3. lighthouses are constructed to guide ships travelling in rocky waters and to allow sailing at night. there are many ways to report the size of a lighthouse. however, the height is usually measured from the base of the tower to the top of the ventilator ball. to predict the mean height of all lighthouses in france, we look to randomly select a sample of lighthouses in france. assume the standard deviation of the size of lighthouses is 8 meters. how large a sample is necessary to ensure that the confidence level is 95% and that the estimated mean height of lighthouses does not differ from the true mean height by more than 1 meter?

n=246 lighthouses

Step-by-step explanation:

Hello!

You need to calculate the sample size to take to estimate the population mean of french lighthouses height. For this calculation, the information given is the standard deviation (σ=8m), the confidence level 0.95 and a margin of error of 1m.

The formula for the confidence interval is:

x[bar] ± *(σ/√n)

The margin of error of the interval is:

d=  *(σ/√n)

From this formula you can clear the sample size.

n=(σ * (/d))²

n=(8 * 1.96)²

            1

n =245.86 ≅ 246 lighthouses

I hope ypu have a SUPER day!

when rotating a figure 180 degrees, imagine that you are able to take the figure and turn it clockwise or counterclockwise around a center point. to rotate a figure 180 degrees, you will need to apply the rule (x, y) → (-x, -y). start by using a coordinate grid with coordinates for each vertex of the figure. the center point of the coordinate grid is located at (0, 0), which is what you will rotate the figure around. write down the original coordinates of the shape you are going to rotate. then, apply the rule. for example, coordinate (1, 2) becomes (-1, -2). another example would be, coordinate (-4, -2) becoming (4, 2). after you change each original coordinate to the rotated coordinate, you will draw your new figure.

step-by-step explanation:

a.

step-by-step explanation:

a constant is a number without a variable, and m will always have a variable, therefore making m a constant. a term is just a part of an equation, so that makes any part of an equation always a term, so the answer will not be term.