Answer:C
Step-by-step explanation:
Answer:
100/19400*12105=62.3969072165 100-62.3969072165 = 37.60% (rounded)
Step-by-step explanation:
100% = 19'400 divide and multiply with the current value, this will give you the % deductions. Simply deduct the result from 100.
The interval notation is ![(-\sqrt{11}-4, \sqrt{11}-4)](https://tex.z-dn.net/?f=%28-%5Csqrt%7B11%7D-4%2C%20%5Csqrt%7B11%7D-4%29)
Explanation:
The inequality is ![x^{2}+8 x+5](https://tex.z-dn.net/?f=x%5E%7B2%7D%2B8%20x%2B5%3C0)
Let us complete the square, we get,
![x^{2}+8 x+5+4^{2}-4^{2}](https://tex.z-dn.net/?f=x%5E%7B2%7D%2B8%20x%2B5%2B4%5E%7B2%7D-4%5E%7B2%7D%3C0)
Simplifying, we have,
![(x+4)^{2}+5-4^{2}](https://tex.z-dn.net/?f=%28x%2B4%29%5E%7B2%7D%2B5-4%5E%7B2%7D%3C0)
![(x+4)^{2}-11](https://tex.z-dn.net/?f=%28x%2B4%29%5E%7B2%7D-11%3C0)
Adding both sides of the equation by 11, we get,
![(x+4)^{2}](https://tex.z-dn.net/?f=%28x%2B4%29%5E%7B2%7D%3C11)
Since, we know that for
, if n is even then ![-\sqrt[n]{a}](https://tex.z-dn.net/?f=-%5Csqrt%5Bn%5D%7Ba%7D%3Cu%3C%5Csqrt%5Bn%5D%7Ba%7D)
Thus, writing the above expression in this form, we get,
![-\sqrt{11}](https://tex.z-dn.net/?f=-%5Csqrt%7B11%7D%3Cx%2B4%3C%5Csqrt%7B11%7D)
Also, if
then
and ![u](https://tex.z-dn.net/?f=u%3Cb)
Then ,we have,
and ![x+4](https://tex.z-dn.net/?f=x%2B4%3C%5Csqrt%7B11%7D)
Solving the inequalities, we get,
and ![x+4](https://tex.z-dn.net/?f=x%2B4%3C%5Csqrt%7B11%7D%5C%5Cx%20%5C%20%5C%20%5C%20%5C%20%5C%20%3C%5Csqrt%7B11%7D-4)
Merging the intervals, we have,
![-\sqrt{11}-4](https://tex.z-dn.net/?f=-%5Csqrt%7B11%7D-4%3Cx%3C%5Csqrt%7B11%7D-4)
Hence, writing the solution in interval notation, we have,
![(-\sqrt{11}-4, \sqrt{11}-4)](https://tex.z-dn.net/?f=%28-%5Csqrt%7B11%7D-4%2C%20%5Csqrt%7B11%7D-4%29)
Therefore, the answer is ![(-\sqrt{11}-4, \sqrt{11}-4)](https://tex.z-dn.net/?f=%28-%5Csqrt%7B11%7D-4%2C%20%5Csqrt%7B11%7D-4%29)
Lower quartile is 108
upper quartile is 142
First, let's look at the ratio.
You also know that for every 8 indoor events, there is 3 field events.
Therefore, the amount of indoor events is 8 on 11 events total, as 8 + 3 = 11
Then, let's look at the actual number of events. If there is 22 events total, you need to solve this proportion :