A fair number cube is rolled what is the probability that a number greater then 4 is rolled

The value one unit of the bar model is 12

Step-by-step explanation:

The bar is divided into 8 units in the diagram (not available in this question)

We need to find the value of each unit

If x is value of 1 bar,

8x = 96

x = 96/8

So, x = 12

Hence the value one unit of the bar model is 12

Answer:

  d.  5.454 x 10^7 square kilometers

Step-by-step explanation:

Adding 4.46×10^7 to 0.994×10^7 we get 5.454×10^7.

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Before you can add numbers in scientific notation, they must both have the same multiplier. Here, we can see that the area of Asia will be written with an exponent of 7, so we choose to write both numbers that way.

  44,600,000 = 4.4×10,000,000 = 4.4×10^7

  9.94×10^6 = (0.994×10)×10^6 = 0.994×10^7

The sum is (4.400 +0.994)×10^7 = 5.454×10^7.

Combined area is 5.454 × 10^7 km²

Step-by-step explanation:

• Step 1: Find the combined area of Asia and Europe.

Area of Asia = 44,600,000 km²

Area of Europe = 9,943,106 km²

⇒ Combined Area = 44,600,000 + 9,943,106

                               = 54,543,106 km²

• Step 2: Convert to one significant figure.

54,543,106 = 5.454 × 10^7 km² (Dividing and multiplying by 10^7)

At x = -2, the graphs of equations 2x - y = 6 and 5x + 10y = -10 intersect at the point (-2,-2).

What is a graph?

A graph is a visual representation that shows the relationships between two or more items or values. It typically involves plotting points and connecting them to form a diagram.

To find the point of intersection of the graphs of equations 2x - y = 6 (i) and 5x + 10y = -10  (ii), we can follow these steps:

List out the points that satisfy each equation:

For equation (i):

• When x=6, we have 2(6) - y = 6, which gives us y = 6. So point (6,6) lies on the graph of equation (i).

• When x=0, we have 2(0) - y = 6, which gives us y = -6. So the point (0,-6) lies on the graph of equation (i).

• When x=3, we have 2(3) - y = 6, which gives us y = 0. So point (3,0) lies on the graph of equation (i).

For equation (ii):

• When x=0, we have 5(0) + 10y = -10, which gives us y = -1. So the point (0,-1) lies on the graph of equation (ii).

• When x=2, we have 5(2) + 10y = -10, which gives us y = 0. So point (2,0) lies on the graph of equation (ii).

• When x=4, we have 5(4) + 10y = -10, which gives us y = 1. So point (4,1) lies on the graph of equation (ii).

Plot the points on a graph and join them to get the graph of each equation.

Identify the point(s) of the intersection of the two graphs. From the graph, we see that the two graphs intersect at the point (-2,-2).

Therefore, we can conclude that at x = -2, the graphs of equations 2x - y = 6 and 5x + 10y = -10 intersect at the point (-2,-2).

Learn more about intersecting points of graphs here:

brainly.com/question/1441859

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Answer:

The solution to the equation is: (x,y) = (2,-2) If that helps

Step-by-step explanation:

// Solve equation [1] for the variable  y  

 [1]    y = 2x - 6

// Plug this in for variable  y  in equation [2]

  [2]    5x + 10•(2x-6) = -10

  [2]    25x = 50

// Solve equation [2] for the variable  x  

  [2]    25x = 50  

  [2]    x = 2  

// By now we know this much :

   x = 2

   y = 2x-6

// Use the  x  value to solve for  y  

   y = 2(2)-6 = -2  

Solution :

{x,y} = {2,-2}