Answer:
1) x ≤ -2;
2) x > 2;
3) x - 2 < 0
4) 2 ≤ x;
5)-2 < x;
Step-by-step explanation:
≤ means equal to or smaller than;
≥ means equal to or greater than;
< means smaller than;
> means greater than;
In addition, ≤ and ≥ are closed dots in the intervals. < and > are open dots in the intervals.
1) x ≤ -2; By looking at the intervals, the dot is -2, and the arrow is going to the left sides, -4, that the numbers were in a range of smaller than -2. And also because it's a closed dot, it means equal to or smaller than.
2) x > 2; The number starts in 2 with an open dot, and goes to 4, which means x in a range that greater than 2 but not equal to.
3) x - 2 < 0, we get x < 2, by plus 2 in both sides. The number starts in 2 with an open dot and goes to -4, which means x becomes smaller than 2 but not equal to.
4) 2 ≤ x; The number starts in 2 with a closed dot and goes to 4, the x is places in a number range that is equal to or greater than 2.
5)-2 < x; The number starts in -2 with an open dot and goes to 4, which means x becomes bigger than -2 but not equal to.
For the given graph , slope of the line is equal to ( 1 / 2 ).
As given in the question,
Form the given graph,
Scale is given by,
On x-axis each unit of the graph represent 1 unit.
On y- axis each unit of the graph represent 1 unit.
Consider two coordinates from the line of the graph,
( x₁ , y₁ ) = ( 1, 2 )
( x₂ , y₂ ) = ( 3, 3 )
Slope of the line = ( y₂ - y₁ ) / ( x₂ - x₁ )
Substitute the value in the formula of the slope we get,
Slope of the line = ( 3 - 2 ) / ( 3 - 1 )
⇒ Slope of the line = 1 / 2
Therefore, for the given graph , slope of the line is equal to ( 1 / 2 ).
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The circumference of the outer circle is greater than that of the inner circle by 18.86 feet.
<h3>What is Circle?</h3>
A circle is a round 2-dimensional shape. It is a closed shape with a distance from center to circumference termed as radius 'r' and distance from one point on the circumference to another point passing through center termed as diameter 'd'.
The circumference of the inner circle is 88 ft.
Circumference of a Circle = 2πr
2πr = 88
2 X 22/7 X r = 88
r = 88 X 7 / 44
r = 14 ft.
Radius of the inner circle = 14 feet
If the distance between the inner circle and the outer circle is 3 ft, the radius of the outer circle = 14+3 = 17 feet.
circumference of the outer Circle = 2πr
= 2 X 22/7 X 17
= 106.86 ft.
Difference in Circumference = 106.86 - 88 = 18.86 feet
Thus, the circumference of the outer circle is greater than that of the inner circle by 18.86 feet.
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Answer:
A sample size of at least 737 specimens is required.
Step-by-step explanation:
We have that to find our 
level, that is the subtraction of 1 by the confidence interval divided by 2. So:
Now, we have to find z in the Ztable as such z has a pvalue of 
.
So it is z with a pvalue of 
, so 
Now, find the width M as such
In which 
is the standard deviation of the population and n is the size of the sample.
In this problem, we have that:
So:
A sample size of at least 737 specimens is required.
