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lyudmila [28]
3 years ago
8

WILL GIVE BRAINLIEST!!!!!!!!!!

Mathematics
1 answer:
Elan Coil [88]3 years ago
5 0

Answer:

Approximately 0.51

Step-by-step explanation:

If events A and B are independent, then P(A and B) = P(A)*P(B) is a true equation.

We're given the following

     P(A) = 0.65

     P(A and B) = 0.33

So,

P(A and B) = P(A)*P(B)

0.33 = 0.65*P(B)

P(B) = 0.33/0.65

P(B) = 0.5076923076923

which is approximate. When we round to 2 decimal places, we get 0.51

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Step-by-step explanation:

\begin{gathered} \text{Given that y varies directly as the square of x} \\ \text{This implies that there is a positive relationship betwe}en\text{ y and the square of z} \\ \text{Mathematically, this can be expressed as} \\ y\text{ }\propto x^2 \\ To\text{ turn this expression into an equation, we n}eed\text{ to introduce a proportionality constant k} \\ y=kx^2 \\ \text{ According to the question, y = 20 and x = 2} \\ \text{From the above informaion we can find our k} \\ y=kx^2 \\ 20\text{ = k }\cdot2^2 \\ 20\text{ = k }\cdot\text{ 4} \\ \text{Divide both sides by 4} \\ \frac{20}{4}\text{ = }\frac{k\cdot\text{ 4}}{4} \\ k\text{ = 5} \\ \text{ Find y when }x\text{ = 3} \\ y=kx^2 \\ y\text{ = 5 }\cdot(3)^2 \\ y\text{ = 5 }\cdot\text{ 9} \\ y\text{ = 45} \end{gathered}

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