Answer:
Step-by-step explanation:
∠S=180-(54+62)=180-116=64°
using sin formula
![\frac{x}{sin~64} =\frac{7}{sin~62} \\x=\frac{7~sin~64}{sin~62} \approx 7.1256 \approx 7.13](https://tex.z-dn.net/?f=%5Cfrac%7Bx%7D%7Bsin~64%7D%20%3D%5Cfrac%7B7%7D%7Bsin~62%7D%20%5C%5Cx%3D%5Cfrac%7B7~sin~64%7D%7Bsin~62%7D%20%5Capprox%207.1256%20%5Capprox%207.13)
Answer:
Step-by-step explanation:
Answer:
41x² - 27x + 27
Step-by-step explanation:
Perimeter of Rectangle:
= 2(20x²-12x+4) + 2(5x²-5x+15)
= 40x²-24x+8 + 10x²-10x+30
= 50x²-34x+38
Perimeter of Triangle:
= 6x²+6x+3x+3+3x²-2x+8
= 9x²+7x+11
Difference:
(50x²-9x²)+(-34x+7x)+(38-11)
= 41x² - 27x + 27
Answer:
50%
Step-by-step explanation:
68-95-99.7 rule
68% of all values lie within the 1 standard deviation from mean ![(\mu-\sigma,\mu+\sigma)](https://tex.z-dn.net/?f=%28%5Cmu-%5Csigma%2C%5Cmu%2B%5Csigma%29)
95% of all values lie within the 1 standard deviation from mean ![(\mu-1\sigma,\mu+1\sigma)](https://tex.z-dn.net/?f=%28%5Cmu-1%5Csigma%2C%5Cmu%2B1%5Csigma%29)
99.7% of all values lie within the 1 standard deviation from mean ![(\mu-3\sigma,\mu+3\sigma)](https://tex.z-dn.net/?f=%28%5Cmu-3%5Csigma%2C%5Cmu%2B3%5Csigma%29)
The distribution of the number of daily requests is bell-shaped and has a mean of 55 and a standard deviation of 4.
![\mu = 55\\\sigma = 4](https://tex.z-dn.net/?f=%5Cmu%20%3D%2055%5C%5C%5Csigma%20%3D%204)
68% of all values lie within the 1 standard deviation from mean
=
= ![(51,59)](https://tex.z-dn.net/?f=%2851%2C59%29)
95% of all values lie within the 2 standard deviation from mean
=
= ![(47,63)](https://tex.z-dn.net/?f=%2847%2C63%29)
99.7% of all values lie within the 3 standard deviation from mean
=
= ![(43,67)](https://tex.z-dn.net/?f=%2843%2C67%29)
Refer the attached figure
P(43<x<55)=2.5%+13.5%+34%=50%
Hence The approximate percentage of light bulb replacement requests numbering between 43 and 55 is 50%