Answer:
<h3>In an independent groups experiment, if we must estimate the population standard deviation to determine the significance of the sample results, the appropriate inference test is the<u> t test</u></h3>
Step-by-step explanation:
In an independent groups experiment, if we must estimate the population standard deviation to determine the significance of the sample results, the appropriate inference test is the<u> </u><u>t test</u>
<h3>For :</h3>
- A t-test is one of the methods of a statistic and is used to determine if there is a significant difference between the two groups of their means based on a sample in data.
- The statistical significance is determined by the difference between the averages of group size , the sample size, and standard deviations of the groups.
<h3>Therefore option c) t test is correct</h3>
Answer:
4x+20=
6x-10
Step-by-step explanation:
Simplifying: 4x + 20 = 6x + -10
Reorder the terms: 20 + 4x = 6x + -10
Reorder the terms: 20 + 4x = -10 + 6x
Solving: 20 + 4x = -10 + 6x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-6x' to each side of the equation: 20 + 4x + -6x = -10 + 6x + -6x
Combine like terms: 4x + -6x = -2x: 20 + -2x = -10 + 6x + -6x
Combine like terms: 6x + -6x = 0: 20 + -2x = -10 + 0: 20 + -2x = -10
Add '-20' to each side of the equation: 20 + -20 + -2x = -10 + -20
Combine like terms: 20 + -20 = 0: 0 + -2x = -10 + -20: -2x = -10 + -20
Combine like terms: -10 + -20 = -30: -2x = -30
Divide each side by '-2': x = 15
Simplifying: x = 15
(1/12) / (1/3) = 1/x....now just solve it like a proportion.....oh, and x represents the number of hrs it would take to fill the whole tank
Answer:
see attached
Step-by-step explanation:
When the sequence of sides (shortest to longest, for example) remains the same (CW or CCW), then the number of reflections is even, possibly zero. The figure will have been <em>translated</em> if all of the corresponding sides retain their original direction, otherwise <em>rotation</em> is involved.
If the sequence is reversed, as in the upper right and lower left figures, then <em>reflection</em> is involved. The line of reflection will be the line through the midpoints of the segments connecting corresponding vertices.
bearing in mind that standard form for a linear equation means
• all coefficients must be integers, no fractions
• only the constant on the right-hand-side
• all variables on the left-hand-side, sorted
• "x" must not have a negative coefficient
![\bf \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-1)}=\stackrel{m}{\cfrac{8}{9}}[x-\stackrel{x_1}{(-4)}]\implies y+1=\cfrac{8}{9}(x+4) \\\\\\ \stackrel{\textit{multiplying both sides by }\stackrel{LCD}{9}}{9(y+1)=9\left( \cfrac{8}{9}(x+4) \right)}\implies 9y+9=8(x+4)\implies 9y+9=8x+32 \\\\\\ 9y=8x+23\implies -8x+9y=23\implies 8x-9y=-23](https://tex.z-dn.net/?f=%5Cbf%20%5Cbegin%7Barray%7D%7B%7Cc%7Cll%7D%20%5Ccline%7B1-1%7D%20%5Ctextit%7Bpoint-slope%20form%7D%5C%5C%20%5Ccline%7B1-1%7D%20%5C%5C%20y-y_1%3Dm%28x-x_1%29%20%5C%5C%5C%5C%20%5Ccline%7B1-1%7D%20%5Cend%7Barray%7D%5Cimplies%20y-%5Cstackrel%7By_1%7D%7B%28-1%29%7D%3D%5Cstackrel%7Bm%7D%7B%5Ccfrac%7B8%7D%7B9%7D%7D%5Bx-%5Cstackrel%7Bx_1%7D%7B%28-4%29%7D%5D%5Cimplies%20y%2B1%3D%5Ccfrac%7B8%7D%7B9%7D%28x%2B4%29%20%5C%5C%5C%5C%5C%5C%20%5Cstackrel%7B%5Ctextit%7Bmultiplying%20both%20sides%20by%20%7D%5Cstackrel%7BLCD%7D%7B9%7D%7D%7B9%28y%2B1%29%3D9%5Cleft%28%20%5Ccfrac%7B8%7D%7B9%7D%28x%2B4%29%20%5Cright%29%7D%5Cimplies%209y%2B9%3D8%28x%2B4%29%5Cimplies%209y%2B9%3D8x%2B32%20%5C%5C%5C%5C%5C%5C%209y%3D8x%2B23%5Cimplies%20-8x%2B9y%3D23%5Cimplies%208x-9y%3D-23)
