Answer:
÷(-2)
Step-by-step explanation:
200÷(-2)=(-100)
-100÷(-2)=50
50÷(-2)=(-25)
Options:
A. Null hypothesis : u>30 Alternative hypothesis :u<30
B. Null hypothesis :u>30 Alternative hypothesis :u=30
C. Null hypothesis :u=30 Alternative hypothesis :u≠30
D. Null hypothesis:u=30 Alternative hypothesis :u>30
Answer:
D. Null hypothesis:u=30 Alternative hypothesis:u>30
Explanation:
The null and alternative hypotheses are hypotheses test made to decide on the value of a population parameter using sample data. They are statements that are mutually exclusive(only one can be true). Therefore the null hypothesis which is the hypothesis being tested becomes true if the alternative hypothesis(everything else that is not the null hypothesis) is false. The null hypothesis assumes that the researcher is wrong as in the above statements while the alternative hypothesis states that the researcher is right.
Answer: The dimensions are: " 1.5 mi. × ³⁄₁₀ mi. " .
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{ length = 1.5 mi. ; width = ³⁄₁₀ mi. } .
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Explanation:
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Area of a rectangle:
A = L * w ;
in which: A = Area = (9/20) mi.² ,
L = Length = ?
w = width = (1/5)*L = (L/5) = ?
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A = L * w ; we want to find the dimensions; that is, the values for
"Length (L)" and "width (w)" ;
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Plug in our given values:
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(9/20) mi.² = L * (L/5) ; in which: "w = L/5" ;
→ (9/20) = (L/1) * (L/5) = (L*L)/(1*5) = L² / 5 ;
↔ L² / 5 = 9/20 ;
→ (L² * ? / 5 * ?) = 9/20 ?
→ 20÷5 = 4 ; so; L² *4 = 9 ;
↔ 4 L² = 9 ;
→ Divide EACH side of the equation by "4" ;
→ (4 L²) / 4 = 9/4 ;
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to get: → L² = 9/4 ;
Take the POSITIVE square root of each side of the equation; to isolate "L" on one side of the equation; and to solve for "L" ;
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→ ⁺√(L²) = ⁺√(9/4) ;
→ L = (√9) / (√4) ;
→ L = 3/2 ;
→ w = L/5 = (3/2) ÷ 5 = 3/2 ÷ (5/1) = (3/2) * (1/5) = (3*1)/(2*5) = 3/10;
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Let us check our answers:
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(3/2 mi.) * (3/10 mi.) =? (9/20) mi.² ??
→ (3/2)mi. * (3/10)mi. = (3*3)/(2*10) mi.² = 9/20 mi.² ! Yes!
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So the dimensions are:
Length = (3/2) mi. ; write as: 1.5 mi.
width = ³⁄₁₀ mi.
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or; write as: " 1.5 mi. × ³⁄₁₀ mi. " .
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Answer:
(2, 8).
Step-by-step explanation:
(x - 2)^2 + (y - 6)^2 = 4
If x = 2 and y = 8 we have:
(2 - 2)^2 + (8 - 6)^2
= 0 + (2^2
= 4.
So it passes through the point (2,8).
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