<em>A) 22cm</em>
<em>(</em><em> </em><em>divide the length value by 100</em><em>)</em>
<em>2</em><em>2</em><em>/</em><em>1</em><em>0</em><em>0</em><em> </em><em>which</em><em> </em><em>gives</em><em> </em><em>you</em><em>:</em>
<em><u>=</u></em><em><u>0.22m</u></em>
<em>B</em><em>)</em><em> </em><em>180km</em>
<em>(</em><em> </em><em>multiply the length value by </em><em>1000</em><em>)</em>
<em>1</em><em>8</em><em>0</em><em>×</em><em>+</em><em>1</em><em>0</em><em>0</em><em> </em><em>which</em><em> </em><em>gives</em><em> </em><em>you</em><em>:</em>
<em><u>=</u></em><em><u>180000m</u></em>
<em>C</em><em>)</em><em> </em><em>300mm</em>
<em>(</em><em> </em><em>divide the length value by 1000</em><em>)</em>
<em>3</em><em>0</em><em>0</em><em>/</em><em>1</em><em>0</em><em>0</em><em>0</em><em> </em><em>which</em><em> </em><em>gives</em><em> </em><em>you</em><em>:</em>
<em><u>=</u></em><em><u>0.3m</u></em>
<em> </em>
Answer: A: V is an acute angle, so it is less than 90 degrees. I would say it's around 45 degrees.
B: K is also an acute angle, but it is fairly close to being 90 degrees, so I'd say around 80 degrees.
C: Q is an obtuse angle, so it is over 90 degrees but less than 180 degrees. I would say it's around 110 degrees.
D: Y is an obtuse angle. It is very close to 180 degrees. I would say it's around 160 degrees.
Step-by-step explanation:
To make this new triangle I am going to pretend that the original triangle was at the points (4,4) (-4,4) and (0,8). So if this was dilated down by 1/2 then the triangles points would be (2,2) (-2,2) and (0,4). Then if it is reflected over the x-axis the new points would be (2,-2) (-2,-2) and (0,-4) and if it was translated left by 2 units then the points would be (0,-2) (-4,-2) and (-2, -4), then if the triangle was translated up by 4 units the points and the new triangle would be (0,2) (-4,2) and (-2,0). And that would be what the new triangle would be.
The triangle went from (4,4) (-4,4) and (0,8) to (0,2) (-4,2) and (-2,0).
C. 55%
The crusaders won 55% of 20 games
Answer:
a. The mean of the sample is M=35.
The variance of the sample is s^2=39.125.
The standard deviation of the sample is s=6.255.
b. z=-1.6
c. SEM = 2.212
Step-by-step explanation:
The mean of the sample is M=35.
The variance of the sample is s^2=39.125.
The standard deviation of the sample is s=6.255.
<u>Sample mean</u>
<u />
<u>Sample variance and standard deviation</u>
<u />![s^2=\dfrac{1}{(n-1)}\sum_{i=1}^{8}(x_i-M)^2\\\\\\s^2=\dfrac{1}{7}\cdot [(27-(35))^2+(25-(35))^2+(32-(35))^2+(40-(35))^2+(43-(35))^2+(37-(35))^2+(35-(35))^2+(38-(35))^2]\\\\\\](https://tex.z-dn.net/?f=s%5E2%3D%5Cdfrac%7B1%7D%7B%28n-1%29%7D%5Csum_%7Bi%3D1%7D%5E%7B8%7D%28x_i-M%29%5E2%5C%5C%5C%5C%5C%5Cs%5E2%3D%5Cdfrac%7B1%7D%7B7%7D%5Ccdot%20%5B%2827-%2835%29%29%5E2%2B%2825-%2835%29%29%5E2%2B%2832-%2835%29%29%5E2%2B%2840-%2835%29%29%5E2%2B%2843-%2835%29%29%5E2%2B%2837-%2835%29%29%5E2%2B%2835-%2835%29%29%5E2%2B%2838-%2835%29%29%5E2%5D%5C%5C%5C%5C%5C%5C)
![s^2=\dfrac{1}{7}\cdot [(58.141)+(92.641)+(6.891)+(28.891)+(70.141)+(5.64)+(0.14)+(11.39)]\\\\\ s^2=\dfrac{273.875}{7}=39.125\\\\\\s=\sqrt{39.125}=6.255](https://tex.z-dn.net/?f=s%5E2%3D%5Cdfrac%7B1%7D%7B7%7D%5Ccdot%20%5B%2858.141%29%2B%2892.641%29%2B%286.891%29%2B%2828.891%29%2B%2870.141%29%2B%285.64%29%2B%280.14%29%2B%2811.39%29%5D%5C%5C%5C%5C%5C%09%09%09%09%09%09%09%09%09%09%09%09s%5E2%3D%5Cdfrac%7B273.875%7D%7B7%7D%3D39.125%5C%5C%5C%5C%5C%5Cs%3D%5Csqrt%7B39.125%7D%3D6.255)
b. If the population mean is 45, the z-score for M=35 would be:
c. The standard error of the mean (SEM) of this group is calculated as:
