Step-by-step explanation:
It is given that,
The distance that Scott walks is a function of the time he spends walking. Scott can walk 1 half mile every 8 minutes.
Let y is the distance (in miles) and x is time (in minutes).
The attached graph predicts the shape of the function. Hence, this is the required solution.
The probability distribution for the face landing down = 4/15
<h3>What is the probability?</h3>The area of mathematics known as probability deals with numerical descriptions of how likely it is for an event to happen or for a claim to be true. A number between 0 and 1 is the probability of an event, where, broadly speaking, 0 denotes the event's impossibility and 1 denotes its certainty.
<h3>According to the given information:</h3>If we assign 1 probability x
then 2 has probability 1/2 x.
Similarly,
then 3 has probability = 1/2((1/2)*x) = (1/4)*x
so
then 4 has probability = 1/2((1/4)*x) = (1/8)*x
These probabilities need to sum to 1.
Hence:
or equivalently
(15/8)*x = 1
x = 8/15
the probability distribution for the face landing down = (1/2)*(8/15)
= 8/30
= 4/15
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I understand that the question you are looking for is:
A tetrahedral die has four faces, numbered 1-4. If the die is weighted in such a way that each number is twice as likely to land facing down as the next number (1 twice as likely as 2, 2 twice as likely as 3, and so on) what is the probability distribution for the face landing down?
Answer:
∠ A ≈ 48°
Step-by-step explanation:
Using the Cosine rule to find an angle
cosA =
with a = 10, b = 13 and c = 11
cosA =
=
= , thus
A = (
) ≈ 48° ( to the nearest degree )