no matter how slanted a rhombus may be, let's recall that all sides in a rhombus are equal, meaning ![3y=15\implies y=\cfrac{15}{3}\implies y=5](https://tex.z-dn.net/?f=3y%3D15%5Cimplies%20y%3D%5Ccfrac%7B15%7D%7B3%7D%5Cimplies%20y%3D5)
Answer: t= 2.032
Step-by-step explanation:
Given : Sample size : ![n=20](https://tex.z-dn.net/?f=n%3D20)
Sample mean : ![\overline{x}=121](https://tex.z-dn.net/?f=%5Coverline%7Bx%7D%3D121)
Standard deviation : ![\sigma= 11](https://tex.z-dn.net/?f=%5Csigma%3D%2011)
Claim : The IQ scores of statistics professors are normally distributed, with a mean greater than 116.
Let
be the mean scores of statistics professors.
Then the set of hypothesis for the given situation will be :-
![H_0:\mu\leq116\\\\H_1:\mu>116](https://tex.z-dn.net/?f=H_0%3A%5Cmu%5Cleq116%5C%5C%5C%5CH_1%3A%5Cmu%3E116)
As the alternative hypothesis is right tailed , thus the test would be right tail test.
Since the sample size is less than 30, therefore the test would be t-test .
The test statistics for the given situation will be :-
![t=\dfrac{\overline{x}-\mu}{\dfrac{\sigma}{\sqrt{n}}}](https://tex.z-dn.net/?f=t%3D%5Cdfrac%7B%5Coverline%7Bx%7D-%5Cmu%7D%7B%5Cdfrac%7B%5Csigma%7D%7B%5Csqrt%7Bn%7D%7D%7D)
![\Rightarrow\ t=\dfrac{121-116}{\dfrac{11}{\sqrt{20}}}=2.03278907045\approx2.032](https://tex.z-dn.net/?f=%5CRightarrow%5C%20t%3D%5Cdfrac%7B121-116%7D%7B%5Cdfrac%7B11%7D%7B%5Csqrt%7B20%7D%7D%7D%3D2.03278907045%5Capprox2.032)
Hence, the value of the test statistic : t= 2.032
The probability of losing per flip is 1/2. Multiply 1/2 by itself 6 times since the condition is asking for the probability for the person to lose 6 times in a row. 1/2 * 1/2 * 1/2 * 1/2 * 1/2 * 1/2 = 1/64. The answer is 1/64.
Answer:
i think 125
Step-by-step explanation:
It's the first choice. 9b = 11.07.