Two 6-sided dice are rolled. What is the probability that the sum of the two numbers on the dice will be greater than 10?

Answers

Answer 1
Answer:

Answer:

1/12 probability

Step-by-step explanation:


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Explain the steps you would take to find the quotient of 1/3 divided 4/3

Answers

Answer: 1/4

Step-by-step explanation: Here, we have 1/3 ÷ 4/3.

Dividing by a fraction is the same

as multiplying by its reciprocal.

In other words, we can change the division sign

to multiplication and flip the second fraction.

So here, 1/3 ÷ 4/3 can be rewritten as 1/3 × 3/4.

Now we're simply multiplying fractions.

Before multiplying however, always try to cross-cancel.

Notice that we can cross-cancel 3 and 3 to 1 and 1.

So we now have 1/1 × 1/4.

Multiplying across the numerators

and denominators, we have 1/4.

Answer:

1/4

Explanation:

1/3 is the dividend while 4/3 is the divisor.

The quotient is the resulting number after the division is made.

1/3 divided by 4/3

Is the same as

1/3 x 3/4

This results in 3/12 which when simplified is 1/4

What time is 5 3/4 hours after 9:22 pm?

Answers

it would be 3:07 in the morning
9:22 PM + 5h = 2:22AM next day

3/4 h = 45min

1h = 60min

60min - 22min = 38min
45min = 38min + 7min

2:22AM + 45min = 2:22AM + 38min + 7min = 3:00AM + 7min = 3:07AM

Answer: 5 3/4h after 9:22PM is 3:07AM next day.

What general direction did Lin walk from the gym to his house, and what type of triangle did his walking path form? Lin walked south, creating a right triangle. Lin walked southwest, creating an obtuse triangle. Lin walked southeast, creating an acute triangle. Lin walked directly east, creating a right triangle.

Answers

Direction are the path on witch something moves.Lin can walk southwest by creating an obtuse triangle to reach his house from the gym. Thus statement 2 is correct.

Direction

Direction are the path on witch something moves.

Check all the statement whether these are correct or not.

  • Statement 1- Lin walked south, creating a right triangle-When someone walked in only one direction then a straight line is made by him over his path. Here lin can not make a right triangle just by walking in one direction. Thus statement 1 is incorrect.
  • Statement 2- Lin walked southwest, creating an obtuse triangle.When someone wants to reach a diagonal direction he can use either the right angle triangle path or the obtuse triangle. Lin can walk southwest by creating an obtuse triangle to reach his house from the gym. Thus statement 2 is correct.
  • Statement 3- Lin walked southeast, creating an acute triangle.Actuate triangle is a triangle in which all three angles are less than the right angles (90 degrees). With walking in actuate triangle one can make Lin can not go in his diagonal direction. Thus statement 3 is incorrect.
  • Statement-4-Lin walked directly east, creating a right triangle.When someone walked in only one direction then a straight line is made by him over his path. Here lin can not make a right triangle just by walking in one direction. Thus statement 4 is incorrect.

Hence, Lin can walk southwest by creating an obtuse triangle to reach his house from the gym. Thus statement 2 is correct.

For more about the triangle, follow the link below-brainly.com/question/1592416

What is the value of x that makes the given equation true? ​2(x−8)=x+5x

Answers

First simplify the right side by combining like terms.

Since both terms contain an x, you can add them together.

So x + 5x simplifies to 6x.

So our equation now reads 2(x - 8) = 6x.

Solving from here, distribute the 2 through the

parentheses on the left side of the equation.

2(x) is 2x and 2(-8) is -16.

So we have 2x - 16 = 6x.

Now move the 2x to the right side by subtracting 2x from both sides.

This gives us -16 = 4x.

Now just divide both sides by 4 to get -4 = x.

Answer:

x = -4

Step-by-step explanation:

To find the value of x that makes a certain equation true means to solve the equation. You do this by rearranging the equation to make x the subject.

So,

2(x-8) = x+5x

2x - 16 = 6x

-16 = 6x-2x

4x = -16

x = -4

Hope this helps.

Find the two geometric means between 20 and 2500

Answers

Answer:

The two geometric means between 20 and 2500 are 100 and 500.

Step-by-step explanation:

First of all we all should know about a geometric progression to solve this question.

A geometric progression is a series in which there is a first term a and all the next terms are calculated by multiplying the previous term by a common number r.

where a is known as first term and

r is known as common ratio.

In the question we are given a as 20 and we have to find out 2 terms after 20 and 4th term is given as 2500.

Formula for n^(th) term in a geometric progression is:

a_(n)  = a* r^(n-1)

Here a_(4) = 2500

As per formula of n^(th) term:

a* r^(3) = 2500\n\Rightarrow 20 * r^(3) =2500\n\Rightarrow r^(3) = 125\n\Rightarrow r = 5

Now, 2nd term:

a_(2) = a * r\n\Rightarrow a_(2) = 20 * 5\n\Rightarrow a_(2) = 100

Now, 3rd term:

a_(3) = a * r^(2) \n\Rightarrow a_(3) = 20 * 5^(2)\n\Rightarrow a_(3) = 500

So, the two geometric means between 20 and 2500 are 100 and 500.

A triangle T is bounded (on three sides) by the lines x = 6, y = 0, and y = 3 2 x. A rectangle of width w is inscribed inside T. Find the area of this rectangle.

Answers

Answer:

33.85 units^2

Step-by-step explanation:

you must first draw the triangle on the plane using the equations (see

attached file), you will have a right angle triangle with a height of 192 and a base of 6.

then you calculate the angle with the tangent function = 88.21

Then you use the small triangle to find the value of a (see attached file).

Finally, you propose an equation for X to find one of the sides of the triangle, once you have x squared it, and you already have the area,

i attached procedure