Answer:
Step-by-step explanation:
Given
-- City C
--- City K
Required
Determine the 90% confidence interval
This is calculated using:
Calculating
For a 90% confidence level, the z-score is 1.65. So:
Calculating the standard deviation
So:
So:
An automotive service center would like feedback on its customer service. each customer receives a printed card after they pay f
1 answer:
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Observe attached picture.
On picture we have:
A = height of flagpole = x ft
B = length of flagpole's shadow = 24 ft
C = height of sign = 6 ft
D = length of sign's shadow = 3 ft
When we draw a picture representing this problem we can also add another line marked in red. This way we can see that we have two right-angle triangles. We can see that both have same angle marked with α.
We can apply trigonometry rules to find height of flagpole.
From small triangle containing sign we can find tangens function:
Similarly we can do for large triangle containing flagpole:
We see that these two equations have same left sides. This means that their right sides must also be same:
We can solve for A:
Height of flagpole is 48 feet.
On picture we have:
A = height of flagpole = x ft
B = length of flagpole's shadow = 24 ft
C = height of sign = 6 ft
D = length of sign's shadow = 3 ft
When we draw a picture representing this problem we can also add another line marked in red. This way we can see that we have two right-angle triangles. We can see that both have same angle marked with α.
We can apply trigonometry rules to find height of flagpole.
From small triangle containing sign we can find tangens function:
Similarly we can do for large triangle containing flagpole:
We see that these two equations have same left sides. This means that their right sides must also be same:
We can solve for A:
Height of flagpole is 48 feet.
Answer:
(0, - 6)
Step-by-step explanation:
Since this is a vertical line then the midpoint of the y- coordinates is
(0 - 12) = - 6
⇒ midpoint = (0, - 6 )