Answer:
x = 60°
y = 72°
z = 48°
Step-by-step explanation:
x = 180 - p = 180 - 120 = 60
Since y;z = 3:2 , 2y = 3z or z = 2y/3
Now, x + y + z = 180
60 + y + 2y/3 = 180 Multiply thru by 3 to remove the fraction
180 + 3y + 2y = 540
180 + 5y = 540
5y = 360
y = 72
z = 2(72)/3 = 48
Check: 60 + 72 + 48 = 180
Answer:
y = |x| + 1
Step-by-step explanation:
1 can be anything greater than 0
Answer:
(0.767,0.833)
Step-by-step explanation:
The 95% confidence interval for population proportion p can be computed as
The z-value associated with 95% confidence level is 1.96.
whereas p=x/n
We are given that x=440 and n=550.
p=440/550=0.8
Thus, the required confidence interval is
0.767<P<0.833 (rounded to 3 decimal places)
Hence, we are 95% confident that our true population proportion will lie in the interval (0.767,0.833)
Answer:
Occam’s razor theory.
Step-by-step explanation:
This theory is known as Occam’s razor theory.
It's a theory based on the principle whereby we give precedence to simplicity. It states that out of two competing theories, the one with the simpler explanation of an object should be embraced over the other. The reason is that the philosopher William of Ockham said that "objects are not meant to be multiplied beyond absolute necessity.”
This definition resonates with what is explained in the question.
Thus, the theory is as explained.
It’s $18.63 , 10.35 divided by 5 = 2.07 , so 2.07 times 9 = $18.63
