50 times 28, you will get 1400.
If trying to mental calculate, I would :
28=20+8
50 times 20 = 1000
50 times 8 = 400
Then add them up to 1400.
Answer:
Given expression is equal to 1/32
Step-by-step explanation:
Given that:
= 4^(-5/2)
To eliminate "-" sign we will invert the fraction as follows:
= (1/4)^ 5/2
Or it can be written as:
= ![=\sqrt{(1/4)^5} \\=\sqrt{1/1024} \\=1/32](https://tex.z-dn.net/?f=%3D%5Csqrt%7B%281%2F4%29%5E5%7D%20%5C%5C%3D%5Csqrt%7B1%2F1024%7D%20%5C%5C%3D1%2F32)
This is the simplified expression.
i hope it will help you!
Answer:
95% Confidence interval for the mean
![142.8 \leq\mu\leq158.4](https://tex.z-dn.net/?f=142.8%20%5Cleq%5Cmu%5Cleq158.4)
Step-by-step explanation:
We have to calculate a 95% confidence interval for the mean of a finite population.
The error is multiplied by the following finite population correction factor:
![cf=\sqrt{\frac{N-n}{N-1} }](https://tex.z-dn.net/?f=cf%3D%5Csqrt%7B%5Cfrac%7BN-n%7D%7BN-1%7D%20%7D)
The standard deviation can be estimated as
![\sigma=\frac{s}{\sqrt{n}} \sqrt{\frac{N-n}{N-1} } =\frac{24.4}{\sqrt{32} }* \sqrt{\frac{200-32}{200-1} }=3.963](https://tex.z-dn.net/?f=%5Csigma%3D%5Cfrac%7Bs%7D%7B%5Csqrt%7Bn%7D%7D%20%5Csqrt%7B%5Cfrac%7BN-n%7D%7BN-1%7D%20%7D%20%3D%5Cfrac%7B24.4%7D%7B%5Csqrt%7B32%7D%20%7D%2A%20%5Csqrt%7B%5Cfrac%7B200-32%7D%7B200-1%7D%20%7D%3D3.963)
The 95% confidence interval has a z value of 1.96, so it becomes:
![M-z*\sigma_c\leq\mu\leq M+z*\sigma_c\\\\150.6-1.96*3.963\leq\mu\leq 150.6+1.96*3.963\\\\ 142.8 \leq\mu\leq 158.4](https://tex.z-dn.net/?f=M-z%2A%5Csigma_c%5Cleq%5Cmu%5Cleq%20M%2Bz%2A%5Csigma_c%5C%5C%5C%5C150.6-1.96%2A3.963%5Cleq%5Cmu%5Cleq%20150.6%2B1.96%2A3.963%5C%5C%5C%5C%20142.8%20%5Cleq%5Cmu%5Cleq%20158.4)
Answer: (a) Yes. The table is a function.
<u>Step-by-step explanation:</u>
In order to be a function, there cannot be any duplicate x-values.
In the given table, each x-value is different so this IS a function.
2/3+3/4=17/12=1.417 This is the anwser