It's 248.3333 (but with the 3s repeating)
So, these are actually pretty simple once you learn the equality used to solve for "x" and when to implement this method. You can use this equality to solve for a segment "x" anytime that two secant lines cutting through a circle come from the same point outside the circle.
Secant: by geometric definition is just a straight line that cuts a curve into multiple pieces.
I did one of them for you hopefully you can use my work for "a" to help you solve for "b".
For a. I got x=7.
The best and most correct answer among the choices provided by your question is the first choice or letter A.
<span>A plane of symmetry divides a solid into two congruent solids.</span>
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This equation is physically unsolvable, as 12 isn't equal to 9.
Answer: The value of test statistic is 0.696.
Step-by-step explanation:
Since we have given that
![n_1=1399\\\\x_1=411\\\\p_1=\dfrac{x_1}{n_1}=\dfrac{411}{1399}=0.294](https://tex.z-dn.net/?f=n_1%3D1399%5C%5C%5C%5Cx_1%3D411%5C%5C%5C%5Cp_1%3D%5Cdfrac%7Bx_1%7D%7Bn_1%7D%3D%5Cdfrac%7B411%7D%7B1399%7D%3D0.294)
Similarly,
![n_2=759, x_2=211\\\\p_2=\dfrac{x_2}{n_2}=\dfrac{211}{759}=0.278](https://tex.z-dn.net/?f=n_2%3D759%2C%20x_2%3D211%5C%5C%5C%5Cp_2%3D%5Cdfrac%7Bx_2%7D%7Bn_2%7D%3D%5Cdfrac%7B211%7D%7B759%7D%3D0.278)
At 0.01 level of significance.
Hypothesis are :
![H_0:P_1=P_2=0.5\\\\H_a:P_1\neq P_2](https://tex.z-dn.net/?f=H_0%3AP_1%3DP_2%3D0.5%5C%5C%5C%5CH_a%3AP_1%5Cneq%20P_2)
So, the test statistic value would be
![z=\dfrac{(p_1-p_2)-(P_1-P_2)}{\sqrt{\dfrac{P_1Q_1}{n_1}+\dfrac{P_2Q_2}{n_2}}}\\\\z=\dfrac{0.294-0.278}{\sqrt{0.5\times 0.5(\dfrac{1}{1399}+\dfrac{1}{759})}}\\\\z=\dfrac{0.016}{0.023}=0.696](https://tex.z-dn.net/?f=z%3D%5Cdfrac%7B%28p_1-p_2%29-%28P_1-P_2%29%7D%7B%5Csqrt%7B%5Cdfrac%7BP_1Q_1%7D%7Bn_1%7D%2B%5Cdfrac%7BP_2Q_2%7D%7Bn_2%7D%7D%7D%5C%5C%5C%5Cz%3D%5Cdfrac%7B0.294-0.278%7D%7B%5Csqrt%7B0.5%5Ctimes%200.5%28%5Cdfrac%7B1%7D%7B1399%7D%2B%5Cdfrac%7B1%7D%7B759%7D%29%7D%7D%5C%5C%5C%5Cz%3D%5Cdfrac%7B0.016%7D%7B0.023%7D%3D0.696)
Hence, the value of test statistic is 0.696.