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3 years ago

If you roll two fair six sided dice why is the probability that the sum is 5 or lower

Mathematics

1 answer:

Radda [10]3 years ago

3 0

Answer:

Of the 36 equally probable outcomes, 10 are less than or equal to 5, so the probability is<u> 10/36 = 5/18.</u>

Step-by-step explanation:

Of the 36 equally probable outcomes, 10 are less than or equal to 5, so the probability is 10/36 = 5/18.

If you want you can also use algebra:

Let R1 and R2 be discrete uniform random variables representing the outcomes of each of the two dice, and let S = R1 + R2 be the sum.

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Answer:

Step-by-step explanation:

substitute the given values for x and y into the expression

4x² + 2y

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3 years ago

Triangle ABC has vertices at A(-5, 4), B(4, 1), and C(1, -8). Choose the terms below which correctly describe this triangle:

Anton [14]

Answer:

An ISOSCELES TRIANGLE

Step-by-step explanation:

Given a triangle ABC with vertices at A(-5, 4), B(4, 1), and C(1, -8), to know the type of triangle this is, we need to find the three sides of the triangles by taking the distance between the points.

Distance between two points is expressed as:

D = √(x2-x1)²+(y2-y1)²

For side |AB|:

A(-5, 4) and B(4, 1)

|AB| = √(4-(-5))²+(1-4)²

|AB| = √9²+3²

|AB| = √90

For side |BC|

B(4, 1), and C(1, -8)

|BC| =√(1-4)²+(-8-1)²

|BC| = √3²+9²

|BC| = √90

For side |AC|:

A(-5, 4) and C(1, -8).

|AC| = √(1-(-5))²+(-8-4)²

|AC| = √6²+12²

|AC| = √36+144

|AC| = √180

Based on the distances, it is seen that side AB and BC are equal which shows that two sides of the triangle are equal. A triangle that has two of its sides to be equal is known as an ISOSCELES TRIANGLE. Therefore the term that correctly describes the triangle is an isosceles triangle.

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3 years ago