The possibilities are HH TT HT TH so to get TT you have a 1/4 chance (25%)
Answer:

or

Step-by-step explanation:
Well, the center origin of the circle is given (h,k) = (5,7).
We have to find our radius as they gave us a point. from origin to the edge of the circle.
Using the formula: (x - h)^2 + (y - k)^2 = r^2
Plug in our (h,k) = (5,7) and (x,y) = (10,19) to solve for radius.
(x - h)^2 + (y - k)^2 = r^2
(10 - (5))^2 + (19 - (7)^2 = r^2
(5)^2 + (12)^2 = r^2
25 + 144 = r^2
r^2 = 169
r = 13
The first answer is C.
The second answer is A.
25.8%
First, determine how many standard deviations from the norm that 3 tons are. So:
(3 - 2.43) / 0.88 = 0.57/0.88 = 0.647727273
So 3 tons would be 0.647727273 deviations from the norm. Now using a standard normal table, lookup the value 0.65 (the table I'm using has z-values to only 2 decimal places, so I rounded the z-value I got from 0.647727273 to 0.65). The value I got is 0.24215. Now this value is the probability of getting a value between the mean and the z-score. What I want is the probability of getting that z-score and anything higher. So subtract the value from 0.5, so 0.5 - 0.24215 = 0.25785 = 25.785%
So the probability that more than 3 tons will be dumped in a week is 25.8%