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2 years ago

There are 20 tiles in a bag. Of these, 9 are purple, 5 are black and the rest are white.

1 answer:

5 0

$P(B|A)=\dfrac{P(A\cap B)}{P(A)}\\\\
|\Omega|=20\cdot19=380\\
|A|=6\cdot19=114\\
|A\cap B|=6\cdot5=30\\\\
P(A)=\dfrac{114}{380}=\dfrac{3}{10}\\
P(A \cap B)=\dfrac{30}{380}=\dfrac{3}{38}\\\\
P(B|A)=\dfrac{\dfrac{3}{38}}{\dfrac{3}{10}}\\\\
P(B|A)=\dfrac{3}{38}\cdot\dfrac{10}{3}=\dfrac{5}{19}\Rightarrow \text{B}


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Use the distributive property to simplify the expression 5 ( − 1 x − 6 + 6 y )

expeople1 [14]

Answer:

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In this question, we have to identify the zeros of the polynomial, along with a point, and then we get that the formula for the polynomial is:

$p(x) = -0.5(x^3 - x^2 + 6x)$

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Equation of a polynomial, according to it's zeros:

Given a polynomial f(x), this polynomial has roots such that it can be written as: , in which a is the leading coefficient.

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Identifying the zeros:

Given the graph, the zeros are the points where the graph crosses the x-axis. In this question, they are:

$x_1 = -2, x_2 = 0, x_3 = 3$

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$p(x) = ax(x+2)(x-3)$

$p(x) = ax(x^2 - x + 6)$

$p(x) = a(x^3 - x^2 + 6x)$

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Leading coefficient:

Passes through point (2,-8), that is, when $x = 2, y = -8$ , which is used to find a. So

$p(x) = a(x^3 - x^2 + 6x)$

$-8 = a(2^3 - 2^2 + 6*2)$

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Considering the zeros and the leading coefficient, the formula is:

$p(x) = -0.5(x^3 - x^2 + 6x)$

A similar problem is found at brainly.com/question/16078990

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