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2 years ago

HELP!! Please I need help with this question

Mathematics

1 answer:

lawyer [7]2 years ago

7 0

Z-4.5 = -1.5

Add 4.5 to each side:
z = -1.5 + 4.5z = 3

Cedric is correct because he used the inverse of subtraction and added 4.5.

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Please help!

Mrrafil [7]

Answer:

$\sf C. \quad \dfrac{1}{9}$

Step-by-step explanation:

<u>Addition Law for Probability</u>

$\sf P(A \cup B)=P(A)+P(B)-P(A \cap B)$

Given:

$\sf P(A)=\dfrac{1}{3}=\dfrac{3}{9}$

$\sf P(B)=\dfrac{2}{9}$

$\sf P(A \cup B)=\dfrac{4}{9}$

Substitute the given values into the formula and solve for P(A ∩ B):

$\implies \sf P(A \cup B) = P(A)+P(B)-P(A \cap B)$

$\implies \sf \dfrac{4}{9} = \sf \dfrac{3}{9}+\dfrac{2}{9}-P(A \cap B)$

$\implies \sf P(A \cap B) = \sf \dfrac{3}{9}+\dfrac{2}{9}-\dfrac{4}{9}$

$\implies \sf P(A \cap B) = \sf \dfrac{3+2-4}{9}$

$\implies \sf P(A \cap B) = \sf \dfrac{1}{9}$

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2 years ago

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