Answer:
<em> Length of guy wire is 590.6 ft</em>
Step-by-step explanation:
The complete question is
A radio transmission tower is 210 feet tall. How long should a guy wire be if it is to be attached 8 feet from the top and is to make an angle of 20° with the ground. Give your answer to the nearest tenth of a foot.
height of tower = 210 ft
8 ft fro the top leaves 210 - 8 = 202 ft to the ground
This is an angle of elevation problem
the opposite is 202 ft
hypotenuse = ?
angle is 20°
using sin ∅ = opp/hyp
sin 20° = 202/hyp
0.342 = 202/hyp
hyp = 202/0.342 = <em>590.6 ft this is the length of the guy wire</em>
Answer:
12.65
Step-by-step explanation:
Answer:
12,599.1
Step-by-step explanation:
13,999 * 0.9 = 12,599.1
Answer:
The margin of of error for a 95% confidence interval for the population mean is of 1.39 years.
Step-by-step explanation:
We have that to find our
level, that is the subtraction of 1 by the confidence interval divided by 2. So:

Now, we have to find z in the Ztable as such z has a pvalue of
.
That is z with a pvalue of
, so Z = 1.96.
The margin of error is:

In which
is the standard deviation of the population and n is the size of the sample.
Population standard deviation of 3 years
This means that 
Sample of 18 voters
This means that 
Margin of error:



The margin of of error for a 95% confidence interval for the population mean is of 1.39 years.
Answer:
5:3
Step-by-step explanation:
to simplify this equation we have to find something that both numbers can be divided by
both numbers can be divided by 7
so when we divide the numbers we get
5b = 3c
so basically the ratio is 5:3