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arsen [322]
2 years ago
13

Gale wants to compare the cost of the events.

Mathematics
1 answer:
Lera25 [3.4K]2 years ago
8 0

#a

The table represents all possibilities.

  • Yes its possible .
  • The table may represent Aquarium fee more or least etc.

#b

The carnival always costs the least.

  • No its possible but not always .
  • Aquarium fee is 14.50 on the other hand carnival fee starts at 15.55.

#c

The aquarium always costs the move.

  • Impossiible

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Find the size of angle YZX
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21.001 cm

Step-by-step explanation:

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XY^2+XZ^2=ZY^2\\ \\7.5^2+XZ^2=22.3^2\\ \\XZ^2=22.3^2-7.5^2\\ \\XZ^2=(22.3-7.5)(22.3+7.5)\\ \\XZ^2=14.8\cdot 29.8\\ \\XZ^2=441.04\\ \\XZ=\sqrt{441.04}\approx 21.001\ cm

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Two gears in a machine are aligned by a mark drawn from the center of one gear to the center of the other. If the first gear has
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Show that the following functions are probability density functions for some value of k and determine k. Then, determine the mea
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The given function is equal to:

f(x)=kx^2

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\int\limits^y_0 {kx^{2} } \, =1

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a) Ex=\int\limits^y_0 {xf(x)} \, dx =\int\limits^y_0 {x*0.00025x^{2} } \, dx =17.5

b)Vx=Ex^{2} -(Ex)^{2} =\int\limits^y_0 {x^{2}f(x) } \, dx-17.5^{2}  =\int\limits^y_0 {x^{2} *0.00025x^{2} } \, dx -17.5^{2} =321.82-306.25=15.6

c) The function is equal to:

f(x)=k(1+2x)

\int\limits^y_0 {k(1+2x)} \, =1

where y=20

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Ex=\int\limits^y_0 {xf(x)} \, dx =\int\limits^y_0 {x*0.0024(1+2x)} \, dx =13.3

d) Vx=Ex^{2} -(Ex)^{2} =\int\limits^y_0 {x^{2} f(x)} \, dx -13.3^{2}=\int\limits^y_0 {x^{2} *0.0024(1+2x)} \, dx-13.3^{2}   =198.4-176.89=21.51

8 0
3 years ago
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