Is the 10 taking away 5 or was it meant to me 10.5 ?
The answer is 59049 hope this helps
16 x 3/8 so 16/1 x 3/8 = 48/8. 48 divided by 8 is 6. So 6 inches.
Answer: (2.54,6.86)
Step-by-step explanation:
Given : A random sample of 10 parking meters in a beach community showed the following incomes for a day.
We assume the incomes are normally distributed.
Mean income : ![\mu=\dfrac{\sum^{10}_{i=1}x_i}{n}=\dfrac{47}{10}=4.7](https://tex.z-dn.net/?f=%5Cmu%3D%5Cdfrac%7B%5Csum%5E%7B10%7D_%7Bi%3D1%7Dx_i%7D%7Bn%7D%3D%5Cdfrac%7B47%7D%7B10%7D%3D4.7)
Standard deviation : ![\sigma=\sqrt{\dfrac{\sum^{10}_{i=1}{(x_i-\mu)^2}}{n}}](https://tex.z-dn.net/?f=%5Csigma%3D%5Csqrt%7B%5Cdfrac%7B%5Csum%5E%7B10%7D_%7Bi%3D1%7D%7B%28x_i-%5Cmu%29%5E2%7D%7D%7Bn%7D%7D)
![=\sqrt{\dfrac{(1.1)^2+(0.2)^2+(1.9)^2+(1.6)^2+(2.1)^2+(0.5)^2+(2.05)^2+(0.45)^2+(3.3)^2+(1.7)^2}{10}}](https://tex.z-dn.net/?f=%3D%5Csqrt%7B%5Cdfrac%7B%281.1%29%5E2%2B%280.2%29%5E2%2B%281.9%29%5E2%2B%281.6%29%5E2%2B%282.1%29%5E2%2B%280.5%29%5E2%2B%282.05%29%5E2%2B%280.45%29%5E2%2B%283.3%29%5E2%2B%281.7%29%5E2%7D%7B10%7D%7D)
![=\dfrac{30.265}{10}=3.0265](https://tex.z-dn.net/?f=%3D%5Cdfrac%7B30.265%7D%7B10%7D%3D3.0265)
The confidence interval for the population mean (for sample size <30) is given by :-
![\mu\ \pm t_{n-1, \alpha/2}\times\dfrac{\sigma}{\sqrt{n}}](https://tex.z-dn.net/?f=%5Cmu%5C%20%5Cpm%20t_%7Bn-1%2C%20%5Calpha%2F2%7D%5Ctimes%5Cdfrac%7B%5Csigma%7D%7B%5Csqrt%7Bn%7D%7D)
Given significance level : ![\alpha=1-0.95=0.05](https://tex.z-dn.net/?f=%5Calpha%3D1-0.95%3D0.05)
Critical value : ![t_{n-1,\alpha/2}=t_{9,0.025}=2.262](https://tex.z-dn.net/?f=t_%7Bn-1%2C%5Calpha%2F2%7D%3Dt_%7B9%2C0.025%7D%3D2.262)
We assume that the population is normally distributed.
Now, the 95% confidence interval for the true mean will be :-
![4.7\ \pm\ 2.262\times\dfrac{3.0265}{\sqrt{10}} \\\\\approx4.7\pm2.16=(4.7-2.16\ ,\ 4.7+2.16)=(2.54,\ 6.86)](https://tex.z-dn.net/?f=4.7%5C%20%5Cpm%5C%202.262%5Ctimes%5Cdfrac%7B3.0265%7D%7B%5Csqrt%7B10%7D%7D%20%5C%5C%5C%5C%5Capprox4.7%5Cpm2.16%3D%284.7-2.16%5C%20%2C%5C%204.7%2B2.16%29%3D%282.54%2C%5C%206.86%29)
Hence, 95% confidence interval for the true mean= (2.54,6.86)
Answer:I think it's 3 7.75/20 hours
Step-by-step explanation:
Multiply 2/15 by 20 (2x20 and 15x20)
Then 13/20 by 15 (13x15 and 20x15)
Subtract (195/300 - 40/300)
And you get 155/300
Then divide by 20 because dividing by 15 gives you 10.333333
So divide 155/300 by 20 (155÷20 and 300÷20)
And you get 7.75/20
Finally subtract the 2 hours from 5 hours and get 3 hours
Your answer is 3 7.75 hours