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.
One whole jar= 3/3 or 1
Set up a ratio comparing the two sets of measurements.
2 2/4 ounces of peanuts is to 2/3 of a jar as x ounces of peanuts is to 3/3 of a jar.
x= ounces in 1 whole jar
2 2/4 / 2/3= x / 3/3
cross multiply
(2 2/4 * 3/3)= (2/3 * x)
convert to improper fractions
10/4 * 3/3= 2/3x
multiply numerators; multiply denominators
(10*3)/(4*3)= 2/3x
30/12= 2/3x
divide both sides by 2/3
30/12 ÷ 2/3= x
to divide fractions, multiply by the reciprocal/inverse of 2/3
30/12 * 3/2= x
multiply numerators; multiply denominators
(30*3)/(12*2)= x
90/24= x
simplify by 6
15/4 or 3 3/4 ounces= x
ANSWER: 3 3/4 ounces can make a full jar.
Hope this helps! :)
This is a formula if you need one. DON'T forget to cross-multiply
3/4 = x/12
I think we can use the identity sin x/2 = sqrt [(1 - cos x) /2]
cos x - sqrt3 sqrt ( 1 - cos x) /sqrt2 = 1
cos x - sqrt(3/2) sqrt(1 - cos x) = 1
sqrt(3/2)(sqrt(1 - cos x) = cos x - 1 Squaring both sides:-
1.5 ( 1 - cos x) = cos^2 x - 2 cos x + 1
cos^2 x - 0.5 cos x - 0.5 = 0
cos x = 1 , -0.5
giving x = 0 , 2pi, 2pi/3, 4pi/3 ( for 0 =< x <= 2pi)
because of thw square roots some of these solutions may be extraneous so we should plug these into the original equations to see if they fit.
The last 2 results dont fit so the answer is x = 0 , 2pi Answer
Because it has already been factored, we can solve it straight away. Now, since m is a variable, we yield the same result if m = 0 or m = 3 because we have two components to this equation.
We can either have m = 0 or m - 3 = 0
Hence, m is either 0 or 3
