Answer:
24
Step-by-step explanation:
(72/-9) / (-1/3)
72/-9) x (-3/1)
(72)*(-3) = - 216/ -9
= 24
The answer is none I’m pretty sure
Answer: 184.08 l.y.
Step-by-step explanation:
Let the width of Orion's belt is x light year.
By cosine law,
![(x)^2 = (915)^2+(736)^2-2\times 915\times 736 cos3^{\circ}](https://tex.z-dn.net/?f=%28x%29%5E2%20%3D%20%28915%29%5E2%2B%28736%29%5E2-2%5Ctimes%20915%5Ctimes%20736%20cos3%5E%7B%5Ccirc%7D)
![(x)^2 = 837225+541696-1346880 cos3^{\circ}](https://tex.z-dn.net/?f=%28x%29%5E2%20%3D%20837225%2B541696-1346880%20cos3%5E%7B%5Ccirc%7D)
![(x)^2 = 837225+541696-1345034.14777](https://tex.z-dn.net/?f=%28x%29%5E2%20%3D%20837225%2B541696-1345034.14777)
![(x)^2 = 33886.8522298](https://tex.z-dn.net/?f=%28x%29%5E2%20%3D%2033886.8522298)
![x = 184.08381849\approx 184.08](https://tex.z-dn.net/?f=x%20%3D%20184.08381849%5Capprox%20184.08)
Thus, the width of the Orion's belt is 184.08 light year.
Answer:
rational real whole
Step-by-step explanation:
Answer: 0.6812
Step-by-step explanation:
Let p be the population proportion of trees are infested by a bark beetle.
As per given: p= 12%= 0.12
Sample size : n= 1000
Number of trees affected in sample = 1000
Sample proportion of trees are infested by a bark beetle. = ![\hat{p}=\dfrac{127}{1000}=0.127](https://tex.z-dn.net/?f=%5Chat%7Bp%7D%3D%5Cdfrac%7B127%7D%7B1000%7D%3D0.127)
Now, the z-test statistic : ![z=\dfrac{\hat{p}-p}{\sqrt{\dfrac{p(1-p)}{n}}}](https://tex.z-dn.net/?f=z%3D%5Cdfrac%7B%5Chat%7Bp%7D-p%7D%7B%5Csqrt%7B%5Cdfrac%7Bp%281-p%29%7D%7Bn%7D%7D%7D)
So, ![z=\dfrac{0.127-0.12}{\sqrt{\dfrac{0.12\times 0.88}{1000}}}](https://tex.z-dn.net/?f=z%3D%5Cdfrac%7B0.127-0.12%7D%7B%5Csqrt%7B%5Cdfrac%7B0.12%5Ctimes%200.88%7D%7B1000%7D%7D%7D)
![z=\dfrac{0.007}{\sqrt{\dfrac{0.1056}{1000}}}\\\\\\=\dfrac{0.007}{\sqrt{0.0001056}}\\\\\\=\dfrac{0.007}{0.010276}\approx0.6812](https://tex.z-dn.net/?f=z%3D%5Cdfrac%7B0.007%7D%7B%5Csqrt%7B%5Cdfrac%7B0.1056%7D%7B1000%7D%7D%7D%5C%5C%5C%5C%5C%5C%3D%5Cdfrac%7B0.007%7D%7B%5Csqrt%7B0.0001056%7D%7D%5C%5C%5C%5C%5C%5C%3D%5Cdfrac%7B0.007%7D%7B0.010276%7D%5Capprox0.6812)
Hence, the value of the z-test statistic = 0.6812 .