Answer:
A (-1,-6)
Step-by-step explanation:
A system of equations is a set of two or more equations which intersect at a point (x,y). This is the solution. Any system can be solved using graphing, elimination or substitution. To solve this system of equations, use elimination. Line up each variable and subtract the like terms.
2x - 3y = 16
5x - 3y = 13
---------------------
-3x = 3
x = -1
Substitute x = -1
2(-1) - 3y = 16
-2 - 3y = 16
-3y = 18
y = -6
Answer:
1st one is cluster 2nd is outliers 3rd is neither and 4th is outliers.
Step-by-step explanation:
Answer:
To create a trinomial square on the left side of the equation, find a value that is equal to the square of half of
b
.
(
b
2
)
2
=
(
−
3
)
2
Add the term to each side of the equation.
x
2
−
6
x
+
(
−
3
)
2
=
22
+
(
−
3
)
2
Simplify the equation.
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x
2
−
6
x
+
9
=
31
Factor the perfect trinomial square into
(
x
−
3
)
2
.
(
x
−
3
)
2
=
31
Solve the equation for
x
.
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x
=
±
√
31
+
3
The result can be shown in multiple forms.
Exact Form:
x
=
±
√
31
+
3
Decimal Form:
x
=
8.56776436
…
,
−
2.56776436
…
Step-by-step explanation:
thats took a while lol
Answer:
The minimum percentage of stores that sell a gallon of milk for between $3.65 and $4.17 is of 75%.
Step-by-step explanation:
Chebyshev Theorem
The Chebyshev Theorem can also be applied to non-normal distribution. It states that:
At least 75% of the measures are within 2 standard deviations of the mean.
At least 89% of the measures are within 3 standard deviations of the mean.
An in general terms, the percentage of measures within k standard deviations of the mean is given by 
.
In this question:
We have a mean of $3.91 and a standard deviation of $0.13.
Using Chebyshev's Theorem, what is the minimum percentage of stores that sell a gallon of milk for between $3.65 and $4.17?
3.65 = 3.91 - 2*0.13
4.17 = 3.91 + 2*0.13
Within 2 standard deviations of the mean, so, by the Chebyshev's Theorem, the minimum percentage of stores that sell a gallon of milk for between $3.65 and $4.17 is of 75%.
Answer:
Use the cosine rule
Step-by-step explanation:
1. Apply formula of c^2 = a^2 + b^2 - 2abcosC
2. Substitute known values in: c^2 = 36 + 4900 - 840cos120
3. Apply algebra and use the calculator
4. Final answer is 73.18 (2 decimal places)
