Answer:
x=2. y=1/2
Step-by-step explanation:
4x-2y=7. Equation 1
x+2y=3. Equation 2
Add the two equations
(4x+x) +(-2y+2y) =7+3
5x+0=10
5x=10 divide both sides by 5
X=2
Substitute x=2 in equation 2
2+2y=3
2y=3-2
2y=1. Divide both side by 2
Y=1/2
<h2>
Answer with explanation:</h2>
As per given , we have
Sample size : n= 5
Degree pf freedom = : df= 5-1=4
![\mu=\$75.00](https://tex.z-dn.net/?f=%5Cmu%3D%5C%2475.00)
![\sigma=\$13.00](https://tex.z-dn.net/?f=%5Csigma%3D%5C%2413.00)
Significance level for 90% confidence = ![\alpha=1-0.90=0.1](https://tex.z-dn.net/?f=%5Calpha%3D1-0.90%3D0.1)
Using t-value table , t-critical value for 90% confidence:
![t_{\alpha/2, df}=t_{0.05, 4}=2.132.](https://tex.z-dn.net/?f=t_%7B%5Calpha%2F2%2C%20df%7D%3Dt_%7B0.05%2C%204%7D%3D2.132.)
Margin of error of
: ![E=t_{\alpha/2}\dfrac{\sigma}{\sqrt{n}}\\\\(2.132)\dfrac{13}{\sqrt{5}}=12.3949720129\approx12.39](https://tex.z-dn.net/?f=E%3Dt_%7B%5Calpha%2F2%7D%5Cdfrac%7B%5Csigma%7D%7B%5Csqrt%7Bn%7D%7D%5C%5C%5C%5C%282.132%29%5Cdfrac%7B13%7D%7B%5Csqrt%7B5%7D%7D%3D12.3949720129%5Capprox12.39)
Interpretation : The repair cost will be within $12.39 of the real population mean value
90% of the time.
Answer:
d. 4.5
Step-by-step explanation:
10x-5=16x+22
-22 -22
10x-27=16x
-10x -10x
-27=6x
x=4.5
Answer:
Step-by-step explanation:
hypotenuse
<h3>Solve the inequality |3t+1| > 8.</h3>
<h2>ANSWER</h2>
<h3>
![t < - 3 \:](https://tex.z-dn.net/?f=t%20%3C%20%20-%203%20%5C%3A)
</h3>
or
<h3>
![t > \frac{7}{3}](https://tex.z-dn.net/?f=t%20%3E%20%20%5Cfrac%7B7%7D%7B3%7D%20)
</h3>