Answer:
Step-by-step explanation:
x+y = 6
y = (6-x)
7x +12y = 52
7x+12(6-x) = 52
7x +72 -12x = 52
-5x = -20
x= 4 4 days at $7 = $28
2 days at $12 = $24
28+24 = 52
Answer:
x=2
Step-by-step explanation:
28−(3x+4)=2(x+6)+x
We need to use the distributive property for the right side.
28−3x−4=(2)(x)+(2)(6)+x)
28−3x−4=2x+2+x
−3x+24=3x+12
From here we need to subtract 3x from both side.
−3x+24−3x=3x+12−3x
6x+24=12
Transfer +24 on the right side.
6x=12−24
6x=−12
Finally, divide both sides by −6
6x/-6 = -12/-6
x=2
Answer:
The test statistic for this test is 3.82.
Step-by-step explanation:
The null hypothesis is:
The alternate hypotesis is:
Our test statistic is:
In which X is the sample mean, 
is the value tested at the null hypothesis, 
is the standard deviation of the population and n is the size of the sample.
In this question:
So
The test statistic for this test is 3.82.
Some basic formulas involving triangles
\ a^2 = b^2 + c^2 - 2bc \textrm{ cos } \alphaa 2 =b 2+2 + c 2
−2bc cos α
\ b^2 = a^2 + c^2 - 2ac \textrm{ cos } \betab 2=
m_b^2 = \frac{1}{4}( 2a^2 + 2c^2 - b^2 )m b2 = 41(2a 2 + 2c 2-b 2)
b
Bisector formulas
\ \frac{a}{b} = \frac{m}{n} ba =nm
\ l^2 = ab - mnl 2=ab-mm
A = \frac{1}{2}a\cdot b = \frac{1}{2}c\cdot hA=
\ A = \sqrt{p(p - a)(p - b)(p - c)}A=
p(p−a)(p−b)(p−c)
\iits whatever A = prA=pr with r we denote the radius of the triangle inscribed circle
\ A = \frac{abc}{4R}A=
4R
abc
- R is the radius of the prescribed circle
\ A = \sqrt{p(p - a)(p - b)(p - c)}A=
p(p−a)(p−b)(p−c)
