Answer:
f(x) = ( x + 1 ) ( x - 8 )
Step-by-step explanation:
We have to find a polynomial equation that has double zeros at x = - 1 and at x = 8
Therefore, the polynomial has only two roots and it will be a quadratic polynomial and it has factors ( x + 1 ) and ( x - 8 )
So, the polynomial is y = f(x) = ( x + 1 ) ( x - 8 ) (Answer)
Thats a decimal. An improper fraction os when the numerator(number on the top) is larger than the denomenator(number on bottom)
Answer:
H0: p(1980) = p(2010) ; H1 : P(1980) > P(2010)
0.02
Step-by-step explanation:
Given that:
Sample size in both 1980 and 2010 = 1000 samples :
Proportion in favor :
P(1980) = 0.66
P(2010) = 0.64
To test the hypothesis :
Null hypothesis :
Proportion in favor are the same in both years
Null hypothesis = H0 = p(1980) = p(2010)
Alternative hypothesis :
Proportion in favor in 1980 is greater than that in 2010
Alternative hypothesis = H1 : P(1980) > P(2010)
The sample statistic :
P(1980) - p(2010)
0.66 - 0.64
= 0.02
We are given that there are 11 animals with a total of 34 legs.
Let G = number of Goats, and D = number of Ducks
then G + D = 11; solving for G, we get G = 11 - D
then, 4G + 2D = 34
substituting the value for G, we get 4(11 - D) + 2D = 34
expanding, we get 44 - 4D + 2D = 34
solving, we get D = 5. Therefore, G = 6
Proof: (5 x 2) + (6 x 4) = 34
