Answer:
<em>m </em>=<em> </em>1/2
Step-by-step explanation:
Use two points on the line given.
(0 , 2) & (-4 , 0)
You are solving for the slope. The slope formula:
<em>m</em> (slope) = (y₂ - y₁)/(x₂ - x₁)
Let:
(x₁ , y₁) = (-4 , 0)
(x₂ , y₂) = (0 , 2)
Plug in the corresponding numbers to the corresponding variables:
<em>m</em> = (2 - 0)/(0 - (-4))
Simplify:
<em>m</em> = (2)/( 0 - (-4))
<em>m</em> = (2)/(0 + 4)
<em>m</em> = 2/4
Simplify the slope. Divide the common factor 2 from both the numerator and denominator:
<em>m</em> = (2/4)/(2/2) = 1/2
1/2 is your slope.
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Answer:
F statistic = 11.3 ;
-1.02
Step-by-step explanation:
____Location1(%C) ____ Location2(%C)
1 ______ 10.40 _________ 10.10
2 _____ 10.20 _________ 10.90
3 ______10.30 _________ 10.20
4 ______10.40 _________ 10.70
5 ______10.20 _________ 10.40
F = larger sample variance / smaller sample variance
Using calculator :
Sample standard deviation (s)
s1² = 0.01
s2² = 0.113
F = s2² / s1²
F = 0.113 / 0.01
F = 11.3
Yes, the two standard deviations for the locations are significantly different at the 95% confidence level.
B.)
Tvalue
x1 = 10.3 ; x2 = 10.46
μ1 = 10.30 ; μ2 = 10.46
(10.30 - 10.46) / sqrt[(0.01/5) + (0.113/5)]
-0.16 / 0.1568438
-1.02
Answer:
a = b/4
Step-by-step explanation:
Note that the LCD in this equation is 6. Rewriting 2a-b/6 = b/3 using this LCD, we get:
2a-b/6 = 2b/6
Multiplying all three terms by 6 eliminates the fractions:
12a - b = 2b
Combining like terms:
12a = 3b
3b
Solving this for a, we get a = ------------ = b/4
12
a = b/4
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