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scoray [572]
3 years ago
13

A six-sided die is rolled. What is the probability of landing on a number less than 3? Put our answer in simplest form.

Mathematics
2 answers:
V125BC [204]3 years ago
8 0

Answer:

1/3

Step-by-step explanation:

2/6

1/3

julsineya [31]3 years ago
5 0

Answer:

Probability of any one face to turn up is 1/6,

The probability of any above 3 is 3/6,

The probability of even number is also 3/6

So the probability of either above three or even outcome is 1/6(3/6 + 3/6)=1/6, since both events are independent of the any face event and both events are mutually exclusive.

NB:If the two events are not mutually exclusive, then

P(A) is the total event, P(B) the probability of any face above 3 and P(C) probability of any face an even number, then the Bayesian prediction formula is P(B|C) the probability of the event B occuring while C occurs is equal to (PC|P(B))/(P(B)+P(C), where P(C|B) is probability of C occuring at B.

So P(B|C)=(1/3 * 1/3)/(1/3 + 1/3) =(1/9)/(2/3) = 3/18= 1/6.

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TEA [102]

Answer:

6^3=6×6×6=216. So, the answer is 6x6x6 and 216.

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On the first day of travel, a driver was going at a speed of 40 mph. The next day, he increased the speed to 60 mph. If he drove
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Let t become the time he spent commuting on the first day of his vacation.

It is then calculated as t + 2.

\to 40\times(t+2) = 60(t) + 20 \\\\\to 40t+80 = 60t + 20 \\\\\to 80-20 = 60t + 40t \\\\\to 60 = 20t  \\\\\to t=\frac{60}{20} \\\\\to t=\frac{6}{2} \\\\\to t= 3\\\\

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A tuning fork is struck and oscillates in damped harmonic motion. The amplitude of the motion is measured, and 3 s later it is f
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Answer:

C=0.46 s⁻¹

Step-by-step explanation:

The general equation for the damped harmonic system given as

y=Xe^{-Ct}sin\omega t

Where

A= Amplitude

A=Xe^{-Ct}

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Lets take at time t= t₁,  A= K

And at time t= t₁+3 s ,A= K/4

A=Xe^{-Ct}

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\dfrac{K}{4}=Ke^{-C(t_1+3)}                    -------------2

From equation 1 and 2

Xe^{-Ct_1}=Ke^{-C(t_1+3)}

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