Answer:
.0625 or A
Step-by-step explanation:
You have to work out the mean. (The simple average of those numbers) Then for each number subtract the Mean and square the result. Then work out the average of those squared differences.
Remember that to tell if a function is linear for a table, you should look for a constant rate of change, and the only function that has a constant rate of change is the first one.

is increasing by 1, and

is increasing by 0.5.
Now that we know that, lets find the equation of our table.
First, lets take tow points from our table: (1,

) and

.
Next, use the slope formula:
We know for our points that

,

,

, and

, so lets replace those point in our formula to find

:


Finally, we can use the point slope formula

to find our equation:



We can conclude that the first table represents a linear function, and its equation is
Answer: False, there are actually 900 different three-digit numbers
========================================================
Explanation:
The three digit numbers span from 100 to 999, including both endpoints.
This means we have 999-100+1 = 900 different three-digit numbers.
You subtract the endpoints (large-small) and add 1 to include the lower endpoint.
Here's a smaller example of why this works: say you had the set {1,2,3,4} and we wanted to count the number of items in this set. Clearly there are 4 items. Note how subtracting the endpoints 4-1 gets us 3 instead, so we add on 1 to include that left endpoint.
We are asked to solve for the volume of the composite figures and the answer is the summation of the two volumes such as the volume of a triangular prism and volume of a rectangular prism. In order to solve this, we need to recall the following formulas:
the volume of triangular prism = 1/2* b*h*l and solving the volume, we have it:
the volume of triangular prism = 1/2 * 15* 16*20 = 3600 units³
the volume of rectangular prism = l*w*h and solving the volume, we have it:
the volume of rectangular prism = 20*15*12 = 2400 units³
The total volume of the composite figure is the summation of the two volumes such as:
total volume = 3600 + 2400
total volume = 6000 units²
The answer is 6,000 units².
Answer:

Step-by-step explanation:
First of all we need to know when does two events become independent:
For the two events to be independent,
that is if condition on one does not effect the probability of other event.
Here, in our case the only option that satisfies the condition for the events to be independent is
. Rest are not in accordance with the definition of independent events.