The answer is: 3.91 inches .
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Note: Volume of cylinder: V = (base area) * (height);
in which: V = volume = 384 in.³ ;
h = height = 8 in. ;
Base area = area of the base (that is; "circle") = π r² ;
in which; "r" = radius;
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Solve for "r" :
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V = π r² * (8 in.) ;
384 in.³ = (8 in.) * (π r²) ;
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Divide EACH SIDE of the equation by "8" ;
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(384 in.³) / 8 = [ (8 in.) * (π r²) in.] / 8 ;
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to get:
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48 in.³ = (π r²) in.² * in. ;
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↔ (π r²) in.² * in. = 48 in.³ ;
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Rewrite this equation; using "3.14" as an approximation for: π ;
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(3.14 * r²) in.² * in. = 48 in.³
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Divide EACH SIDE of the equation by:
"[(3.14)*(in.²)*(in.)]" ; to isolate "r² " on one side of the equation;
(since we want to solve for "r") ;
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→ [(3.14 * r²) in.² * in.] / [(3.14)*(in.²)*(in.)] = 48 in.³ / [(3.14)*(in.²)*(in.)] ;
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→ to get: r² = 48/3.14 ;
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→ r² = 15.2866242038216561 ;
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To solve for "r" (the radius; take the "positive square root" of EACH side of the equation:
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→ +√(r²) = +√(15.2866242038216561)
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→ r = 3.9098112747064475286 ; round to 3.91 inches .
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-14 < v - 11 ≤ - 7
Add 11 to both sides:
-3 < v ≤ 4
o---------------------------------------------------<span>■</span>
|-------|-------|-------|-------|-------|-------|-------|
-3 -2 -1 0 1 2 3 4
Answer:
Step-by-step explanation:The simplification
1+1×80+5-23+456×47+56784-2647
=1+80+5−23+(456)(47)+56784−2647
=81+5−23+(456)(47)+56784−2647
=86−23+(456)(47)+56784−2647
=63+(456)(47)+56784−2647
=63+21432+56784−2647
=21495+56784−2647
=78279−2647
=75632
Converting 75632 into standard form
Answer:
Scatter plot attached below.
Step-by-step explanation:
The correlation coefficient is a statistical degree that computes the strength of the linear relationship amid the relative movements of the two variables (i.e. dependent and independent).It ranges from -1 to +1.
If there is any alteration in the value of one variable, the value of the other variable is altered in a fixed proportion. The correlation amid them is known as perfect correlation.
In statistics, a perfect positive correlation is represented by +1 and -1 indicates a perfect negative correlation.
Negative correlation is a relationship amid two variables in which one variable rises as the other falls, and vice versa.
The scatter plot for the correlation between x and y closest to −1 is attached below.
