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Vilka [71]
2 years ago
5

HELP ME PLZ ANSER ALL 50 POINTS​

Mathematics
2 answers:
stiks02 [169]2 years ago
8 0

The commutative property states that we can sum the terms in different orders and the result will be the same:

a+b=b+a

So for the expression 4x + 3, we can write:

4x+3=3+4x

The associative property states that we can group the operations of sum and subtraction in different orders and the result is the same:

a+(b+c)=(a+b)+c

So for 6 + (9 + 7) we have:

6+(9+7)=(6+9)+7

The distributive property states the following:

a⋅(b+c)=a⋅b+a⋅c

So for (4x + 3y + 2z) * 7, we have:

(4x+3y+2z)⋅7=28x+21y+14z

Using the commutative property for 5a + 15b, we have:

5a+15b=15b+5a

max2010maxim [7]2 years ago
3 0

Step-by-step explanation:

Commutative means a + b = b + a

So, 4x + 3 = 3 + x

Associative means a + (b + c) = (a + b) + c

So, 6 + (9 + 7) = (6 + 9) + 7

Distributive means expand the bracket a * (b + c) = a*b + a*c

So, (4x + 3y + 2z) * 7 = 4x*7 + 3y*7 + 2z*7

Commutative is a + b = b + a

So, 15a + 15b = 15b + 15a

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Suppose that an experiment consists of flipping a coin 3 times and observing the resulting sequence of heads and tails. Find the
ki77a [65]

Using the binomial distribution, it is found that there is a 0.125 = 12.5% probability of observing exactly 3 tails.

<h3>What is the binomial distribution formula?</h3>

The formula is:

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

C_{n,x} = \frac{n!}{x!(n-x)!}

The parameters are:

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  • n is the number of trials.
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In this problem, considering 3 tosses of a fair coin, the parameters are n = 3 and p = 0.5.

The probability of 3 tails is P(X = 3), hence:

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 3) = C_{3,3}.(0.5)^{3}.(0.5)^{0} = 0.125

0.125 = 12.5% probability of observing exactly 3 tails.

More can be learned about the binomial distribution at brainly.com/question/24863377

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The second one. 4/6 and 2/3

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