The answer is 1/6. To solve, simply set up an equation. It will be x/6. As you know, x can stand for anything. 1 will be the reasonable number for variable, x. Why? Well since x=1x. You don't actually write "1" Hope this makes your understanding clear.
Answer:72 ounces
Step-by-step explanation:
The correct answer is 72 ounces. In order to reach this answer you need to multiply 80 times .9, which equals 72.
Let these two ages be i and m. Then (1/3)m = 2i, which becomes m = 6i when we multiply both sides by 3.
Ratio:
M's age 6i
---------- = ------ = 6
I's age i
M is 6 times older than Ivan.
<span>The ratio of M's age to Ivan's is 6:1, or just 6.
</span>
Answer:
The 95% confidence interval for the true population mean of pollutant discharge is (26.7 tons, 33.7 tons).
Step-by-step explanation:
Let <em>X</em> represent the daily level of pollutant discharge in the manufacturing district in Pittsburgh.
The monitoring equipment reveals that for the 28 days of the February month
Mean daily discharge per factory, (
) = 30.2 tons
Standard deviation daily discharge per factory, (<em>s</em>) = 9.1 tons
Compute the critical value of <em>t</em> for 95% level of confidence and (n - 1 =) 27 degrees of freedom as follows:
![t_{0.05/2, 27}=2.052](https://tex.z-dn.net/?f=t_%7B0.05%2F2%2C%2027%7D%3D2.052)
*Use a t-table.
Compute the 95% confidence interval for the true population mean of pollutant discharge as follows:
![CI=\bar x\pm t_{\alpha/2, (n-1)}\cdot\frac{s}{\sqrt{n}}](https://tex.z-dn.net/?f=CI%3D%5Cbar%20x%5Cpm%20t_%7B%5Calpha%2F2%2C%20%28n-1%29%7D%5Ccdot%5Cfrac%7Bs%7D%7B%5Csqrt%7Bn%7D%7D)
![=30.2\pm 2.052\times\frac{9.1}{\sqrt{28}}\\\\=30.2\pm 3.53\\\\=(26.67, 33.73)\\\\\approx (26.7, 33.7)](https://tex.z-dn.net/?f=%3D30.2%5Cpm%202.052%5Ctimes%5Cfrac%7B9.1%7D%7B%5Csqrt%7B28%7D%7D%5C%5C%5C%5C%3D30.2%5Cpm%203.53%5C%5C%5C%5C%3D%2826.67%2C%2033.73%29%5C%5C%5C%5C%5Capprox%20%2826.7%2C%2033.7%29)
Thus, the 95% confidence interval for the true population mean of pollutant discharge is (26.7 tons, 33.7 tons).
Answer:
plug in those values into y = mx +b
m = the slope
b= y-intercept
the equation of the line is:
y = 1/5x +10
Step-by-step explanation:
I hope this helped :)