<img src="https://tex.z-dn.net/?f=f%28x%29%3D%28x%2B4%29%5E2%5C%5C" id="TexFormula1" title="f(x)=(x+4)^2\\" alt="f(x)=(x+4)^2\\"

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Thepotemich [5.8K]

3 years ago

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Mathematics

1 answer:

Yuri [45]3 years ago

3 0

Answer:

x²+8x+16

Step-by-step explanation:

f(x) = (x+4)²

= (x+4)(x+4)

= x² + 4x + 4x + 16

= x² + 8x + 16

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Multiply (-6 + i)(-2 + 9i).

malfutka [58]

Answer:

Step-by-step explanation:

go with that and you may win at this multiply question

4 0

3 years ago

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The results of a swim Wet are shown. Who swam faster explain your reasoning

kolbaska11 [484]

Answer:

The Susana swam the fastest.

Step-by-step explanation:

Speed : It is defined as the distance traveled per unit time.

Formula used : $Speed = \frac{Distance}{Time}$

First we have to determine speed of the following persons.

For Tawni :

Distance = 50 m

Time = 40.8 s

1.225 m/s which is the speed of Tawni.

For Pepita :

Distance = 100 m

Time = 60.2 s

1.661 m/s which is the speed of Pepita

For Susana :

Distance = 200 m

Time = 112.4 s

1.779 m/s which is the speed of Susana

From this we conclude that, in this problem meter affects the response and the speed of Susana is more than the Pepita and Tawani.

Thus, Susana swam the fastest.

7 0

3 years ago

You are at a stall at a fair where you have to throw a ball at a target. There are two versions of the game. In the first

Tomtit [17]

Answer:

$P(X=0)=(3C0)(0.1)^0 (1-0.1)^{3-0}=0.729$

And the probability of loss with the first wersion is 0.729

$P(Y=0)=(5C0)(0.05)^0 (1-0.05)^{5-0}=0.774$

And the probability of loss with the first wersion is 0.774

As we can see the best alternative is the first version since the probability of loss is lower than the probability of loss on version 2.

Step-by-step explanation:

Previous concepts

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

Solution to the problem

Alternative 1

Let X the random variable of interest, on this case we now that:

$X \sim Binom(n=3, p=0.1)$

The probability mass function for the Binomial distribution is given as:

$P(X)=(nCx)(p)^x (1-p)^{n-x}$

Where (nCx) means combinatory and it's given by this formula:

$nCx=\frac{n!}{(n-x)! x!}$

We can find the probability of loss like this P(X=0) and if we find this probability we got this:

$P(X=0)=(3C0)(0.1)^0 (1-0.1)^{3-0}=0.729$

And the probability of loss with the first wersion is 0.729

Alternative 2

Let Y the random variable of interest, on this case we now that:

$Y \sim Binom(n=5, p=0.05)$

The probability mass function for the Binomial distribution is given as:

$P(Y)=(nCy)(p)^y (1-p)^{n-y}$

Where (nCx) means combinatory and it's given by this formula:

$nCy=\frac{n!}{(n-y)! y!}$

We can find the probability of loss like this P(Y=0) and if we find this probability we got this:

$P(Y=0)=(5C0)(0.05)^0 (1-0.05)^{5-0}=0.774$

And the probability of loss with the first wersion is 0.774

As we can see the best alternative is the first version since the probability of loss is lower than the probability of loss on version 2.

4 0

4 years ago

Helppp me please...?.?)

butalik [34]

The answer would be 16 because 40 divided by 5 is 8 and 8 times 2 is sixteen so it would be 16

8 0

3 years ago

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Write an expression for the following statement(s), and then list each operation

NeX [460]

Let's assign variables for the unknowns. Let x be the amount of total sales while x is the amount of net sales. It is called net sales because a percentage is still deducted from it. The equation will be written as:

Net Sale = Total Sales - 0.25*Total Sales
y = x - 0.25x
y = 0.75x

4 0

3 years ago