Answer:
a) The probability that exactly 41 of the murders were cleared is 0.0013
b) The probability that between 36 and 38 of the murders, inclusive, were cleared is 0.0809.
c) Yes, it would be unusual
Step-by-step explanation:
Let p=62% considered as the probability of having a commited that is cleared by arres or exceptional means. We assume that choosing each of the 50 commited is independent of each choose. Then, let X be the number of cleared. In this case, X is distributed as a binomial random variable. Recall that, in this case,
for
, with p=0.62
a) We have that

b) We are asked for the following
(The specific calculation is omitted.
c) We will check for the following probability 

Given that the probability of this event is really close to 0, it would be unusual if less than 19 murders are cleared.
A = (pi) * r^2
A = 3.14 * 11^2
A = 3.14 * 121
A = 379.94 miles
I got m 7/3 I think that's the answer
Well, the cos(∅) is negative in the second and third quadrants. If you are solving for theta, you would use the inverse of the cos or arccos

take the inverse of both sides to get:
x = arccos(-2/3) now evaluate the right
x = 131.8103149 degrees
to find your second solution, subtract your reference angle from 360 degrees.
360 - 131.8103149 = 228.1896851 degrees
Now the period of cos is 2π or 360 degrees. So if you want to consider all possible solutions, you would need to add/subtract 360n to both solutions above..
Not sure if this is what you're looking for, but thought I would leave it here for you just in case... As a side note, you could do this problem in radian measurement as well.
Answer:
280 pages
Step-by-step explanation:
There are 14 days in 2 weeks ( 7 days in 1 week )
20 pages a day * 14 days = 280 pages