Answer:
z =
Step-by-step explanation:
Given z is directly proportional to x and inversely proportional to y then the equation relating them is
z = ← k is the constant of proportionality
To find k use the condition x = 7, y = 7 and z = 2
k = =
= 2
z = ← equation of proportionality
When x = 10 and y = 12, then
z = =
=
Answer:
Equation of line best fits the scatter plot is y =
Step-by-step explanation:
Let the equation of line be y = mx + c
where m = slope of line and c is the intercept on y -axis
from the graph intercept on y-axis is 108
and the slope of line is given by m = where (
) and (
) is the points on line
let, points be (4,96) and (18,36)
on calculating this m = =
Therefore equation of line best fits the scatter plot is y =
Answer:
The degrees of freedom are given by:
The p value for this case would be given by:
Step-by-step explanation:
Information given
represent the mean height for the sample
represent the sample standard deviation
sample size
represent the value that we want to test
t would represent the statistic
represent the p value for the test
Hypothesis to verify
We want to cehck if the true mean is lees than 25 mph, the system of hypothesis would be:
Null hypothesis:
Alternative hypothesis:
The statistic would be given by:
(1)
Replacing the info given we got:
The degrees of freedom are given by:
The p value for this case would be given by: