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3 years ago

7

Which point (x,y) is a solution to the system of linear equations?

1 answer:

alukav5142 [94]3 years ago

5 0

You need to post the two equations that make up the “system”

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(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

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

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

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

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

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

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

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

$0.4+0.7-P(A\cap B)\geq 0.7$

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

$-P(A\cap B)\geq -1.1+0.7=-0.4$

Multiply by (-1) on both sides

$P(A\cap B)\leq 0.4$

Hence, $0.1\leq P(A\cap B)\leq 0.4$

3 0

3 years ago

Two thirds of a number is no more than -10

Aliun [14]

Let x be the number in the problem. When it states that x is "no more than -10", it means than it is less than or equal to -10. So, we have

$\frac{2}{3}$ x≤-10

In order to cancel out the $\frac{2}{3}$ on the left and isolate x, we multiply both sides by $\frac{3}{2}$ (since $\frac{3}{2}$ · $\frac{2}{3}$ =1). Thus, we have

x≤-10· $\frac{3}{2}$ =-15

Therefore, x≤-15

7 0

3 years ago

Someone answer this random question

gayaneshka [121]

Answer:

hmmmmm... thats a tough one

its probably ur mom

Step-by-step explanation:

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4 years ago

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PLs Help..............

Gennadij [26K]

Answer:

sorryyyy i dont know the answer :-(

Step-by-step explanation:

sorryy

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2 years ago

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Write an equation in slope-intercept form for the line with slope -1/4

jarptica [38.1K]

Answer:

The equation would be Y=-1/4X+5

And in the above pic , i have graph the line , too .

Good luck ^.^

3 0

3 years ago