Three different ways to put 6(3x + 8) + 32 + 12x

Mathematics

1 answer:

Sever21 [200]3 years ago

3 0

Answer:

Writing 6(3x + 8) + 32 + 12x in 3 different ways:

w₁ = 18x + 48 + 32 + 12x

∵ 6(3x + 8) = 18x +48 as distribute law suggests that a(b + c) = ab + ac

w₂ = 18x + 80 + 12x ∵ 48 + 32 = 80

w₂ = 30x + 80 ∵ 18x + 12x = 30x

Step-by-step explanation:

As the expression is 6(3x + 8) + 32 + 12x, and we have to write it in three different ways. Using the properties of operations we can write it in three different ways,

Let way one be denoted as w₁

Let way two be denoted as w₂

Let way three be denoted as w₃

So, lets write 6(3x + 8) + 32 + 12x in 3 different ways:

w₁ = 18x + 48 + 32 + 12x

∵ 6(3x + 8) = 18x +48 as distribute law suggests that a(b + c) = ab + ac

w₂ = 18x + 80 + 12x ∵ 48 + 32 = 80

w₂ = 30x + 80 ∵ 18x + 12x = 30x

Keywords: operation properties, distributive law

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Ruby has a bird feeder which is visited by an average of 13 birds every 2 hours during daylight hours. What is the probability t

zalisa [80]

Answer:

62.93%

Step-by-step explanation:

We have to solve it by a Poisson distribution, where:

p (x = n) = e ^ (- l) * l ^ (x) / x!

Where he would come being the number of birds that there would be in 40 minutes, we know that in 2 hours, that is 120 minutes there are 13, therefore in 40 there would be:

l = 13 * 40/120

l = 4,333

Now, we have p (x> 3) and that is equal to:

p (x> 3) = 1 - p (x <= 3)

So, we calculate the probability from 0 to 3:

p (x = 0) = 2.72 ^ (- 4.33) * 4.33 ^ (0) / 0! = 0.01313

p (x = 1) = 2.72 ^ (- 4.33) * 4.33 ^ (1) / 1! = 0.0568

p (x = 2) = 2.72 ^ (- 4.33) * 4.33 ^ (2) / 2! = 0.12310

p (x = 3) = 2.72 ^ (- 4.33) * 4.33 ^ (3) / 3! = 0.17767

If we add each one:

0.01313 + 0.0568 + 0.12310 + 0.17767 = 0.3707

replacing: