Answer:
c
Step-by-step explanation:
360 is a full rotation and 90 is a quarter
Note that m∠4 and m∠1 are vertical angles, and so they would have the same measurements (same for m∠3 & m∠2). Note that m∠1 and m∠2 are supplementary angles (going to have a total measurement of 180°)
m∠2 = 50° (given)
m∠1 + m∠2 = 180
m∠1 + 50 = 180
Isolate m∠1. Note the equal sign. What you do to one side you do to the other. Subtract 50 from both sides
m∠1 + 50 (-50) = 180 (-50)
m∠1 = 180 - 50
m∠1 = 130°
m∠1 = 130° is your answer
hope this helps
What questions? Idk where the pic is
Answer:
(a) Mean = 36.05; (b) median = 37; (c) mode = 37
Step-by-step explanation:
I am assuming your DFT is like this:
![\begin{array}{c|c}\textbf{n} & \textbf{Frequency} \\33 & 0 \\34 & 3 \\35 & 3 \\36 & 3 \\37 & 10 \\\end{array}](https://tex.z-dn.net/?f=%5Cbegin%7Barray%7D%7Bc%7Cc%7D%5Ctextbf%7Bn%7D%20%26%20%5Ctextbf%7BFrequency%7D%20%5C%5C33%20%26%200%20%5C%5C34%20%26%203%20%5C%5C35%20%26%203%20%5C%5C36%20%26%203%20%5C%5C37%20%26%2010%20%5C%5C%5Cend%7Barray%7D)
(a) Mean
The mean is the sum of all the data points divided by the number of points. I have done some of the calculations for you in the table below
![\begin{array}{cccc}\textbf{n} & \textbf{f} & \mathbf{n\cdot f} & \mathbf{cf}\\33 & 0 & 0 &0 \\34 & 3&102 &3 \\35 & 3& 105 & 6\\36 & 3 &108 & 9\\37& 10& 370 & 19\\\textbf{SUM} & \mathbf{19}&\mathbf{685} \\\end{array}](https://tex.z-dn.net/?f=%5Cbegin%7Barray%7D%7Bcccc%7D%5Ctextbf%7Bn%7D%20%26%20%5Ctextbf%7Bf%7D%20%26%20%5Cmathbf%7Bn%5Ccdot%20f%7D%20%26%20%5Cmathbf%7Bcf%7D%5C%5C33%20%26%200%20%26%200%20%260%20%5C%5C34%20%26%203%26102%20%263%20%5C%5C35%20%26%203%26%20105%20%26%206%5C%5C36%20%26%203%20%26108%20%26%209%5C%5C37%26%2010%26%20370%20%26%2019%5C%5C%5Ctextbf%7BSUM%7D%20%26%20%5Cmathbf%7B19%7D%26%5Cmathbf%7B685%7D%20%5C%5C%5Cend%7Barray%7D)
![\begin{array}{rcl}\text{Mean} & = & \dfrac{\sum n}{n}\\\\& = & \dfrac{685}{19}\\\\& = & \mathbf{36.05}\\\end{array}](https://tex.z-dn.net/?f=%5Cbegin%7Barray%7D%7Brcl%7D%5Ctext%7BMean%7D%20%26%20%3D%20%26%20%5Cdfrac%7B%5Csum%20n%7D%7Bn%7D%5C%5C%5C%5C%26%20%3D%20%26%20%5Cdfrac%7B685%7D%7B19%7D%5C%5C%5C%5C%26%20%3D%20%26%20%5Cmathbf%7B36.05%7D%5C%5C%5Cend%7Barray%7D)
(b) Median
The median is the middle value in your list of observations.
Your data set contains 19 terms, so the middle is (19/2)th term.
Count down the column of cumulative frequency (cf) until cf = 9½.
The 9½th term is 37.
Median = 37
(c) Mode
The mode is the value that appears most often in your list of observations.
It is obvious from your table that the number that occurs most frequently is 37.
Mode = 37
The diagram below shows that the score of 37 is predominant.
Answer: <em>the answer would be</em> <em>C</em>, 12.