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Answer:
c = 0.1864
Step-by-step explanation:
To find c, we need to find the z-score where:
P(-z<Z<z) = 98%
Based on the properties of the normal distribution we can said that
P(-z<Z<z) = 98% is equal to:
2*P(Z>z) = 2% or P(Z>z)= 1%
So, using the standard normal table, the z score is 2.33
Then, we can calculated the value of c as:
Where s is the standard deviation and z is the z-score. Replacing the values, we get:
c = 2.33*0.08
c = 0.1864
The area of a circle is equal to the radius squared times pie, basically:
The radius is 3, so we multiply 3 times 3 times pie to get the area.
You're gonna want to plug in the following into a calculator:
After getting 28.26 from such calculator, you need to round to the tenths place. In this number, the tenths place is the 2 next to the decimal on the right. Because the number after the 2 is a 6, that means we need to simplify the answer to (28.3). When you are rounding a number, you look at the number to the right, if it is 5 or bigger, add one and remove the rest, if it is less than 5, just get rid of the rest and leave it as it is.
The radius is 3, so we multiply 3 times 3 times pie to get the area.
You're gonna want to plug in the following into a calculator:
After getting 28.26 from such calculator, you need to round to the tenths place. In this number, the tenths place is the 2 next to the decimal on the right. Because the number after the 2 is a 6, that means we need to simplify the answer to (28.3). When you are rounding a number, you look at the number to the right, if it is 5 or bigger, add one and remove the rest, if it is less than 5, just get rid of the rest and leave it as it is.