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kirill115 [55]
3 years ago
13

Using the formula below, calculate the z-score for the listed data points. z-score: zx = x − μ σz1= z5=z6.5=

Mathematics
2 answers:
Pani-rosa [81]3 years ago
7 0

<span>z1 = </span> -1.95

<span>z5 = </span> 0.05

<span>z6.5 = 0.8</span>

stich3 [128]3 years ago
3 0

Answer:

z1 =  -1.95

z5 =  0.05  

z6.5 = 0.8

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A company is constructing an​ open-top, square-based, rectangular metal tank that will have a volume of 49 cubic feet. What dime
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Answer:

b = 4.6 ft

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Step-by-step explanation:

The volume of the tank is given by:

b^2*h=49

Where 'b' is the length of the each side of the square base, and 'h' is the height of the tank.

The surface area can be written as:

A=b^2+4bh\\A=b^2+4b*({\frac{49}{b^2}})\\A=b^2+\frac{196}{b}

The value of b for which the derivate of the expression above is zero is the value that yields the minimum surface area:

\frac{dA}{db} =0=2b-\frac{196}{b^2}\\2b^3=196\\b=4.61\ ft

The value of h is then:

h=\frac{49}{4.61^2}\\h=2.31\ ft

Rounded to the nearest tenth, the dimensions are b = 4.6 ft and h = 2.3 ft.

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