Answer:
Pr(X >42) = Pr( Z > -2.344)
= Pr( Z< 2.344) = 0.9905
Step-by-step explanation:
The scenario presented can be modeled by a binomial model;
The probability of success is, p = 0.65
There are n = 80 independent trials
Let X denote the number of drivers that wear a seat belt, then we are to find the probability that X is greater than 42;
Pr(X > 42)
In this case we can use the normal approximation to the binomial model;
mu = n*p = 80(0.65) = 52
sigma^2 = n*p*(1-p) = 18.2
Pr(X >42) = Pr( Z > -2.344)
= Pr( Z< 2.344) = 0.9905
The general equation of the circle is expressed as (x-h)2 + (y-k)2 = r2 where (h,k) is the center of the circle. we are are given the center of the circle at (0,0) so the expression is simplified to <span>(x)2 + (y)2 = r2. given the other point, r2 is equal to 41. hence the final equation is x2 + y2 = 41</span>
0.096 = Ninety-six thousandths
Divide the total price by the total number of books from each printer to find the price per book:
Printer A: $350 / 100 books = $3.50 per book
Printer B: $150 / 40 books = $3.75
Printer A has the lowest price.
Sum measure interior angle = (n-2)180 ; n is the no.of sides
=(3-2)180
= 180°
53+59+x = 180
111+x = 180
x = 180-111
x = 69°
Angle B is 69°
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