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Zigmanuir [339]
3 years ago
7

8. What would be the area of a trapezoid whose bases are 6 m and 14 m with a height of 4 m? * ​

Mathematics
1 answer:
Korolek [52]3 years ago
8 0
A=40m

A=a+b
2h=6+14
2·4=40m²
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dimulka [17.4K]
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3 years ago
Show that the following functions are probability density functions for some value of k and determine k. Then, determine the mea
lord [1]

Answer:

a) 17.5

b) 15.6

c) 13.3

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Step-by-step explanation:

The given function is equal to:

f(x)=kx^2

where

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

where y=23

Clearing k=0.00025

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

k=0.0024

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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7 0
2 years ago
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Elenna [48]

Answer:

See Attachment.

Step-by-step explanation:

To create the new figure, we must multiply each coordinate by the scale factor, which is 1/2 in this case.

So j(-2,2) becomes j'(-1,1)

K(4,2) becomes K'(2,1)

L(4,-2) becomes L'(2,-1)

and M (-2,-2) becomes M'(-1,-1)

The scale factor is between 1 and 0 which means that this dilation is a reduction that will shrink the original figure to a smaller one.

8 0
3 years ago
What is pi^pi^pi^pi^pi^pi^pi^pi = many pi's = 10^(10^(10^(10^(10^(10^17.82364533941695)))))
yuradex [85]

Answer:

Pi is 3.14 for short but, its 3.14159265359

Step-by-step explanation:

The number π is a mathematical constant. It is defined as the ratio of a circle's circumference to its diameter, and it also has various equivalent definitions. It appears in many formulas in all areas of mathematics and physics. It is approximately equal to 3.14159.

4 0
3 years ago
Read 2 more answers
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