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3 of the digits 0-9 are chosen randomly by a computer what is the probability that it will choose 3 sequential digits?

Sindrei [870]

Answer:

B. 1/15

Step-by-step explanation:

The number of ways in which we can select x elements from a group of n elements is calculated as:

$nCx=\frac{n!}{x!(n-x)!}$

So, the number of ways in which a computer can select 3 digits is calculated as:

$10C3=\frac{10!}{3!(10-3)!}=120$

Because there are 10 digits from 0 to 9.

Then, from that 120 options there are 8 that have 3 sequential digits. These options are:

{0,1,2} {1,2,3} {2,3,4} {3,4,5} {4,5,6} {5,6,7} {6,7,8} {7,8,9}

So, the probability that it will choose 3 sequential digits is equal to:

$P=\frac{8}{120}=\frac{1}{15}$

7 0

3 years ago

Six times a number is greater than 20 more than that number. What are the possible values of that number?

miskamm [114]

Answer:search up

Step-by-step explanation:

3 0

3 years ago

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A cubicle is 6 1⁄2 feet by 8 3⁄4 feet. What is the area of the cubicle?

Tanzania [10]

Area of a rectangle is defined by A = lw
For us: l = 6.5 and w = 8.75

Or, A = 6.5ft(8.75ft) = 56.875ft²

3 0

3 years ago

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Help help help help help

shusha [124]

Cone volume = pi x radius^2 x height / 3
392.5 = pi x radius^2 x 15 / 3
1177.5 = pi x radius^2 x 15
78.5 = pi x radius^2
24.99 = radius^2
radius = 4.999
Diameter = 9.998

3 0

3 years ago

the perimeters of a rectangle and an equilateral triangle are equal. what is the equation for this scenario?rectangle’s perimete

djyliett [7]

The total length of a boundary defines the perimeter of an equilateral triangle.

<h3>What is the Perimeter of an Equilateral Triangle?</h3>

The total of the three sides makes up the perimeter of an equilateral triangle.
The following fundamental characteristics define a triangle as being equilateral:

The three sides are equal.
There is a 60° angle between all three.

The sides of the triangle PQ = QR = RP in the following illustration have equal lengths.
The triangle's angles are also equal in addition to this. An equilateral triangle is what this is.
An equilateral triangle's perimeter is now equal to 3a, where a denotes one of the triangle's sides.

Perimeter of Equilateral Triangle Formula : P = 3a, where 'a' stands for one of the triangle's sides, is a simple formula for calculating an equilateral triangle's perimeter. An equilateral triangle has three equal sides, hence the sum is equal to three equal sides, or 3a.

Additional equilateral triangle formulas include the following: When we need to determine a triangle's height from its sides, we can apply the following formula: Equilateral Triangle Height = (3a)/2

The semi-perimeter of an equilateral triangle must be determined in a few situations. Half of a perimeter, or semi-perimeter, is equal to 3a/2, which is derived using the formula semi-perimeter = (a + a + a)/2.

To Learn more About equilateral triangle refer to:

brainly.com/question/15294703

#SPJ4

3 0

1 year ago

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