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3 years ago

13

there are 4 red balls, 6 white balls, and 3 blue balls in a bag. if one ball is drawn from from the bag at random. what time is

the probability that it is not white?

2 answers:

Tom [10]3 years ago

6 0

The probability is 7 out of 13

e-lub [12.9K]3 years ago

6 0

7 out of 13
Or 53.84%

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3 years ago

Write a polynomial function in factored form with double roots at -2 and 5 and the constant term of the polynomial in standard f

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$f(x)=-0.4x^4+2.4x^3+8.4x^2-24x-40$

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If -2 and 5 are double roots of the polynomial function, then the function expression is

$f(x)=a(x-(-2))^2(x-5)^2\\ \\f(x)=a(x+2)^2(x-5)^2$

Rewrite this function in standard form:

$f(x)=a(x^2+4x+4)(x^2-10x+25)\\ \\f(x)=a(x^4-10x^3+15x^2+4x^3-40x^2+100x+4x^2-40x+100)\\ \\f(x)=a(x^4-6x^3-21x^2+60x+100)\\ \\f(x)=ax^4-6ax^3-21ax^2+60ax+100a$

The constant term of the polynomial in standard form is -40, so

$100a=-40\\ \\a=-\dfrac{40}{100}=-0.4$

Therefore, the function expression is

$f(x)=-0.4x^4-6\cdot (-0.4)x^3-21\cdot (-0.4)x^2+60\cdot (-0.4)x+100\cdot (-0.4)\\ \\f(x)=-0.4x^4+2.4x^3+8.4x^2-24x-40$

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4 years ago