Step-by-step explanation
They sold $480 of tshirts, the ratio is 480;20, simplified to 24:1.
One shirt is $20, but $4 is the amount taken from 20 for the equipment.
Multiply $24 by the $4 taken for the equipment. (Equals $96)
They make 4/20 (1/5) of the the sales as a profit for equipment.
Multiply 1/5 by 480 and you will get $96 as the club's profits.
I hope this helped ya
4+3
2+5
6+1
3 chances of landing a 7.
s is less than or equal to 75
Answer:
The null hypothesis cannot be rejected since the test statistic is approximately t = .20,which is not in the rejection region.
Step-by-step explanation:
Data: 14.25, 13.7, 14.02, 14.13, 13.99, 14.0
Mean = ![\frac{Sum}{n}=14.015](https://tex.z-dn.net/?f=%5Cfrac%7BSum%7D%7Bn%7D%3D14.015)
Standard deviation =![\sqrt{\frac{\sum(x-\bar{x})^2}{n}}=0.1836](https://tex.z-dn.net/?f=%5Csqrt%7B%5Cfrac%7B%5Csum%28x-%5Cbar%7Bx%7D%29%5E2%7D%7Bn%7D%7D%3D0.1836)
Claim : Average number of fluid ounces in the cup should be 14.
Null hypothesis : ![H_0:\mu = 14](https://tex.z-dn.net/?f=H_0%3A%5Cmu%20%3D%2014)
Alternate hypothesis :![H_a:\mu \neq 14](https://tex.z-dn.net/?f=H_a%3A%5Cmu%20%5Cneq%2014)
n = 6
![t = \frac{x-\mu}{\frac{s}{\sqrt{n}}}\\t=\frac{14.015-14}{\frac{0.1836}{\sqrt{6}}}\\t=0.20\\\alpha = 0.05t_{df,\alpha}=t_{(5,0.05)}=2.571](https://tex.z-dn.net/?f=t%20%3D%20%5Cfrac%7Bx-%5Cmu%7D%7B%5Cfrac%7Bs%7D%7B%5Csqrt%7Bn%7D%7D%7D%5C%5Ct%3D%5Cfrac%7B14.015-14%7D%7B%5Cfrac%7B0.1836%7D%7B%5Csqrt%7B6%7D%7D%7D%5C%5Ct%3D0.20%5C%5C%5Calpha%20%3D%200.05t_%7Bdf%2C%5Calpha%7D%3Dt_%7B%285%2C0.05%29%7D%3D2.571)
t critical > t calculated
So, we failed to reject null hypothesis
So, Option B is true
Hence The null hypothesis cannot be rejected since the test statistic is approximately t = .20,which is not in the rejection region.