Answer:
s = [(4-6)^2 + (7-6)^2 + (4-6)^2 + (10-6)^2 + (5-6)^2] / 5
Step-by-step explanation:
Given the data:
Number of miles biked each day:
X = 4, 7, 4, 10, 5
The mean of data :
Mean(m) = (sum of X) / n
Where n is the number of observations or days
m = (4 + 7 + 4 + 10 +5) / 5
m = 30 / 5
m = 6
The variance of the data (s):
s = [Sum of (x - m)^2] / n
s = [(4-6)^2 + (7-6)^2 + (4-6)^2 + (10-6)^2 + (5-6)^2] / 5
Where s = variance, m = mean, x = data values
To find an outlier, multiply the IQR by 1.5
172,500 * 1.5 = 258,750
now, u add that to Q3.....545,000 + 258,750 = 803,750....anything above this number is an outlier
now,u subtract that from Q1....372,500 - 258,750 = 113,750....anything below that is an outlier
u have already done this...u have found the higher end and the lower end....so anyting larger then the higher end or lower then the lower end is ur outlier
so in ur data, there is only 1 outlier and that is 933.....130 is not an outlier because it is not less then 113,750.
Answer:
10
3.59
6 7/12
Step-by-step explanation:
4 - (-6)
= 4+ 6 ( because when we multiply the negative sign with the negative sign we get a positive sign or a plus sign)
= 10
-2.5 + 6.1 -10.3 - (-7.79) -4 + 6 1/2
= -2.5 + 6.1 -10.3 +7.79 -4 + 6.5 [ (-*-=+) ( converting 6 1/2 into decimal = 6.5)]
= 6.1+7.79+ 6.5 -2.5 -10.3-4 { adding the + numbers and - numbers separately}
= 20.39 - 16.8 { subtracting the totals of + and - numbers}
= 3.59
8 5/6 + (-2 1/4)
= 53/6 - 9/4 { Converting into improper fractions}
= 53( 2) - 9(3)/12 { Taking LCM = 12}
= 106-27/12
= 79/12
= 6 7/12
{ Converting into improper fractions and vice versa}
- we multiply the denominator with the whole number and add it to the numerator to get the improper fraction.( 8 5/6= 53/6)
- we divide the numerator with the denominator the answer gives the whole number and the remainder gives the numerator of the proper fraction. ( 79/12 = 6 7/12)
{ Taking LCM = 12}
Factors of 6 are 3 and <u>2</u>
Factors of 4 are 2 and <u>2</u>
Least Common Multiple is taking the common factors and multiplying it with the rest . 2 is common in both . It will be taken once and then multiplied with the other 2 and 3 so we get
LCM = 2*2*3= 12
Answer:
x = 18.5
Step-by-step explanation:
tangent is opposite over adjacent
tan 51 = x/15
solve for x
be sure your calculator is in Degree mode.
x = tan 51 * 15
