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Bingel [31]
2 years ago
13

Which of the following shows the correct solution in simplifying (-5-2 x 3)-1.

SAT
1 answer:
Roman55 [17]2 years ago
8 0

The correct solution in simplifying the given mathematical expression is -\frac{25}{x^3}.

<u>Given the following data:</u>

  • (-5^{-2}x^3)^{-1}

To determine the correct solution in simplifying the given mathematical expression:

In this scenario, you're required to simplify the given mathematical expression in its simplest form.

<h3>How to simplify a mathematical expression.</h3>

<u>Step 1:</u> We would apply the basic law of division for fractions.

(-5^{-2}x^3)^{-1}=(\frac{-1}{5^2} \times x^3)^{-1}\\\\

<u>Step 2:</u> We would expand the bracket.

(\frac{-1}{5^2} \times x^3)^{-1}=(\frac{-x^3}{5^2} )^{-1}\\\\(\frac{-x^3}{5^2} )^{-1}=(\frac{-x^3}{25} )^{-1}\\\\

<u>Step 3:</u> We would apply the inverse of fraction.

(\frac{-x^3}{25} )^{-1}= -\frac{25}{x^3}

Read more on law of division here: brainly.com/question/19660239

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About ​% of the population of a large country is. If two people are randomly​ selected, what is the probability both are ​? what
mezya [45]

Using the binomial distribution, it is found that there is a:

  • 0.0036 = 0.36% probability that both are allergic to pollen.
  • 0.1164 = 11.64% probability that at least one is allergic to pollen.

<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:

  • x is the number of successes.
  • n is the number of trials.
  • p is the probability of a success on a single trial.

Researching the problem on the internet, it is found that:

  • 6% of the population is allergic to pollen, hence p = 0.06.
  • Two people are chosen at random, hence n = 2.

The probability that both are allergic is P(X = 2), hence:

P(X = 2) = 0.06^2 = 0.0036.

0.0036 = 0.36% probability that both are allergic to pollen.

The probability of at least one is:

P(X >= 1) = 1 - P(X = 0) = 1 - 0.94^2 = 1 - 0.8836 = 0.1164.

0.1164 = 11.64% probability that at least one is allergic to pollen.

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

4 0
2 years ago
How does paragraph 16 contribute to the<br> development of ideas in the text?
just olya [345]
We have no idea what your reading hahha
5 0
3 years ago
You are using an approved third party tool in your client project and find a bug in it
marta [7]

No, you cannot decompile the code because it's a violation of the third party's intellectual property rights.

<h3>What is an intellectual property right?</h3>

An intellectual property (IP) right can be defined as a type of right given to an innovator by the government, especially for an intangible and innovative creation of the mind that solely depends on human intellect.

In this context, we can infer and logically deduce that you can't decompile the code for this approved third party tool because it's a violation of the third party's intellectual property rights.

Read more on intellectual property here: brainly.com/question/397668

#SPJ1

3 0
2 years ago
Which of the following describes ladue's feelings about his actions?.
shtirl [24]

Answer:

there is no following

Explanation:

6 0
2 years ago
How does the author portray scotty in this excerpt? his confidence is transformed by the crowd’s response. His musical ability i
alexandr402 [8]

The way that the author portrays Scotty in the given excerpt is that; A: His confidence is transformed by the crowd’s response

<h3>What does the authors excerpt portray?</h3>

The given excerpt is taken from a fiction book titled "A Visit from the Goon Squad" written in 2011  by American author Jennifer Egan.

At the beginning of the excerpt, we have a clear clue that would lead us to the fact that his confidence is transformed by the crowd's response which is that "... a swell of approval palpable as rain lifted from the center of the crowd and rolled out toward its edges...".

The meaning of that quoted statement at the beginning of the excerpt is that the crew was encouraging him due to the fact that they liked what they were watching and feeling. Thus, the passage describes how the crew reacted and how it gave strength to him to go on the stage and perform on it.

Read more about authors excerpts at; brainly.com/question/1024894

7 0
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