Answer:
-1.4, -.7 .003, 3%(.03), .3, .66(2/3) .85 (7/8) 0.875, 100/50 (2)
Step-by-step explanation:
Answer:
Based on this report, you can conclude that a total of ___11__ individuals participated in the research study .
Step-by-step explanation:
Given that a research report describing the results from a repeated-measures study states:
The data show no significant difference between the two treatments, t(10) = 1.65, p > .05.
Since t(10) is given, we can conclude that degrees of freedo is 10
Hence sample size is 10+1 =11
Based on this report, you can conclude that a total of ___11__ individuals participated in the research study .
The ratio a:b is 3:8
Step-by-step explanation:
In simple words, the ratio a:b means the fraction a/b.
So we will have to solve the given equation for a/b
Given
![8a=3b](https://tex.z-dn.net/?f=8a%3D3b)
Dividing both sides by 8
![\frac{8a}{8}=\frac{3b}{8}\\a=\frac{3b}{8}](https://tex.z-dn.net/?f=%5Cfrac%7B8a%7D%7B8%7D%3D%5Cfrac%7B3b%7D%7B8%7D%5C%5Ca%3D%5Cfrac%7B3b%7D%7B8%7D)
Dividing both sides by b
![\frac{a}{b}=\frac{3b}{8*b}\\\frac{a}{b} =\frac{3}{8}](https://tex.z-dn.net/?f=%5Cfrac%7Ba%7D%7Bb%7D%3D%5Cfrac%7B3b%7D%7B8%2Ab%7D%5C%5C%5Cfrac%7Ba%7D%7Bb%7D%20%3D%5Cfrac%7B3%7D%7B8%7D)
The ratio a:b is 3:8
Keywords: Ratios, Fractions
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The remainder from the division of the algebraic equation is -53/8.
<h3>What is the remainder of the algebraic expression?</h3>
The remainder of the algebraic expression can be determined by using the long division method.
Given that:
![\mathbf{f(x) = \dfrac{x^3 - 6x^2 + 3x - 1}{2x-3}}](https://tex.z-dn.net/?f=%5Cmathbf%7Bf%28x%29%20%3D%20%5Cdfrac%7Bx%5E3%20-%206x%5E2%20%2B%203x%20-%201%7D%7B2x-3%7D%7D)
where:
Using the long division method, we have:
![\mathbf{= \dfrac{x^2}{2} +\dfrac{-\dfrac{9x^2}{2}+3x -1 }{2x-3}}](https://tex.z-dn.net/?f=%5Cmathbf%7B%3D%20%5Cdfrac%7Bx%5E2%7D%7B2%7D%20%2B%5Cdfrac%7B-%5Cdfrac%7B9x%5E2%7D%7B2%7D%2B3x%20-1%20%7D%7B2x-3%7D%7D)
![\mathbf{= \dfrac{x^2}{2}-\dfrac{9x}{4} +\dfrac{-\dfrac{-15x}{4}-1 }{2x-3}}](https://tex.z-dn.net/?f=%5Cmathbf%7B%3D%20%5Cdfrac%7Bx%5E2%7D%7B2%7D-%5Cdfrac%7B9x%7D%7B4%7D%20%2B%5Cdfrac%7B-%5Cdfrac%7B-15x%7D%7B4%7D-1%20%7D%7B2x-3%7D%7D)
![\mathbf{= \dfrac{x^2}{2}-\dfrac{9x}{4} -\dfrac{15}{8}+\dfrac{-\dfrac{53}{8} }{2x-3}}](https://tex.z-dn.net/?f=%5Cmathbf%7B%3D%20%5Cdfrac%7Bx%5E2%7D%7B2%7D-%5Cdfrac%7B9x%7D%7B4%7D%20-%5Cdfrac%7B15%7D%7B8%7D%2B%5Cdfrac%7B-%5Cdfrac%7B53%7D%7B8%7D%20%7D%7B2x-3%7D%7D)
![\mathbf{= \dfrac{x^2}{2}-\dfrac{9x}{4} -\dfrac{15}{8}-\dfrac{53 }{8(2x-3)}}](https://tex.z-dn.net/?f=%5Cmathbf%7B%3D%20%5Cdfrac%7Bx%5E2%7D%7B2%7D-%5Cdfrac%7B9x%7D%7B4%7D%20-%5Cdfrac%7B15%7D%7B8%7D-%5Cdfrac%7B53%20%7D%7B8%282x-3%29%7D%7D)
Therefore, we can conclude that the remainder is -53/8.
Learn more about the division of algebraic equations here:
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16.
1/2= 0.5 and it takes 16 months to get to 8 inches.
0.5x16=8