Answer:
on p or q put
Step-by-step explanation:
1) p and q true
2) q false
3) p false
4) p and q false
As in this figure two sides of triangle are equal so angle A=B because angle opposite to equal sides are equal so
60+x+x= 180
60+2x=180
2x= 180-60
2x=120
x=120/2
x=60
Therefore B,C is 60
The steps to construct a regular hexagon inscribed in a circle using a compass and straightedge are given as follows:
1. <span>Construct a circle with its center at point H.
2. </span><span>Construct horizontal line l and point H on line l
3. </span>Label
the point of intersection of the circle and line l to the left of point
H, point J, and label the point of intersection of the circle and line l
to the right of point H, point K.<span>
4. Construct
a circle with its center at point J and having radius HJ .
Construct a circle with its center at point K having radius HJ
5. </span><span>Label
the point of intersection of circles H and J that lies above line l,
point M, and the point of their intersection that lies below line l,
point N. Label the point of intersection of circles H and K that lies
above line l, point O, and the point of their intersection that lies
below line l, point P.
6. </span><span>Construct and JM⎯⎯⎯⎯⎯, MO⎯⎯⎯⎯⎯⎯⎯, OK⎯⎯⎯⎯⎯⎯⎯, KP⎯⎯⎯⎯⎯, PN⎯⎯⎯⎯⎯⎯, and NJ⎯⎯⎯⎯⎯ to complete regular hexagon JMOKPN .</span>
Answer:
(a) 0.1414
(b) 0.1010
Step-by-step explanation:
(a)
The density curve is rectangular in shape.
This implies that the distribution of donations is Uniform.
(b)
Compute the probability of donations at least 85 cents as follows:

![=\frac{1}{99}\times [x]^{99}_{85}\\\\=\frac{99-85}{99}\\\\=0.1414\\\\](https://tex.z-dn.net/?f=%3D%5Cfrac%7B1%7D%7B99%7D%5Ctimes%20%5Bx%5D%5E%7B99%7D_%7B85%7D%5C%5C%5C%5C%3D%5Cfrac%7B99-85%7D%7B99%7D%5C%5C%5C%5C%3D0.1414%5C%5C%5C%5C)
Thus, the proportion of donations that are at least 85 cents is 0.1414.
(b)
Compute the probability of donations between 30 and 40 cents as follows:

![=\frac{1}{99}\times [x]^{40}_{30}\\\\=\frac{40-30}{99}\\\\=0.1010](https://tex.z-dn.net/?f=%3D%5Cfrac%7B1%7D%7B99%7D%5Ctimes%20%5Bx%5D%5E%7B40%7D_%7B30%7D%5C%5C%5C%5C%3D%5Cfrac%7B40-30%7D%7B99%7D%5C%5C%5C%5C%3D0.1010)
Thus, the probability of donations between 30 and 40 cents is 0.1010.
Answer:
Step-by-step explanation:
The initial amount invested is P0
Say it is compounded periodically either quarterly or monthly or semi annually with interest r%
If for a period interest is r%
Then after first period principal = principal+simple interest
=
where n is the no of times in a year it is compounded. n = 4 if quarterly, 12 if annually, etc
At the end of II period we have
Principal =
So for interest again the process is repeated
Thus we repeat this nt times which result in power with nt
Hence the formula