the question says that the samples included 100 people each, so it's just 100 multiplied by the amount of samples:
7×100=700
Answer:
Inequalities are,
y ≥ 4x + 2
y ≥ 2
Step-by-step explanation:
Solid yellow line of the graph attached passes through two points (0, -2) and (1, 2).
Let the equation of this line is,
y = mx + b
Slope of the line =
m =
m = 4
Y-intercept 'b' = -2
Equation of the line will be,
y = 4x - 2
Since shaded area is on the left side of this solid line so the inequality representing this region will be,
y ≥ 4x - 2
Another line is a solid blue line parallel to the x-axis.
Shaded region (blue) above the line will be represented by,
y ≥ 2
Therefore, the common shaded area of these inequalities will be the solution of the given inequalities.
The surface area of the cylinder is 18.84 square feet
<h3>How to determine the surface area?</h3>
The given parameters are
Height, h = 2 ft
Diameter, d = 2 ft
The radius (r) is half of the diameter (d)
This is calculated as:
Radius = Diameter/2
So, we have:
r = d/2
Substitute 2 for d
r = 2/2
Evaluate the quotient i.e. divide 2 by 1
r = 1
The surface area is then calculated using the following formula
A = 2πr² + 2πrh
Substitute the given values in the above equation
So, we have:
A = 2 * 3.14 * 1^2 + 2 * 3.14 * 1 * 2
Evaluate the exponents
A = 2 * 3.14 * 1 + 2 * 3.14 * 1 * 2
Evaluate the products
A = 6.28 + 12.56
Evaluate the sum
A = 18.84
Hence, the surface area of the cylinder with the given height and radius is 18.84 square feet
Read more about surface area at:
brainly.com/question/2835293
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Answer: B. $430.80
Step-by-step explanation:
Given : Last year Baron Enterprises had $800 million of sales.
It had $270 million of fixed assets that were used at 65% (=0.65) of capacity last year.
Now, the used asset = million
Now, Baron Enterprises had $800 million of sales in $175.5 million of assets , if we use all of $270 million of fixed assets , then the sales will be :-
Now, the increase in Baron's sales before it is required to increase its fixed assets =
Hence, the increase in Baron's ( in million ) sales before it is required to increase its fixed assets = $430.80
<h2>
Length of track is 168 meter</h2>
Step-by-step explanation:
Let l be the length of track.
Running speed = 4 m/s
Jogging speed = 2 m/s
Total time taken = 2 minutes 6 seconds. = 126 seconds
That is
Length of track is 168 meter