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In-s [12.5K]
3 years ago
14

You roll a 6 sided die. find the probability of the event that you roll a number less that 4

SAT
1 answer:
vlabodo [156]3 years ago
5 0
<h3>Answer:  1/2</h3>

Explanation:

The list of items we want to land on are {1,2,3} which are all less than 4. There are A = 3 items in this set.

The list of possible outcomes are {1,2,3,4,5,6}. There are B = 6 total outcomes.

Divide the values of A and B to get A/B = 3/6 = 1/2.

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¿cuál de los siguientes valores de funciones es negativo? a. Sen 120° b. Sen 150° c. Cos 235° d. Cos 300°.
NeTakaya

An X-axis and Y-axis rectangular coorganizing system splits the plane in to the four regions recognised as the quadrants. The cross point is indeed the source of the two axes and is made reference to as O. So, the calculation can be defined as follows:

Given:

\bold{a)\ \sin 120^{\circ}}\\\\\bold{b)\ \sin 150^{\circ}}\\\\\bold{c)\ \cos 235^{\circ}}\\\\\bold{d)\ \cos 300^{\circ}}\\\\

To find:

Find negative function values =?

Solution:

\therefore \\\\\to \bold{\sin (180- \theta)= \sin \theta} \\\\\to \bold{\cos (180- \theta)= -\cos \theta} \\\\\to \bold{\cos (180+ \theta)= -\cos \theta} \\\\ \to \bold{\cos (360- \theta)= \cos \theta}

Solve value for a:

\to \bold{\sin 120^{\circ}= \sin(180-60)}

                  \bold{=\sin 60^{\circ}}\\\\\bold{=\frac{\sqrt{3}}{2}}\\\\

Solve value for b:

\to \bold{\sin 150^{\circ}= \sin(180-30)}

                  \bold{=\sin 30^{\circ}}\\\\\bold{=\frac{1}{2}}\\\\

Solve value for c:

\to \bold{\cos 235^{\circ}=-\cos( 180+55)}

                  \bold{=- \cos 55^{\circ}}\\\\\bold{= -0.57357643635}}\\\\

Solve value for d:

\to \bold{\cos 300^{\circ}= \cos(360-60)}

                  \bold{= \cos 60^{\circ}}\\\\\bold{= \frac{1}{2}}\\\\

Therefore the final answer is "Option C".

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