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2 years ago

7

What is the greatest common factor of 18 and 45

1 answer:

lisov135 [29]2 years ago

5 0

The prime factorization of 18 is: 2 x 3 x 3.
The prime factorization of 45 is: 3 x 3 x 5.
The prime factors and multiplicities 18 and 45 have in common are: 3 x 3.
3 x 3 is the gcf of 18 and 45.
gcf(18,45) = 9.

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Write the percent as a fraction in simplest form 50%

12345 [234]

Answer:

1/2

Step-by-step explanation:

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2 years ago

(Anderson, 1.14) Assume that P(A) = 0.4 and P(B) = 0.7. Making no further assumptions on A and B, show that P(A ∩ B) satisfies 0

Goshia [24]

Answer with Step-by-step explanation:

We are given that

P(A)=0.4 and P(B)=0.7

We know that

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

We know that

Maximum value of $P(A\cup B)$ =1 and minimum value of $P(A\cup B)$ =0

$0\leq P(A\cup B )\leq 1$

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$0\leq 0.4+0.7-P(A\cap B)\leq 1$

$0\leq 1.1-P(A\cap B)\leq 1$

$0\leq 1.1-P(A\cap B)$

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It is not possible that $P(A\cap B)$ is equal to 1.1

$1.1-P(A\cap B)\leq 1$

$-P(A\cap B)\leq 1-1.1=-0.1$

Multiply by (-1) on both sides

$P(A\cap B)\geq 0.1$

Again, $P(A\cup B)\geq P(B)$

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$1.1-P(A\cap B)\geq 0.7$

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Multiply by (-1) on both sides

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3 0

2 years ago

Please answer and show work.

andrew11 [14]

Simplifying
9 + -2x = 35

Solving
9 + -2x = 35

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-9' to each side of the equation.
9 + -9 + -2x = 35 + -9

Combine like terms: 9 + -9 = 0
0 + -2x = 35 + -9
-2x = 35 + -9

Combine like terms: 35 + -9 = 26
-2x = 26

Divide each side by '-2'.
x = -13

Simplifying
x = -13

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Answer:

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