Answer:
Step-by-step explanation:270 ez
surface area (S) of a right rectangular solid is:
S = 2*L*W + 2*L*H + 2*W*H (equation 1)
where:
L = length
W = width
H = height
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you have:
L = 7
W = a
H = 4
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formula becomes:
S = 2*7*a + 2*7*4 + 2*a*4
simplify:
S = 14*a + 56 + 8*a
combine like terms:
S = 22*a + 56
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answer is:
S = 22*a + 56 (equation 2)
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to prove, substitute any value for a in equation 2:
let a = 15
S = 22*a + 56 (equation 2)
S = 22*15 + 56
S = 330 + 56
S = 386
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since a = 15, then W = 15 because W = a
go back to equation 1 and substitute 15 for W:
S = 2*L*W + 2*L*H + 2*W*H (equation 1)
where:
L = length
W = width
H = height
-----
you have:
L = 7
W = 15
H = 4
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equation 1 becomes:
S = 2*7*15 + 2*7*4 + 2*15*4
perform indicated operations:
S = 210 + 56 + 120
S = 386
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surface area is the same using both equations so:
equations are good.
formula for surface area of right rectangle in terms of a is:
S = 22*a + 56
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Answer:
0.60 gal to 0.12 gal can be rewritten as:
Answer:
The sampling distribution is, p = center = 0.043
The standard deviation of the sample, s = 6.0015×10⁻⁴
The shape is normal
Step-by-step explanation:
Here we have the standard deviation of a sample proportion, given by the following relation;
The center = p = 4.3% or 0.043
The shape is found by the value of n×p hence;
114250 × 0.043 = 4912.75 > 10 and
n(1 - p) = 114250 × (1 - 0.043) = 109337.25 also > 10 hence the shape is normal.
A value equal to -(-3.7) is 3.7
The negative signs outside and inside zero out each other, which means you will get a positive. Think of (negative) as opposite. The opposite of an opposite will cancel out and give you what you had.
