Answer: t = 1.9287
Step-by-step explanation:
Let
be the average number of pages should be sent by 2-day mail instead.
As per given we have,
![H_0: \mu \leq7\\\\H_a:\mu>7](https://tex.z-dn.net/?f=H_0%3A%20%5Cmu%20%5Cleq7%5C%5C%5C%5CH_a%3A%5Cmu%3E7)
Sample mean : ![\overline{x}=8.52](https://tex.z-dn.net/?f=%5Coverline%7Bx%7D%3D8.52)
Sample standard deviation : s=3.81
sample size : n= 24
Since , the sample size is less than 30 and populations standard deviation is unknown , so we use t-test.
The test statistic for population mean :-
![t=\dfrac{\overline{x}-\mu}{\dfrac{s}{\sqrt{n}}}](https://tex.z-dn.net/?f=t%3D%5Cdfrac%7B%5Coverline%7Bx%7D-%5Cmu%7D%7B%5Cdfrac%7Bs%7D%7B%5Csqrt%7Bn%7D%7D%7D)
![t=\dfrac{8.5-7}{\dfrac{3.81}{\sqrt{24}}}\\\\=\dfrac{1.5}{\dfrac{3.81}{4.8990}}\\\\=\dfrac{1.5}{0.777712993333}=1.92873208093\approx1.9287](https://tex.z-dn.net/?f=t%3D%5Cdfrac%7B8.5-7%7D%7B%5Cdfrac%7B3.81%7D%7B%5Csqrt%7B24%7D%7D%7D%5C%5C%5C%5C%3D%5Cdfrac%7B1.5%7D%7B%5Cdfrac%7B3.81%7D%7B4.8990%7D%7D%5C%5C%5C%5C%3D%5Cdfrac%7B1.5%7D%7B0.777712993333%7D%3D1.92873208093%5Capprox1.9287)
Hence, the test statistics : t = 1.9287
<h3>Answer = 76000 tens</h3>
760000 : 10 = 76000
#Divide it by 10 if you want to find how many tens are there
Answer:
Z = 80 degrees and X = 8 degrees
Step-by-step explanation:
The reason Z = 80 degrees is because a flat line always has a measure of 180 degrees.
I forget the term, but we know that 6x + 52 is equal to 100 due to some angle theorem. (Once again, I do not remember the term.)
We then subtract 52 from 100 to get the equation 6x = 48. Divide them both by 6 and you get X = 8!
Hope this helped!