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kap26 [50]
2 years ago
13

Can you please tell me how to find the absolute maximum and absolute minimum values of a function???? Thank you!!!!! ​

Mathematics
1 answer:
valkas [14]2 years ago
3 0

Answer:

Yes.

Step-by-step explanation:

In the Quadratic Equation, <em>y</em><em> </em><em>=</em><em> </em><em>Ax</em><em>²</em><em> </em><em>+</em><em> </em><em>Bx</em><em> </em><em>+</em><em> </em><em>C</em><em>,</em><em> </em>two things could happen with your <em>A</em>:

Opens down → Maximum Value [-A]

Opens up → Minimum Value [A]

We can identify the minimum or maximum value of a parabola by identifying the y-coordinate of the vertex. You can use a graph to identify the vertex or you can find the minimum or maximum value algebraically by using the formula x = ⁻ᵇ/₂ₐ. This formula will give you the x-coordinate of the vertex.

I am joyous to assist you anytime.

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Evaluate 3-5 using a number line.​
Alekssandra [29.7K]

Step-by-step explanation:

= 3 - 5

= -2

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2 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
3 years ago
The area A(r)(in square meters) of a circular algae colony with radius r meters is given by A(r)=pir^2. Basically that's A(r)= p
Taya2010 [7]

Answer:

The expression provided by the area (square meters) is given by:  A(t) = pi \frac{100t^{2} }{9}.

Step-by-step explanation:

The area of the algae colony is a function of the radius r (meters), so A(r) = \pi r ^ 2.

The radius of the circle formed by the algae colony is a function of time t (in minutes), so M (t) = \frac{10t }{3}. So,

A(r) = \pi r ^ 2  [Substituting the expression for radius]

A(t) = pi (\frac{10t }{3})^{2} = pi \frac{100t^{2} }{9}

Then the expression provided by the area (square meters) is given by:  A(t) = pi \frac{100t^{2} }{9}.

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For the following right triangle, find the side length x. Round your answer to the nearest hundredth.
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Answer:

x is equal to 15.62 .......

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2 years ago
Express the number in scientific notation.
elixir [45]
3.045*10^-3 is the scientific notation
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