The correct congruence statement is SSS, or Side-Side-Side. We see that lines QD and MC are equivalent, QJ and MW are equivalent, and lines DJ and CW are equivalent

4 0

2 years ago

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P(A)=0.22 and P(B)=0.46 <br> Find P(A OR B)

morpeh [17]

In general, the probability of a disjunction is

$P(A \lor B) = P(A)+P(B)-P(A\cap B)$

In this case, A and B are mutually exclusive, so $P(A\cap B)=0$

This simplifies the formula to

$P(A \lor B) = P(A)+P(B) = 0.22+0.46 = 0.68$

4 0

2 years ago

NEED HELP WITH THIS PROBLEM!!!!!!

zzz [600]

Answer:

$\displaystyle\frac{\sqrt[4]{3x^2}}{2y}$

Step-by-step explanation:

It can work well to identify 4th powers under the radical, then remove them.

$\displaystyle\sqrt[4]{\frac{24x^6y}{128x^4y^5}}=\sqrt[4]{\frac{3x^2}{16y^4}}=\sqrt[4]{\frac{3x^2}{(2y)^4}}\\\\=\frac{\sqrt[4]{3x^2}}{2y}$

_____

The applicable rules of exponents are ...

1/a^b = a^-b

(a^b)(a^c) = a^(b+c)

The x-factors simplify as ...

x^6/x^4 = x^(6-4) = x^2

The y-factors simplify as ...

y/y^5 = 1/y^(5-1) = 1/y^4

The constant factors simplify in the usual way:

24/128 = (8·3)/(8·16) = 3/16

3 0

2 years ago