Answer:
Step-by-step explanation:
we are given the angles of XYR = 40, ZXY = 130, and SRY = 40 degrees.
angle ZXY is half of angle ZAY, so angle ZXY is 65 degrees.
imagine a line XA (not on the diagram). then ZXA is 32.5 degrees since it is half of YXZ. Angle XZA and ZXA are equal, so XZA is 32.5 degrees. RZA = XZA + RZX = 32.5 + 40 degrees (assuming the upper left stated degree belongs to angle XZA), or simply RZA is 72.5 degrees.
since ZRA = RZA, then ZRA is 72.5 degrees. since angle ZRS = SRY + ZRA, finally ZRA = 40 + 72.5 degrees or simply, ZRS = 112.5 degrees. which visually is blantantly wrong as it appears to be less than 90 degrees.
5)
![\bf \begin{array}{|cc|cccc|ll} \cline{1-6} sodas&x&\underline{24}&28&\underline{32}&36\\ \cline{1-6} cost&y&\underline{18}&21&\underline{24}&27\\ \cline{1-6} \end{array}~\hspace{9em} (\stackrel{x_1}{24}~,~\stackrel{y_1}{18})\qquad (\stackrel{x_2}{32}~,~\stackrel{y_2}{24}) \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{24-18}{32-24}\implies \cfrac{6}{8}\implies \cfrac{3}{4}](https://tex.z-dn.net/?f=%5Cbf%20%5Cbegin%7Barray%7D%7B%7Ccc%7Ccccc%7Cll%7D%20%5Ccline%7B1-6%7D%20sodas%26x%26%5Cunderline%7B24%7D%2628%26%5Cunderline%7B32%7D%2636%5C%5C%20%5Ccline%7B1-6%7D%20cost%26y%26%5Cunderline%7B18%7D%2621%26%5Cunderline%7B24%7D%2627%5C%5C%20%5Ccline%7B1-6%7D%20%5Cend%7Barray%7D~%5Chspace%7B9em%7D%20%28%5Cstackrel%7Bx_1%7D%7B24%7D~%2C~%5Cstackrel%7By_1%7D%7B18%7D%29%5Cqquad%20%28%5Cstackrel%7Bx_2%7D%7B32%7D~%2C~%5Cstackrel%7By_2%7D%7B24%7D%29%20%5C%5C%5C%5C%5C%5C%20slope%20%3D%20m%5Cimplies%20%5Ccfrac%7B%5Cstackrel%7Brise%7D%7B%20y_2-%20y_1%7D%7D%7B%5Cstackrel%7Brun%7D%7B%20x_2-%20x_1%7D%7D%5Cimplies%20%5Ccfrac%7B24-18%7D%7B32-24%7D%5Cimplies%20%5Ccfrac%7B6%7D%7B8%7D%5Cimplies%20%5Ccfrac%7B3%7D%7B4%7D)
6)
![\bf \begin{array}{|cc|cc|ll} \cline{1-4} year&x&0&12\\ \cline{1-4} \$&y&720&1080\\ \cline{1-4} \end{array}~\hspace{10em} (\stackrel{x_1}{0}~,~\stackrel{y_1}{720})\qquad (\stackrel{x_2}{12}~,~\stackrel{y_2}{1080}) \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{1080-720}{12-0}\implies \cfrac{360}{12}\implies \cfrac{30}{1}\implies 30](https://tex.z-dn.net/?f=%5Cbf%20%5Cbegin%7Barray%7D%7B%7Ccc%7Ccc%7Cll%7D%20%5Ccline%7B1-4%7D%20year%26x%260%2612%5C%5C%20%5Ccline%7B1-4%7D%20%5C%24%26y%26720%261080%5C%5C%20%5Ccline%7B1-4%7D%20%5Cend%7Barray%7D~%5Chspace%7B10em%7D%20%28%5Cstackrel%7Bx_1%7D%7B0%7D~%2C~%5Cstackrel%7By_1%7D%7B720%7D%29%5Cqquad%20%28%5Cstackrel%7Bx_2%7D%7B12%7D~%2C~%5Cstackrel%7By_2%7D%7B1080%7D%29%20%5C%5C%5C%5C%5C%5C%20slope%20%3D%20m%5Cimplies%20%5Ccfrac%7B%5Cstackrel%7Brise%7D%7B%20y_2-%20y_1%7D%7D%7B%5Cstackrel%7Brun%7D%7B%20x_2-%20x_1%7D%7D%5Cimplies%20%5Ccfrac%7B1080-720%7D%7B12-0%7D%5Cimplies%20%5Ccfrac%7B360%7D%7B12%7D%5Cimplies%20%5Ccfrac%7B30%7D%7B1%7D%5Cimplies%2030)
7)
slope as you should already know is rise/run, or how much something moves in relation something else, namely how much the y-axis go up as the x-axis moves sideways, one moves, the other follows, but the increments will be different, sometimes the same, but usually different.
the y-intercept means, when the graph of the equation touches or intercepts the y-axis, and when that happens x = 0, or the horizontal distance is at bay.
for the slope on 6), 30 or 30/1 means, for every 1 year(x) passed, the worth(y) increased by 30, or jumped by 30 units, so as the x-axis moved 1, the y-axis moved 30. After 12 years 30 * 12 = 360, and we add the initial 720 and we end up with 1080.
the y-intercept, well, as aforementioned is when x = 0, is year 0.
The slope is 2 over 1 it wouldnt be B because the point isnt 5 so im gguessing that it would be D
Experimental data are collected as: x[100]={1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 2
saul85 [17]
Answer:
y = 1.754 + 1.001 x
Step-by-step explanation:
The equation of Regression equation is of the form of:
y = a + bx
where, a is intercept and b is slope
The formula for a and b is given by,
![a = \frac{\sum Y \sum X^2- \sum X \sum XY}{n\sum X^2-(\sum X)^2} \\and, b = \frac{n\sum XY - \sum X \sum Y}{n\sum X^2-(\sum X)^2}](https://tex.z-dn.net/?f=a%20%3D%20%5Cfrac%7B%5Csum%20Y%20%5Csum%20X%5E2-%20%5Csum%20X%20%5Csum%20XY%7D%7Bn%5Csum%20X%5E2-%28%5Csum%20X%29%5E2%7D%20%5C%5Cand%2C%20b%20%3D%20%5Cfrac%7Bn%5Csum%20XY%20-%20%5Csum%20X%20%5Csum%20Y%7D%7Bn%5Csum%20X%5E2-%28%5Csum%20X%29%5E2%7D)
Thus, a = 1.754
and b = 1.001
Thus, Regression Line is given by,
y = 1.754 + 1.001 x
Now plotting these line:
$24.50 is her hourly rate. Her overtime rate is $36.75. She earned $1,837.50 for five hours.