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2 years ago

Let a line l be given in the coordinate plane. What linear equation is the graph of line l?

Mathematics

1 answer:

LUCKY_DIMON [66]2 years ago

3 0

Answer:

y=2/7x+2.5

Step-by-step explanation:

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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

In the city, the dust and between the library and the police station is 3 miles less than twice the distance between the police

alina1380 [7]

Answer:

7 miles

Step-by-step explanation:

Let's call the distance between the library and police station x. Then, the distance between the police station and fire station would be 3 less than twice x. Twice means multiply by 2 so twice x is 2 * x = 2x and 3 less than means that you subtract 3 so 3 less than 2x is 2x - 3. Now, we know that x = 5 so all we have to do now is substitute x = 5 into 2x - 3, therefore, the answer is 2 * 5 - 3 = 7 miles.

4 0

3 years ago

A cylinder had a diameter of 17 cm and a height of 11 cm. ehat is the volume of the cylinder

tester [92]

Answer:

2496.78

Step-by-step explanation:

7 0

3 years ago

By how much in total value is the 1 in 87 614 greater than 4?

77julia77 [94]

Answer:

Step-by-step explanation:

14=10 + 4

14-4 =10

....................

8 0

3 years ago

Jada ran 15.25 kilometers. Han ran 8,500 meters. Who ran farther?

Thepotemich [5.8K]

Answer:

Jada

Step-by-step explanation:

We are given Jada's distance in kilometers and Han's distance in meters. To compare the two we need to have them both in the same unit of measurement.

One kilometer is equal to 1000 meters, so Jada ran 15.25*1000=15250 meters.

Compared to Han, who ran 8500 meters, Jada ran farther. 15250>8500.

4 0

2 years ago