We know that the measure of arc AC = 92 degrees, and x and y are both inscribed angles of this arc, which means that they will have 1/2 of its measure.
Therefore, x = 1/2 (92) = 46 degrees and y = 1/2 (92) = 46 degrees
x = 46, y = 46 is your answer, or the first option
the answer is d since theres 5 students absent and 20x5 is 100 and every student has 5 markers
Answer:
reflection-FLIP rotation- SPIN or
TURN
Step-by-step explanation:
Answer:
Step-by-step explanation:
Given that an exit poll of 1000 randomly selected voters found that 515 favored measure A.
Sample proportion p = ![\frac{515}{1000} =0.515](https://tex.z-dn.net/?f=%5Cfrac%7B515%7D%7B1000%7D%20%3D0.515)
![q=1-0.515 =0.485\\n =1000\\SE = \sqrt{\frac{pq}{n} } \\=0.158\\](https://tex.z-dn.net/?f=q%3D1-0.515%20%3D0.485%5C%5Cn%20%3D1000%5C%5CSE%20%3D%20%5Csqrt%7B%5Cfrac%7Bpq%7D%7Bn%7D%20%7D%20%5C%5C%3D0.158%5C%5C)
Margin of error 99% = 2.58*SE
=![2.58*0.0158\\=0.0408](https://tex.z-dn.net/?f=2.58%2A0.0158%5C%5C%3D0.0408)
99% confidence interval =![(0.515-0.0408, 0.515+0.0408)\\= (0.474, 0.556)](https://tex.z-dn.net/?f=%280.515-0.0408%2C%200.515%2B0.0408%29%5C%5C%3D%20%280.474%2C%200.556%29)
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![H_0: p =0.5\\H_a: p >0.5\\](https://tex.z-dn.net/?f=H_0%3A%20p%20%3D0.5%5C%5CH_a%3A%20p%20%3E0.5%5C%5C)
(Right tailed test)
STd error = ![\sqrt{\frac{0.5*0.5}{1000} } \\=0.0158](https://tex.z-dn.net/?f=%5Csqrt%7B%5Cfrac%7B0.5%2A0.5%7D%7B1000%7D%20%7D%20%5C%5C%3D0.0158)
Test statistic Z = p diff/std error =![\frac{0.015}{0.0158} \\\\=0.9487](https://tex.z-dn.net/?f=%5Cfrac%7B0.015%7D%7B0.0158%7D%20%5C%5C%5C%5C%3D0.9487)
p value = 0.1714