The answer would be D.
you would start by choosing one of the variables to eliminate, i chose to eliminate X first. in order to eliminate X, i had to multiply the second equation by -2. X then cancelled out, and i solved for the Y the same way you would a 1 step equation. Y=-4
I then took the first original equations, plugged Y in, and solved for X. X=3.
Hope this helps!
1/sqrt8 = 4(m+2)
1/sqrt8 = 4m +8
1 = (4m +8)*sqrt8
1 = 4m*sqrt8 +8sqrt8
sqrt8 = 2sqrt2
1 - 16sqrt2 = (8sqrt2)*m
m = (1 - 16sqrt2)/8sqrt2
m = (1 -16sqrt2)*sqrt2 / (8*2)
m = (sqrt2 -32)/16
hope this will help you
Answer: 15
Step-by-step explanation:
Given : Level of confidence = 0.90
Significance level : ![\alpha=1-0.90=0.10](https://tex.z-dn.net/?f=%5Calpha%3D1-0.90%3D0.10)
Critical value : ![z_{\alpha/2}=1.645](https://tex.z-dn.net/?f=z_%7B%5Calpha%2F2%7D%3D1.645)
Margin of error : ![E=\text{ 3 dollars}](https://tex.z-dn.net/?f=E%3D%5Ctext%7B%203%20dollars%7D)
Standard deviation: ![\sigma=\text{ 7 dollars}](https://tex.z-dn.net/?f=%5Csigma%3D%5Ctext%7B%207%20dollars%7D)
The formula to find the sample size : ![n=(\dfrac{\sigma\times z_{\alpha/2}}{E})^2](https://tex.z-dn.net/?f=n%3D%28%5Cdfrac%7B%5Csigma%5Ctimes%20z_%7B%5Calpha%2F2%7D%7D%7BE%7D%29%5E2)
![\Rightarrow n=(\dfrac{7\times(1.645)}{3})^2=14.7328027778\approx15](https://tex.z-dn.net/?f=%5CRightarrow%20n%3D%28%5Cdfrac%7B7%5Ctimes%281.645%29%7D%7B3%7D%29%5E2%3D14.7328027778%5Capprox15)
Hence, the minimum sample size needed= 15.
Answer:
I think it's -13
Step-by-step explanation:
Answer:
<h3>B. (1,3)</h3>
Step-by-step explanation:
<h3>What is a midpoint?</h3>
Midpoint a point equidistant from the ends of a line or the extremities of a figure.
To find the midpoint of the line segment with endpoint, use the midpoint formula.
<u>Midpoint formula:</u>
![\Rightarrow: \sf{\dfrac{x_2+x_1}{2}, \dfrac{y_2+y_1}{2} }}}](https://tex.z-dn.net/?f=%5CRightarrow%3A%20%5Csf%7B%5Cdfrac%7Bx_2%2Bx_1%7D%7B2%7D%2C%20%5Cdfrac%7By_2%2By_1%7D%7B2%7D%20%7D%7D%7D)
y2=(-10)
y1=16
x2=6
x1=(-4)
<u>Rewrite the problem down.</u>
![\sf{\left(\dfrac{6-4}{2},\:\dfrac{-10+16}{2}\right)}](https://tex.z-dn.net/?f=%5Csf%7B%5Cleft%28%5Cdfrac%7B6-4%7D%7B2%7D%2C%5C%3A%5Cdfrac%7B-10%2B16%7D%7B2%7D%5Cright%29%7D)
<u>Solve.</u>
6-4=2
2/2=1
-10+16=6
6/2=3
<u>= (1,3)</u>
Therefore, the correct answer is B (1,3).
I hope this helps, let me know if you have any questions.
To learn more about midpoint:
brainly.com/question/5127660
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