Answer:
(0.6613, 8.3387)
Step-by-step explanation:
Let the heights of men be the first population and the heights of women be the second population. Then
We have 
, 
, 
and
, 
, 
. The pooled
estimate is given by
The 99% confidence interval for the true mean difference between the mean height of the men and the mean height of the women is given by (if the samples are independent)
, i.e.,
where 
is the 0.5th quantile of the t distribution with (15+7-2) = 20 degrees of freedom. So
, i.e.,
(0.6613, 8.3387)
B:(5,1) where 5 is the x co-ordinate and 1 is the y co-ordinare!
Answer:
19.0681
Step-by-step explanation:
Given in the question that,
angle from ted to the dog = 60° with the ground
height of ted from the ground = 16ft
To find,
distance between dog and the door of ted's building
Considering the scenario make a right angle triangle:
<h3>By using pythagorus theorem:</h3>
Tan 40 = opposite / adjacent
Tan 40 = height / distance between dog and the door
Tan 40 = 16ft / x
x = 16 / tan40
x = 19.068057
x ≈ 19.0681 (nearest to thousand)
So, the dog need to walk 19.0681ft to reach the open door directly below Ted.
Answer:
9.08 hours
Step-by-step explanation:
in order to fill 1 pool
fill rate by pipe = 1 pool / 15 hours = 1/15 pool per hour
fill rate by hose = 1 pool / 23 hours = 1/23 pool per hour
combined rate = fill rate by pipe + fill rate by pool
= 1/15 + 1/23 = 38/345 pool per hour
since:
38/345 pool -----------> will take 1 hour
1 pool --------------------> will take 1 hour x (345/38) = 9.08 hours
