Answer:
Step-by-step explanation:
To do this, we must use the unit circle. At the angle
the coordinate pair is (
,
) and the hypotenuse is 1
Now that we know these we can start using the trig functions
sin = y
cos = x
tan = 
And the other functions would be the reciprocal of these
csc = 
sec = 
cot = 
This would mean that
sinx = 
cosx =
tanx =
or
if you're supposed to rationalize your denominators
cscx = 2
secx =
or 
cot = 
-First we have to work out what’s in parenthesis.
(8*10^-3)=(8*0.001)=0.008
-This is for the second parenthesis
(2*10^-4)=(2*0.0001)=0.0002
-Now we multiply them together
ANSWER: 0.0000016
Answer:
Type I error.
Step-by-step explanation:
Let's remember the definition of Type I error and Type II error:
A type I error is the rejection of a true null hypothesis, this means that we would get a "false positive" with this error.
A type II error is the non rejection of a not true null hypothesis, this error would give us a "false negative".
In this problem, we are told that the mean match score to identify a suspect is 80. However, the test shows that the mean match score is more than 80 when the person doesn't have a fingerprint match (and therefore the person would not be a suspect). Therefore, this person would appear as a suspect when he/she really isn't one. This means that the test is giving a "false positive". Thus, this is a type I error.
The 30:60:90 proportion is 1:sqrt 3: 2
So,
x = 10/2
x = 5
y = 10/sqrt 3
Finding the area:
1/2 * 5 * 10/sqrt 3
25/sqrt 3
Hope this helps!