Remark
Let the pigs = p
Let the chickens = c
Givens
30 heads is another way of saying that there were 30 creatures in the barnyard. In addition each chicken has 2 legs and each pig has 4
c + p = 30
2C + 4P = 100 (2) Divide (2) by 2
C + 2P = 50 (3) Subtract (1) from (3)
<u>C + P = 30</u>
P = 20
So there were 20 pigs.
The lowest common denominator for 15 and 12 will get in this way
15=3*5
12 = 3*4
LCM will be 3*4*5=12*5=60
Answer: It is believed that exactly 20% of Evergreen Valley college students attended the opening night midnight showing of the latest harry potter movie.
Step-by-step explanation:
Since we have given that
n = 84
x = 11
So, 
p = 0.20
So, hypothesis:

so, test statistic value would be

At 1% level of significance, critical value would be
z= 2.58
Since 2.58>-1.604
So, We will accept the null hypothesis.
Hence, It is believed that exactly 20% of Evergreen Valley college students attended the opening night midnight showing of the latest harry potter movie.
Answer:
The area of the sector is 25.1327 cm²
Step-by-step explanation:
The area of a sector of circunference delimited by an angle in radians can be calculated by using the formula below:
area = (angle*r²)/2
area = [(4*pi/9)*(6)²]/2
area = [(4*pi/9)*36]/2
area = (144*pi/9)/2
area = 144*pi/18
area = 8*pi
area = 25.1327 cm²
The area of the sector is 25.1327 cm²
Here you go. This is the graph of the function:
y - 3 = 2(x - 5)