Answer:
And for this case the margin of error would be:
If the level of confidence increase we can conclude that the value of 
would increase and the the confidence interval would be wider, since the margin of error increase.
c. Increase; wider
Step-by-step explanation:
Previous concepts
A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".
The margin of error is the range of values below and above the sample statistic in a confidence interval.
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
Solution to the problem
Let's assume that we have a parameter of interest 
and we want to estimate the value of p with 
and in general the confidence interval if the distribution of p is normal is given by:
And for this case the margin of error would be:
If the level of confidence increase we can conclude that the value of would increase and the the confidence interval would be wider, since the margin of error increase.
c. Increase; wider
The equation that offers the best approximation to this result is: 
. (Choice D)
<h3>How to find the free fall formula for a given scenario</h3>
An object experiments a free fall when it is solely accelerated by gravity on the assumption of an <em>uniform</em> acceleration. The formula is described below:
(1)
Where:
- Initial height, in feet.
- Initial speed, in feet per second. 
- Time, in seconds. 
- Gravitational acceleration, in feet per square second.
If we know that 
, 
, 
, 
, then the height formula is:
The equation that offers the best approximation to this result is: . (Choice D)
To learn more on free fall, we kindly invite to check this verified question: brainly.com/question/13796105
Answer:
B. y = -2x + 8
Step-by-step explanation:
So the slope is the number that comes before the x, and if the slope is -2, that means the number before is -2, and it is.
And to know if it goes through (1, 6), put those numbers into the equation and see if they match up (x is the y-intercept)
6 = -2(1) + x
6 = -2 + x
x = 8
The one with both of these is B, which means B is the answer
For this, you would’ve needed a calculator:
Because this is a right triangle, you can apply SOH CAH TOA (sin, cosin, and tangent)
You have the hypotenuse, so now you need to figure out where the angle is in relation to x and y (one at a time though).
45 degrees is opposite from x, so you would use sin (SOH) because you have the opposite and hypotenuse. This looks like:
sin(45) = opposite/6(sqrt)2
So now you want to solve for the opposite, so do 6(sqrt)2 multiplied by sin(45). Which gets you 6.
For y, you want to find adjacent so use cosin. To solve, it’s going to look like 6(sqrt)2 • cos(45) which gets you 6.
