Answer:
no enough evidence to draw up a conclusion
Step-by-step explanation:
Data:
let: 
= decay after 2 weeks
= decay after 16 weeks
Making the hypotheses:
Null hypothesis; 
the deviation = 0.05
the standard difference = 4
Conditions:
The normal distribution curve can be plotted on a graph and the plot shows that the distribution is a skewed distribution.
Then,
Therefore, it can be concluded that 0.1983 > 0.05. This presents our failure to reject the null hypothesis.
Thus, there is not enough evidence to conclude that polyester decays more in less than 2 weeks.
Explanation:
In order to prove that affirmation, we define the function g over the interval [0, 1/2] with the formula 
If we evaluate g at the endpoints we have
g(0) = f(1/2)-f(0) = f(1/2) - f(1) (because f(0) = f(1))
g(1/2) = f(1) - f(1/2) = -g(0)
Since g(1/2) = -g(0), we have one chance out of three
- g(0) > 0 and g(1/2) < 0
- g(0) < 0 and g(1/2) > 0
- g(0) = g(1/2) = 0
We will prove that g has a zero on [0,1/2]. If g(0) = 0, then it is trivial. If g(0) ≠ 0, then we are in one of the first two cases, and therefore g(0) * g(1/2) < 0. Since f is continuous, so is g. Bolzano's Theorem assures that there exists c in (0,1/2) such that g(c) = 0. This proves that g has at least one zero on [0,1/2].
Let c be a 0 of g, then we have
Hence, f(c+1/2) = f(c) as we wanted.
Circumference = 2*pi*radius = 2*3.14*3 = 18.84 ft
Area = pi*radius^2 = 3.14*3*3= 28.26 ft^2
Answer:
Amount of potteries sold at $9.50 is 30
And that of $6.50 is 65 potteries
Step-by-step explanation:
Kindly refer to the attached image for explanations
