Answer:
12° and 168°
Step-by-step explanation:
If x is the angle, and y is the supplementary angle, then:
x + y = 180
x = y − 156
Solve the system of equations using substitution:
y − 156 + y = 180
2y = 336
y = 168
Plug back into either equation to find x:
x = 12
Answer:
follows are the solution to this question:
Step-by-step explanation:
Please find the correct question in the attached file:
The formula for calculating the Confidence interval of proportion:
![\to CI=\hat{p} \pm Z_{\frac{\alpha}{2}} \sqrt{\frac{\hat{p}(1-\hat{p})}{n}}\\\\\to \hat{p}=\frac{\text{lower limit +upper limit}}{2}\\](https://tex.z-dn.net/?f=%5Cto%20CI%3D%5Chat%7Bp%7D%20%5Cpm%20Z_%7B%5Cfrac%7B%5Calpha%7D%7B2%7D%7D%20%5Csqrt%7B%5Cfrac%7B%5Chat%7Bp%7D%281-%5Chat%7Bp%7D%29%7D%7Bn%7D%7D%5C%5C%5C%5C%5Cto%20%20%5Chat%7Bp%7D%3D%5Cfrac%7B%5Ctext%7Blower%20limit%20%2Bupper%20limit%7D%7D%7B2%7D%5C%5C)
![=\frac{0.48+0.60}{2}\\\\=\frac{1.08}{2}\\\\=0.54](https://tex.z-dn.net/?f=%3D%5Cfrac%7B0.48%2B0.60%7D%7B2%7D%5C%5C%5C%5C%3D%5Cfrac%7B1.08%7D%7B2%7D%5C%5C%5C%5C%3D0.54)
The number of learners with access to working at home on a computer:
![= 0.54 \times 300 \\\\=162](https://tex.z-dn.net/?f=%3D%200.54%20%5Ctimes%20300%20%5C%5C%5C%5C%3D162)
Lower limit =0.48
upper limit = 0.60
![\to margin \ error = \frac{\text{upper limit - lower limit}}{2}\\](https://tex.z-dn.net/?f=%5Cto%20margin%20%5C%20error%20%3D%20%5Cfrac%7B%5Ctext%7Bupper%20limit%20-%20lower%20limit%7D%7D%7B2%7D%5C%5C)
![=\frac{0.60-0.48}{2}\\\\=\frac{0.12}{2}\\\\= 0.06](https://tex.z-dn.net/?f=%3D%5Cfrac%7B0.60-0.48%7D%7B2%7D%5C%5C%5C%5C%3D%5Cfrac%7B0.12%7D%7B2%7D%5C%5C%5C%5C%3D%200.06)
Answer:
Step-by-step explanation:
Say that your equation is 2x+4=8, x=2
you would plug in the 2 where your x is so, 2(2) +4=8
then you'd solve regularly.
Hope my answer has helped you!
Answer:
3/4
Step-by-step explanation:
2/3a-1/6=1/3
2/3a=1/3+1/6
2/3a=3/6
2/3a=1/2
a=1/2X3/2
a=3/4
Answer:
![y = 0.7063x+2.7790](https://tex.z-dn.net/?f=y%20%3D%200.7063x%2B2.7790)
Step-by-step explanation:
Given that
![x bar = 3.6667\\s_x= 2.0656\\y bar = 4.2167\\s_7 = 1.5613\\r = -0.9344](https://tex.z-dn.net/?f=x%20bar%20%3D%203.6667%5C%5Cs_x%3D%202.0656%5C%5Cy%20bar%20%3D%204.2167%5C%5Cs_7%20%3D%201.5613%5C%5Cr%20%3D%20-0.9344)
We have slope of linear regression line is
![a=r*\frac{s_y}{s_x} =0.9344(\frac{1.5613}{2.0656} )\\=0.7063](https://tex.z-dn.net/?f=a%3Dr%2A%5Cfrac%7Bs_y%7D%7Bs_x%7D%20%3D0.9344%28%5Cfrac%7B1.5613%7D%7B2.0656%7D%20%29%5C%5C%3D0.7063)
So regression line would be of the form
(since it passes through xbar, y bar)
![y = 0.7063x+2.7790](https://tex.z-dn.net/?f=y%20%3D%200.7063x%2B2.7790)
is the equation of regression line.