference of the intercepted arcs, that is
( DE - BC) = 27.42
( 73.18 - BC ) = 27.42 ( multiply both sides by 2 )
73.18 - BC = 54.84 ( subtract 73.18 from both sides )
- BC = - 18.34° ( multiply both sides by - 1 )
BC = 18.34°
Answer:
The probability of Thomas inviting Madeline to the party over the phone is 0.143.
Step-by-step explanation:
Consider the tree diagram below.
The events are denoted as follows:
<em>A</em> = Thomas bumps into Madeline at school
<em>B</em> = Thomas call Madeline on the phone
<em>X</em> = Thomas asks Madeline to the party
The information provided is:
P (A) = 0.80
P (B) = 1 - P (A) = 1 - 0.80 = 0.20
P (X|A) = 0.90
⇒ P (X'|A) = 1 - P (X|A) = 1 - 0.90 = 0.10
P (X|B) = 0.60
⇒ P (X'|B) = 1 - P (X|B) = 1 - 0.60 = 0.40
The conditional probability of event <em>U</em> given that another events <em>V</em> has already occurred is:
The law of total probability states that:
In this case we need to determine the probability that Thomas invites Madeline to the party over the phone, i.e. P (B|X).
Use the law of total probability to determine the value of P (X) as follows:
Compute the value of P (B|X) as follows:
Thus, the probability of Thomas inviting Madeline to the party over the phone is 0.143.
97.356 = (ninety) + (seven) + (three tenths) + (five hundredths) + (six thousandths)
