Answer:
D.
Step-by-step explanation:
Since negative times negative equals positive the graph will still be the same meaning -f(-x)=f(x)
Since the graph is the same the answer is D.
Hope this helps!
Answer:
2/10 & 3/15
Step-by-step explanation:
1/5 = (1×2)/(5×2) = 2/10
1/5 = (1×3)/(5×3) = 3/15
You can form many more equivalent forms
Answer:
13.5 in ^2
Step-by-step explanation:
The area of a trapezoid is given by
A = 1/2 (b1+b2) *h where b1 and b2 are the base length and h is the height
A = 1/2 (4+5) *3
= 1/2 (9) *3
= 1/2 (27)
= 13.5 in ^2
Answer:
72
Step-by-step explanation:
36 is radi
radi=circumference/2
36*2=72
Answer:
The probability that conservative party wins all 3 seats is 0.216
The probability that conservative party wins exactly two seats is 0.432
Step-by-step explanation:
Consider the provided information.
The probability of a conservative candidate winning is p=0.6.
The probability of one progressive candidate will win is: 1-0.6=0.4
Part (a) What is the probability that the conservative party wins all three seats?
According to binomial distribution: ![b(x; n, p) =^nC_xp^x(1- p)^{n-x}](https://tex.z-dn.net/?f=b%28x%3B%20n%2C%20p%29%20%3D%5EnC_xp%5Ex%281-%20p%29%5E%7Bn-x%7D)
![P(x=3) =^3C_3(0.6)^3 (0.4)^{3-3}](https://tex.z-dn.net/?f=P%28x%3D3%29%20%3D%5E3C_3%280.6%29%5E3%20%280.4%29%5E%7B3-3%7D)
![P(x=3) =(0.6)^3](https://tex.z-dn.net/?f=P%28x%3D3%29%20%3D%280.6%29%5E3)
![P(x=3)=0.216](https://tex.z-dn.net/?f=P%28x%3D3%29%3D0.216)
P(conservative party wins all 3 seats) = 0.216
Hence, the probability that conservative party wins all 3 seats is 0.216
Part (a) What is the probability that the conservative party wins exactly two seats?
![P(x=2) =^3C_2(0.6)^2 (0.4)^{3-2}](https://tex.z-dn.net/?f=P%28x%3D2%29%20%3D%5E3C_2%280.6%29%5E2%20%280.4%29%5E%7B3-2%7D)
![P(x=2) =3(0.36)(0.4)](https://tex.z-dn.net/?f=P%28x%3D2%29%20%3D3%280.36%29%280.4%29)
![P(x=2) =0.432](https://tex.z-dn.net/?f=P%28x%3D2%29%20%3D0.432)
Hence, the probability that conservative party wins exactly two seats is 0.432