Answer: There was a total of 173 animals left by the river
Step-by-step explanation:187+266 = 453
You subtract 453 from the total number of animals which is 632
632-453 = 179
Answer:
2/3x - 3 = 5
Step-by-step explanation:
Let x be the number
2/3x - 3 = 5
Add 3 to each side
2/3x-3+3 = 5+3
2/3x = 8
Multiply each side by 3/2
3/2*2/3x = 8*3/2
x = 12
Answer:
It's 144 units^2
Step-by-step explanation:
You have to take your 3/2 and square it, turning it to 9/4 and multiply that by 64, which gives you 144.
Answer:
Explained below.
Step-by-step explanation:
(1)
The confidence level is, 91%.
Compute the value of α as follows:
![\text{Confidence level}\% =(100-\alpha \%)\\\\91% = 100-\alpha \%\\\\\alpha \%=100-91\%\\\\\alpha \%=9\%\\\\\alpha =0.09](https://tex.z-dn.net/?f=%5Ctext%7BConfidence%20level%7D%5C%25%20%3D%28100-%5Calpha%20%5C%25%29%5C%5C%5C%5C91%25%20%3D%20100-%5Calpha%20%5C%25%5C%5C%5C%5C%5Calpha%20%5C%25%3D100-91%5C%25%5C%5C%5C%5C%5Calpha%20%5C%25%3D9%5C%25%5C%5C%5C%5C%5Calpha%20%3D0.09)
(2)
As the population standard deviation is provided, i.e. <em>σ</em> = 256 psi, the <em>z</em> value would be appropriate.
The <em>z</em> value for α = 0.09 is,
<em>z</em> = 1.69
(3)
Compute the 91% confidence interval as follows:
![CI=\bar x\pm z_{\alpha/2}\cdot\frac{\sigma}{\sqrt{n}}](https://tex.z-dn.net/?f=CI%3D%5Cbar%20x%5Cpm%20z_%7B%5Calpha%2F2%7D%5Ccdot%5Cfrac%7B%5Csigma%7D%7B%5Csqrt%7Bn%7D%7D)
![=3000\pm 1.69\cdot\frac{256}{\sqrt{70}}\\\\=3000\pm 51.71\\\\=(2942.29, 3057.71)](https://tex.z-dn.net/?f=%3D3000%5Cpm%201.69%5Ccdot%5Cfrac%7B256%7D%7B%5Csqrt%7B70%7D%7D%5C%5C%5C%5C%3D3000%5Cpm%2051.71%5C%5C%5C%5C%3D%282942.29%2C%203057.71%29)
(4)
The 91% confidence interval for population mean implies that there is a 0.91 probability that the true value of the mean is included in the interval, (2942.29, 3057.71) psi.