Answer:
x = 107
Step-by-step explanation:
The sum of the exterior angles of a polygon is 360
105 + 148 +x =360
Combine like terms
253 +x = 360
Subtract 253 from each side
253-253+x = 360-253
x = 107
Total fish = 100
Carp = 30
Number of fish caught = 20
The random variable X follows hyper-geometric distribution.
Mean = 30 *20 / 100 = 600/100 = 6
Variance = 30*20/100 * ((20-1)*(30-1)/100-1 + 1-30*20/100)
Variance = 600/100 * 56/99
Variance = 112/33
Assumptions: Is that X follows hyper-geometric distribution with the given information.
Answer:
The six trig ratios at 3pi/2 are:
sin(3pi/2)=-1
cos(3pi/2)=0
tan(3pi/2) (undefined)
csc(3pi/2)=-1
sec(3pi/2) (undefined)
cot(3pi/2)=0
Step-by-step explanation:
If tangent is undefined then cosine would have to be 0 given that tangent is the ratio of sine to cosine.
cosine is 0 at pi/2 and 3pi/2 in the first rotation of the unit circle.
3pi/2 satisfies the given constraint.
The six trig ratios are therefore:
sin(3pi/2)=-1
cos(3pi/2)=0
tan(3pi/2)=-1/0 (undefined)
Reciprocal values:
csc(3pi/2)=-1
sec(3pi/2) undefined since cos(3pi/2)=0
cot(3pi/2)=0/-1=0
