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Elis [28]
2 years ago
5

Please help me .. I really need help with this ASAP ​

Mathematics
1 answer:
morpeh [17]2 years ago
4 0

Given:

Number of flower pots = 6

To find:

The number of ways of the gardener to arrange the flower pots.

Solution:

Number of ways to arrange n items is n!.

So, the number of ways to arrange 6 pots is:

6!=6\times 5\times 4\times 3\times 2\times 1

6!=720

Therefore, there are total 720 ways of the gardener to arrange the flowerpots.

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A diner has collected data about customer coffee-drinking habits. They have calculated that P(cream) = 0.5, P(sugar) = 0.6, and
frozen [14]

Answer:

P(cream and sugar) = 0.4

Step-by-step explanation:

* Lets study the meaning of or , and on probability

- The use of the word or means that you are calculating the probability

 that either event A or event B happened

-  Both events do not have to happen

- The use the word and, means that both event A and B have to happen

* The addition rules are:

# P(A or B) = P(A) + P(B) ⇒ mutually exclusive (events cannot happen

 at the same time)

# P(A or B) = P(A) + P(B) - P(A and B) ⇒ non-mutually exclusive (if they

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- The union is written as A∪B or “A or B”.

- The intersection is written as A∩B or “A and B”

* Lets solve the question

∵ P(cream) = 0.5

∵ P(sugar) = 0.6

∵ P(cream or sugar) = 0.7

- To find P(cream and sugar) lets use the rule of non-mutually exclusive

∵ P(A or B) = P(A) + P(B) - P(A and B)

∴ P(cream or sugar) = P(cream) + P(sugar) - P(cream and sugar)

- Lets substitute the values of P(cream) , P(sugar) , P(cream or sugar)

 in the rule

∵ 0.7 = 0.5 + 0.6 - P(cream and sugar) ⇒ add the like terms

∴ 0.7 = 1.1 - P(cream and sugar) ⇒ subtract 1.1 from both sides

∴ 0.7 - 1.1 = - P(cream and sugar)

∴ - 0.4 = - P(cream and sugar) ⇒ multiply both sides by -1

∴ 0.4 = P(cream and sugar)

* P(cream and sugar) = 0.4

5 0
3 years ago
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Solve for x: 2/3+1/3=2x
Nonamiya [84]
The answer is x = 1/2
7 0
3 years ago
Read 2 more answers
How to round 64781 in thousands
irina1246 [14]

Answer:

65000

Step-by-step explanation:

Just round the number

6 0
3 years ago
Write the Rational Expression in simplest form. <img src="https://tex.z-dn.net/?f=%5Cfrac%7Bx%5E2-x-6%7D%7B24-5x-x%5E2%7D" id="T
Liula [17]

Answer:

-(x+2)/(x+8)

Step-by-step explanation:

( x^2 -x-6)

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24 - 5x -x^2

Factor out a minus sign from the denominator

( x^2 -x-6)

------------------

-( x^2 +5x -24)

Factor the numerators and the denominators

( x-3) (x+2)

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-( x+8)(x-3)

Cancel like terms

  x+2

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-(x+8)

4 0
3 years ago
Find the measure of &lt; B
Vinvika [58]

The measure of angle b is 25°.

Solution:

Given data:

The "L" shape angle is a right angle.

Right angle is splitted by another line and two angles are formed.

One angle is 65° and the other angle is b.

Let us find the other angle b.

65° + m∠b = 90°

Subtract 65° from both sides of the equation.

m∠b = 90° – 65°

m∠b = 25°

Hence the measure of angle b is 25°.

6 0
3 years ago
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