Answer:
61°
Step-by-step explanation:
Alright so the total amount of degrees in a 5-sided shape or pentagon is 540°. Since we have four of the five total angles, we can solve for the last one.
Sum of all the degrees of all five angles = 540°
The variable x is representing our last unknown degree.
90° + 107° + 144° + 138° + x° = 540°
Add up all the known degrees and solve for x.
479° + x° = 540°
Subtract 479 on both sides so that we can isolate x.
479° + x° - 479° = 540° - 479°
x° = 61°
So our final answer is 61°
Answer:
slope: -1
y-intercept: 6
Step-by-step explanation:
y-intercept is when x is 0 so it's 8 and the slope can be found using the slope formula (y2-y1)/(x2-x1)
(6-8)/(0 - (-2)) = -2/2 = -1
Standard deviation is calculated by
1. calculate mean, m
2. calculate deviation of EACH entry of data set from the mean, i.e.
d=(x-m)
3. calculate mean of square of deviations (d^2)/n to get variance,v
4. take square-root of variance to get standard deviation.
For example,
To find the standard deviation of data set {3,7,8}
1. mean=(3+7+8)/3=6
2. deviations, di={3-6,7-6,8-6}={-3,1,2}
3. squares of deviations, di^2={9,1,4}
4. mean of squares of deviations=(9+1+4)/3=14/3
Standard deviation=sqrt(14/3)=2.16
For the given data set, if you follow the above steps, you would get
sum=400
mean=400/9
variance (mean square of deviations)=8246/81
standard deviation=sqrt(8246/81)=sqrt(8246)/9
