Answer:
C. 1796.08 
Step-by-step explanation:
Area of circle is 
, r is the radius
remember radius is from the center to the edge, so it is half the diameter
now we need to find the area of the large circle (table) minus the small circle (hole)
the radius of the large circle is 48/2 which is 24
the area is 
replacing r in the formula with 24, the radius. Using 3.14 as pi, the answer is 1808.64
the radius of the small circle is 4/2 which is 2
the area is 
so the calculated value would be 12.56
now subtract the area of the hole (small circle) from the area of the table (large circle)
1808.64 - 12.56 = 1796.08
and there's your answer
hope that helps, lmk if it doesn't :)
Area of a circle is Pi multiplied by radius squared
So, we do 3.142*2squared
Which gives you 12.568
so the area of the circle is 12.568 metres squared
<h3>
Answer: -0.196</h3>
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Explanation:
We're conducting a one proportion Z test.
The hypothesized population proportion is p = 0.53, which is not to be confused with the p-value (unfortunately statistics textbooks seem to overuse the letter 'p'). Luckily this problem is not asking for the p-value.
The sample population proportion is
phat = x/n = 41/79 = 0.518987 approximately
The standard error (SE) is
SE = sqrt(p*(1-p)/n)
SE = sqrt(0.53*(1-0.53)/79)
SE = 0.056153 approximately
Making the test statistic to be
z = (phat - p)/(SE)
z = (0.518987 - 0.53)/0.056153
z = -0.19612487311452
z = -0.196
Which is approximate and rounded to 3 decimal places.
Hello!
The cylinder shown has a lateral surface area of about 80 square inches. Which answer is closest to the height of the cylinder? Use 3.14 to approximate pi.
We have the following data:
Al (lateral surface area) = 80 in²
R (ratio) = 4 in
h (height) = ? (in inches)
Adopt : π ≈ 3.14
We apply the data to the formula, we have:
Answer:
≈ 3.2 inches
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Looks as tho' you'll need to derive a function whose input and output values are represented by the given table. First, let's assume that the function is a linear one and that its general form is y=mx+b, where m=slope and b=y-intercept.
Take any two pairs of input-output and find the slope of the line segment that connects these two points. Call the slope "m."
Now use the point-slope form of the equation of a straight line to determine the equation of the line in point-slope form: y-k=m(x-h). You already know the value of m here, and you can pick any set of x- and y-values from the table to replace (h,k).
Good idea to double-check that your equation really does represent every pair of x- and y-coordinates in the table.
Assuming that it does, solve your equation (above) for x. Substitute 16 for y in this equation for x. Calculate the x-value that corresponds to y=16.
