Answer:
Step-by-step explanation:
The tangent to the angle makes an angle of 90° with the radius.
The interior angle of the equilateral triangle is 60, so that leaves 90-60 = 30° for the remaining angle with the tangent.
By the exterior angle theorem, 30°+x° = 60° (interior angle of the equilateral triangle), therefore
x = 60-30 = 30°.
Answer:
We are 95% confident that the proportion of American voters who favor congressional term limits is 64 percent with a difference of 3% for small sample size.
Step-by-step explanation:
95 % confidence means that we are 95 % confident that the the proportion of American voters who favor congressional term limits is 64 percent.
95 % confidence means that of all the sample about 95 % values are within in the given range.
And only 5% sample are not included in the given parameter.
Margin of error is the amount of miscalculation or difference in change of circumstances from the obtained data.
3% margin of error usually occurs when the data size is small.
As the data size increases the margin of error decreases.
So this statement tells us that we are 95% confident that the proportion of American voters who favor congressional term limits is 64 percent with a difference of 3% for small sample size.
Margin of error= z *σ/√n→
This indicates that as the sample size decreases the margin of error increases and vice versa.
(a+3)(a-2)
Multiply the two brackets together
a^2-2a+3a+3*-2
a^2+a-6
Answer is a^2+a-6
I think this problem gave the data for the radius of earth so that we will know the conversion ratio between statute miles and nautical miles. However, you can simply search that. There are 1.15 statute miles in 1 nautical mile. Hence,
Distance in nautical miles = <span>884884 statute miles * 1 nautical mile/1.15 statute miles
<em>Distance =769,464.35 nautical miles</em></span>
