2.5 kilometres is 2500 meters as 1km is 1000m
2500-2050 = 450m
as david is the one that rode 2.5 kilometres he rode further by 450 meters
Answer:
Step-by-step explanation:
Information given
n=370 represent the sample selected
estimated proportion of readers owned a laptop
is the value that we want to test
z would represent the statistic
represent the p value
Creating the hypothesis
We need to conduct a hypothesis in order to test if the true proportion of readers owned a laptop is different from 0.45, the system of hypothesis are:
Null hypothesis:
Alternative hypothesis:
The statistic is:
(1)
Replacing we got:
Calculating the p value
We have a bilateral test so then the p value would be:
Answer:
See below.
Step-by-step explanation:
1. x = e^(x/y) Taking logs:
log x = x/y
x = y log x
Differentiating:
1 = dy/dx log x + y * 1/x
dy/dx log x = (1 - y/x)
dy/dx = (1 - y/x) / log x
dy/dx = ((x - y)/ x) / log x
dy/dx = (x - y) / x log x)
2. y^x = e ^(y - x)
Taking logs:
x log y = y - x --------------(A)
y = x + x logy --------------(B)
dy/dx = 1 + x * 1/y * dy/dx + 1*logy
dy/dx - dy/dx * x/y = 1 + log y
dy/dx ( (x - y) y)) = 1 + log y
dy/dx = y(1 + log y) / (y - x)
Using (A) and (B) :-
dy/dx = x(1 + logy)(1 + logy) / x logy The x's cancel, so:
dy/dx = (1 + logy)^2 / log y
Sorry I have to go right now..
The rest of the answers are on the re-post of these questions
Answer:

Now we can find the limits in order to determine outliers like this:


So for this case the left boundary would be 3, if a value is lower than 3 we consider this observation as an outlier
b. 3
Step-by-step explanation:
For this case we have the following summary:
represent the minimum value
represent the first quartile
represent the median
represent the third quartil
represent the maximum
If we use the 1.5 IQR we need to find first the interquartile range defined as:

Now we can find the limits in order to determine outliers like this:


So for this case the left boundary would be 3, if a value is lower than 3 we consider this observation as an outlier
b. 3