Answer:
You have 80 yards left to run.
Step-by-step explanation:
To solve this problem, we first must realize that if you have completed 80% of the run, that you have 20% left (this is because 100%-80% = 20%).
Next, we must find 20% of 400 yards. We must remember that in math, the word "of" represents multiplication. We also know that 20% = 20/100 = 0.2.
To find 20% of 400 yards, we can perform the following operation:
20% * 400
0.2 * 400
80
Therefore, you have 80 yards left.
Hope this helps!
When rounding earlier, it could be screwing you out of an extra few cents that you might eventually need for tax
Well, units divide and multiply just like numbers. That's why Area is in units of distance squared (cm × cm = cm²) and volume is cubic distance (m × m × m = m³).
Likewise other mathematical operations can be performed on them, including division where they can cancel out of the equation.
For instance, a rate, speed, slope or conversion factor is usually one unit divided by another unit. Like so...
speed = 5 meters per second
![= \frac{5m}{1sec}](https://tex.z-dn.net/?f=%3D%20%5Cfrac%7B5m%7D%7B1sec%7D%20)
If you are given a distance traveled, let's say 100 meters and asked to solve for time it takes to get there. You would divide by the speed so that meters cancel leaving only time.
** Of course to divide by a fraction is to flip and multiply so really you're just multiplying by it, making sure the same units are diagonal and cancel out like so:
![100 m * \frac{1sec}{5m} = 20 sec](https://tex.z-dn.net/?f=100%20m%20%2A%20%20%5Cfrac%7B1sec%7D%7B5m%7D%20%3D%2020%20sec)
Hope this helps!
Answer:
C
Step-by-step explanation:
Answer:
Option C) Increase; wider
Step-by-step explanation:
When constructing a confidence interval,
Margin of error =
![\text{Critical Value}\times \displaystyle\frac{\text{Standard Deviation}}{\sqrt{\text{Sample Size}}} = \text{Critical Value}\times \frac{\sigma}{\sqrt{n}}](https://tex.z-dn.net/?f=%5Ctext%7BCritical%20Value%7D%5Ctimes%20%5Cdisplaystyle%5Cfrac%7B%5Ctext%7BStandard%20Deviation%7D%7D%7B%5Csqrt%7B%5Ctext%7BSample%20Size%7D%7D%7D%20%3D%20%5Ctext%7BCritical%20Value%7D%5Ctimes%20%5Cfrac%7B%5Csigma%7D%7B%5Csqrt%7Bn%7D%7D)
As the confidence level increases, the value for critical value increases and hence, the margin of error increases.
Confidence interval =
![\text{Sample mean} \pm \text{Margin of error}](https://tex.z-dn.net/?f=%5Ctext%7BSample%20mean%7D%20%5Cpm%20%5Ctext%7BMargin%20of%20error%7D)
As the margin of error increases, the confidence interval will be wider.