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lyudmila [28]
3 years ago
15

What is the formula for ANOVA

Mathematics
1 answer:
Sergio039 [100]3 years ago
8 0
P = 3
n = 5
N = 15
<span><span><span>x </span><span>¯ </span></span> </span> = 16
<span><span>SST</span> </span>  = <span><span>∑n(x−<span><span>x </span><span>¯ </span></span><span><span>) </span><span>2 </span></span></span> </span>
<span><span>SST</span> </span> = <span><span>5(12−16<span><span>) </span><span>2 </span></span>+5(16−16<span><span>) </span><span>2 </span></span>+11(20−16<span><span>) </span><span>2 </span></span></span> </span>
= 160
<span><span>MST</span> </span> = <span><span><span><span>SST</span><span>p−1</span> </span> </span> </span>
<span><span>MST</span> </span> = <span><span><span>160<span>3−1</span> </span> </span> </span>
= 80
<span><span>SSE</span> </span> = <span><span>∑(n−1)<span><span>S </span><span>2 </span></span></span> </span>
SSE = 4*4 + 4*1 + 4*16
= 84
<span><span>MSE</span> </span> = <span><span><span><span>SSE</span><span>N−p</span> </span> </span> </span>
<span><span>MSE</span> </span> = <span><span><span>84<span>15−3</span> </span> </span> </span>
MSE = 7
<span>F </span> = <span><span><span><span>MST</span><span>MSE</span> </span> </span> </span>
<span>F </span> = <span><span><span>807 </span> </span> </span>
= 11.429
 

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Answer:

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7. Left side = 5 cm, Bottom side = 12 cm, Right side = 4 cm, Top side = 13 cm

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Step-by-step explanation:

1. Label the dimensions of the prism:

Left side = 3 inches

Bottom side = 4 inches

Right side = 2 inches

Top side = 5 inches

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Formula:

LH = A (Length x Height = Area)

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LH = A (Length x Height = Area)

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4. Area of the green rectangle:

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LH = A (Length x Height = Area)

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Formula:

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Left side = 5 cm

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Right side = 4 cm

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First, we can find the area of each shape, as we had previously to find the total area of the net and the surface area of the triangular prism.

Area of the red rectangle:

Formula:

LH = A (Length x Height = Area)

A = 5 x 4

A = 20 cm²

Area of the blue rectangle:

Formula:

LH = A (Length x Height = Area)

A = 12 x 4

A = 48 cm²

Area of the green rectangle:

Formula:

LH = A (Length x Height = Area)

A = 13 x 4

A = 52 cm²

Area of the yellow triangles:

Formula:

2 (1/2 Bh) (2 (half of base x height))

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A = 60 cm²

Total surface area of the triangular prism:

LH + LH + LH + 2 (1/2 Bh) = Surface Area of the triangular prism (Area of the red rectangle + Area of the blue rectangle + Area of the green rectangle + Area of the yellow triangles = Total surface area of the triangular prism)

A = 20 cm² + 48 cm² + 52 cm² + 60 cm²

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