Step-by-step explanation:
Dilation changes the size of the shape and is not a rigid motion.
Answer:
r=4
Step-by-step explanation:
Area of a circle is
A = pi* r^2
We know the area and 3.14 = pi
50.24 = 3.14 * r^2
Divide each side by 3.14
50.24/3.14 =3.14 /3.14 *r^2
16 = r^2
Take the square root of each side
sqrt(16) = sqrt(r^2)
4 =r
Answer:
Simplifying the expression:
we get 
Step-by-step explanation:
We need to simplify the expression: 
First we will solve terms inside the bracket

Converting mixed fraction
into improper fraction, we get: 
Replacing the term:

Now, taking LCM of: 5,3,4,2 we get 60
Now multiply 60 with each term inside the bracket

Now, combine like terms

Now, multiply all terms with 2

So, Simplifying the expression:
we get 
it is going to be greater than 1
Margin of error is important in determining the probability as it gives realistic data for the distribution. The formula to be followed for margin of error is m% = z* sqrt (p*(1-p))/n where p is the % positive outcome, n is the sample size and z* is a constant dependent to % confidence level. Substituting, m% = z* (0.03). Level of confidence is not given but assuming at95% CF, m% = 6%