Mathematics: Factor completely. 81 p 8 − 100 =

Factor completely. 81 p 8 − 100 = - id81810014665948, memoryofdale

baegel

24.10.2021

(Hope this helps can I pls have brainlist (crown)☺️)

Step-by-step explanation:

Since both terms are perfect squares, factor using the difference of squares formula, a^2 − b^2 = ( a + b ) ( a − b ) where a = 9 p^4 and b = 10 .

= ( 9 p^4 + 10 ) ( 9 p^4 − 10 )

details in pic

(Credit: Symbolab)

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m8v3ngang3

24.10.2021

Step-by-step explanation:

$81p^8-100=(9p^4)^2-10^2\]\]=(9p^4+10)(9p^4-10)\]\[=((3p^2)^2-(\sqrt{10} )^2])\]\\=(3p^2+\sqrt{10} )(3p^2-\sqrt{10} )\\$

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aliyahaliyah54

05.04.2021

Step-by-step explanation:

Let X be the no of vehicles that require warranty service within I year out of vehicles sold (9) yesterday.

Each vehicle is independent of the other to get warranty service

Hence X is binomial with p=8% = 0.08

So P(X=x) = $9Cx (0.08)^x (1-0.08)^{9-x} ,x=0,1,2...9$

$a) P(X=0) = 0.472161\\b) P(x=1) = 0.3695$

c) P(X=2) = 0.1285

d) Mean = Mean of binomial = np =

9(0.08) = 0.72

Var (x) = npq = 0.6624

Std dev = square root of variance = 0.8139

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