Answer:
9300.75
Step-by-step explanation:
9000 + 300 + 100 * 6 / 800
According to Order Of Operations, we multiply and divide first.
9000 + 300 + 600 / 800
Divide.
9000 + 300 + 0.75
Add.
9300 + 0.75
Add.
9300.75.
Question:
A number cube with faces labeled from 1 to 6 will be rolled once. The number rolled will be recorded as the outcome.
Give the sample space describing all possible outcomes. Then give all of the outcomes for the event of rolling a number greater than 2.
If there is more than one element in the set, separate them with commas.
Answer:


Step-by-step explanation:
Given
A roll of a 6 sided number cube
Solving (a): The sample space
This implies that we list out all number on the number cube.
So:

Solving (b): Outcomes greater than 2
This implies that we list out all number on the number cube greater than 2 i.e. 3 to 6.
So:

With the properties of rectangle in mind we must perform two verification. Verify to see if opposite sides are parallel and adjacent sides are perpendicular.
We need to determine the slope of each side, using the formula,

<u>Slope of AB</u>




<u>Slope of BC</u>



<u>Slope of CD</u>




<u>Slope of AD</u>



<u>Verify Parallel sides</u>
If the quadrilateral is a rectangle, then opposite sides should have the same slope. But


<u>Verify Perpendicularity</u>
And also the product of slopes of all sides with a common vertex should be -1. But




Since the quadrilateral fails to satisfy all these conditions, the quadrilateral is not a rectangle