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2 years ago

Factor the polynomial 25wx - 5wy - 5xz + yz

Mathematics

1 answer:

Andrews [41]2 years ago

7 0

5x(5w-z) -y(5w-z)
(5x-y)(5w-z)

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the following table shows a proportional relationship between a and b . write an equation to describe the relationship between a

FrozenT [24]

The rule of given table is (a÷2)-(b÷3).

Step-by-step explanation:

From the given table it is clear that

8 becomes 3

24 becomes 9

40 becomes 15

Rule

(8÷2)-(3÷3) = (4-1) = 3

(24÷2)-(9÷3) = (12-3) = 9

(40÷2)-(15÷3) = (20-5) = 15

So, the equation will be

(a÷2)-(b÷3)

4 0

2 years ago

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Suppose that on the average, 7 students enrolled in a small liberal arts college have their automobiles stolen during the semest

Galina-37 [17]

Answer:

$P(x>1)=0.9927$

Step-by-step explanation:

From the question we are told that:

Mean $\=x =7$

Generally the Poisson equation for \=x is mathematically given by

$P(x>1)=1-P(x \leq 1)$

Therefor

$P(x>1)=1-(\frac{e^{-7}*7^0}{0!}+{\frac{e^{-7}*7^1}{1!})$

$P(x>1)=1-(9.1*10^{-4}+6.3*10^{-3})$

$P(x>1)=1-(7.3*10^{-3}$

$P(x>1)=0.9927$

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2 years ago

Mrs. Williams is deciding between two field trips for her class. The Science Center charges $120 plus $5 per student. The Dino D

DanielleElmas [232]

Answer:

The Science Center charge less than the Dino Discovery museum for more then 10 students

Step-by-step explanation:

Let us assume that the number of students are x .

Let us assume that the total charge for x students be y.

As given

Mrs. Williams is deciding between two field trips for her class.

The Science Center charges $120 plus $5 per student.

Than the equations becomes

y = 120 + 5x

The Dino Discovery Museum simply charges $7 per student.

y = 7x

Than

$120 + 5x < 7x$

$120 < 7x - 5x$

$120 < 2x$

$\frac{120}{12} < x$

$10 < x$

Therefore the Science Center charge less than the Dino Discovery museum for more then 10 students.

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2 years ago

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Mashutka [201]

8175 because the 3 percent of 3 years is 675

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A box contains 2 plain pencils and 2 pens. A second box contains 7 color pencils and 3 crayons. One item from each box is chosen

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In the box containing the 2 plain pencils and 2 pens, there would be a 50% chance of getting a pen. In the other box containing 7 color pencils and 3 crayons there would be a 30% chance of getting a crayon.

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