Simplify (4.5)(5)(−2). (1 point) 45 4.5 −4.5 −45

(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

2 years ago

What is 8y=48 what is the answer to the problem

valkas [14]

48 divided by 8 equals 6

so y = 6

7 0

2 years ago

Read 2 more answers

Question 6(Multiple Choice Worth 1 points) (06.01 LC) Choose the correct classification of 5x + 2x2 − 8 by number of terms and b

Yakvenalex [24]

Question 7: Choose the correct simplification of the expression (3x − 6)(2x2 − 4x − 5)

Answer:

7. 6x³ - 12x² + 12x + 15

Step-by-step explanation:

(3x-6)(2x² - 4x - 5)

3x • 2x² = 6x³

3x • -4x = -12x²

3x • -5 = -15

-6 • 2x² = -12x²

-6 • -4x = 24x

-6 • -5 = 30

combine terms

6x³ - 12x² - 15 - 12x² + 24x + 30

combine like terms

6x³ - 24x² + 24x + 15

hope this helps :)

in the future, only ask one question per brainly submission. thanks!

7 0

2 years ago

X-y=-3 Anyone know how to do this ?

horsena [70]

X - y = -3

Move constant to the left by adding its opposite to both sides

x - y + 3 = -3 + 3

The sum of two opposites equals

your answer would be: x - y + 3 = 0

7 0

1 year ago

Une particule se déplace le long de la courbe y = 2x 2 – x + 3 et son abscisse est donnée par x = t 3 – 2t. Trouver la vitesse d

Mars2501 [29]

2*2=4 first you multiply
4-1=3 then subtract
3+3=6 now you add and that is your answer =6

7 0

2 years ago