All categories

3 years ago

You roll a fair 6 sided die. what is p (roll less than 4)

Mathematics

1 answer:

Darina [25.2K]3 years ago

3 0

Answer:

1/2

Step-by-step explanation:

Since this die has 6 sides, for each roll it has 6 outcomes.

Hence the probability of it landing on any specific number is 1/6.

Since there are only 3 outcomes wanted (roll less than 4 so it can be 1, 2, or 3) then we have to add the probability of each number being rolled so that is:

1/6 chance of rolling1

1/6 chance of rolling2

1/6 chance of rolling3

1/6 + 1/6 + 1/6

=3/6

=1/2

You might be interested in

For what values of x and y must the figure have in order to be parallelogram?

Oduvanchick [21]

Answer:

y = 10°

x = 64°

Step-by-step explanation:

Parallelogram is a quadrilateral with the opposite sides parallel to each other. Opposite sides are equal in length. Opposite angles are equal in a parallelogram.

For the figure to be a parallelograms, since opposite angle are equal

12y + 8 = 2x

2x - 12y = 8 ...................(i)

2x + 5y + 2 = 180(supplementary angle)

2x + 5y = 178..............(ii)

combine the equation

2x - 12y = 8 ...................(i)

2x + 5y = 178..............(ii)

make x subject of the formula in equation (i)

2x - 12y = 8 ...................(i)

2x = 8 + 12y

x = 4 + 6y

put the value of x in equation (ii)

2x + 5y = 178..............(ii)

2(4 + 6y) + 5y = 178

8 + 12y + 5y = 178

8 + 17y = 178

17y = 170

divide both sides by 17

y = 170/17

y = 10°

Put the value of y in equation (i)

2x - 12y = 8 ...................(i)

2x - 12(10) = 8

2x - 120 = 8

2x = 128

x = 128/2

x = 64°

7 0

3 years ago

Solve.E6xplain how you get the answer without using a calculator 6/3 + 1/2

fiasKO [112]

I'm just gonna assume that 6/3 and 1/2 are fractions.

First you have to find common denominators for the fractions to be added.

The first common denominator divisible by both the denominators is 6.

So 2x3=6 and 1x3=3

and 3x2+6 and 6x2+12

so that would be 12/6 + 3/6

Then you would proceed to add both of the numerators together which are 12 and 3.

To get a total of 15/6. You can also simplify that into a mixed number 2 1/2.

4 0

3 years ago

Right triangle ABC is similar to triangle XYZ. If the length of side AB is 20.8 units, the length of side BC is 36.4 units, and

trasher [3.6K]

Answer:

XY is 4 units.

Step-by-step explanation:

We are given the following in the question:

Right triangle ABC is similar to triangle XYZ.

AB = 20.8 units

BC = 36.4 units

YZ = 7 units

We have to find the length of side XY.

Since the given triangles are similar, they have the following property:

The ratio of corresponding sides of similar triangles are equal.

We can write,

$\displaystyle\frac{AB}{XY}=\frac{BC}{YZ}=\frac{AC}{XZ}$

Putting the given values, we have,

$\displaystyle\frac{AB}{XY}=\frac{BC}{YZ}\\\\\frac{20.8}{XY}=\frac{36.4}{7}\\\\XY = \frac{20.8\times 7}{36.4} =4 \text{ units}$

Thus, the length of XY is 4 units.

8 0

3 years ago

The graph of which function has an axis of symmetry at x=3?

iragen [17]

Answer:

A graph that has an axis of symmetry at x = 3 would be x^2 -6x + 12

Step-by-step explanation:

In order to find a graph that has an axis of symmetry at 3, use the equation for the axis of symmetry of a quadratic.

x = -b/2a

In this equation, a is the coefficient of x^2 and b is the coefficient of x. So, if we use 3 as x and we choose a random number to be a (1), we can solve for the b.

3 = -b/2(1)

3 = -b/2

6 = -b

b = -6

Now that we have this, we can put those two numbers as coefficients. The constant at the end can be anything.

5 0

3 years ago

Read 2 more answers

Just to make sure, does this make sense?

Bogdan [553]

Answer:

It makes sense to me but I don't know if anyone else agrees

Step-by-step explanation:

4 0

2 years ago