The inequality that describes this graph of the number line is x ≥ 4
<h3>How to determine the inequality that describes this graph?</h3>
From the question, we have the following properties:
- The graph is a number line
- The number line extends at both ends
- The number line starts from less than -5 and ends at greater than 5
- There is a heavy arrow that extends from a circle over positive 4 to the right.
The property 3 above implies that the domain of the number line is the set of all real numbers.
The property 4 above implies that the inequality of the number line is a greater than or equal to inequality, and the value starts from 4
This is represented by the following inequality
x ≥ 4
Hence, the inequality that describes this graph of the number line is x ≥ 4
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The variance of a distribution is the square of the standard deviation
The variance of the data is 2.2
<h3>How to calculate the variance</h3>
Start by calculating the expected value using:
So, we have:
This gives
Next, calculate E(x^2) using:
So, we have:
The variance is then calculated as:
So, we have:
Approximate
Hence, the variance of the data is 2.2
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Answer:
The final position is 5 feet below the back of the truck
Step-by-step explanation:
* Lets explain how to solve the problem
- A crane lifts a pallet of concrete blocks 8 feet from the back of
a truck
- The crane lowers the pallet 13 feet after the truck drives away
- Assume that the zero level of the position of the ballet of concrete
blocks is the back of the truck
∵ The crane lifts the pallet of concrete blocks 8 feet from the back
of the truck
- That means it take the pallet from zero to 8
∴ The height of the pallet of concrete blocks is 8 feet over
the starting position
∵ The crane lowers the pallet of concrete blocks 13 feet
- That means the crane lower the pallet from the height 8 and
lift it down 13 feet, so we must to take out from the 8 feet the
13 feet to find the final position of the pallet of concrete blocks
∴ The pallet position is ⇒ 8 - 13 = -5
∴ The position of the pallet of concrete blocks is 5 feet below the
starting position which is the back of the truck
* The final position is 5 feet below the back of the truck
Answer:
≈3.99938
Step-by-step explanation:
Please present the relationship in a table arranged vertically:
<span>this relationship. X= 0, 2, 4, 6, Y= 0, 8.4, 16.8, 25.2 becomes:
</span><span> x y
--- -----
0 0
2 8.4
4 16.8
6 25.2
Notice that as x increases by 2 units from 2 to 4, y increases by 8.4 units to 16.8. Thus, the slope of this line is
16.8
m = -------- = 8.4
4-2
Your problem statement sounds incomplete; what were you asked to do here?
You could compare the equations of the 2 functions:
y = 4.2x and
y = 8.4x
The slope of the 2nd function is twice that of the first function. Both graphs go through the origin, (0,0).</span>
