Please answer with work shown (only if possible)
1 answer:
Answer:
103.2 km
Step-by-step explanation:
Hi there!
<u>1) Draw a diagram</u>
Please see the picture below.
<u>2) Solve for the length of the diagonal</u>
Because Jacob's path creates a right triangle, we can use the Pythagorean theorem: where c is the side opposite the right angle and a and b are the other sides
Plug in the known information
Take the square root of both sides to isolate c
I hope this helps!
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Answer:
15.7
Step-by-step explanation:
d = 2r
d = 8 thus r = 4
area (kelly) = 4 x4 x = 16
area (paige) = 3 x 3 x = 9
difference = 16 - 9
= 5
= 15.7
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.