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UkoKoshka [18]
2 years ago
7

Serena wants to determinethe area of the lawn the grass part of her front yard using the information given in the diagram below

Serena knows that she needs to divide by 9 to change the units from square yards so she writes the expression below to determine the area of grass in square yards
Mathematics
1 answer:
vivado [14]2 years ago
7 0

Answer:

The answer is 295 square yards.

Step-by-step explanation:

[48(72-12)-15^2] divide by 9

3456-576-225 divide by 9

Subtract 3456 by 576

2880-255

2655 divide by 9

=295 square yards.

Hope this helped!

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According to a study conducted by the Toronto-based social media analytics firm Sysomos, 71% of all tweets get no reaction. That
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Answer:

Let X the random variable of interest "number of tweets with no reaction", on this case we now that:

X \sim Binom(n=100, p=0.71)

And the expected value is given by:

E(X) = np =100*0.71 = 71

So we expect about 71 tweets with no reaction for this case.

Step-by-step explanation:

Previous concepts

A Bernoulli trial is "a random experiment with exactly two possible outcomes, "success" and "failure", in which the probability of success is the same every time the experiment is conducted". And this experiment is a particular case of the binomial experiment.

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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!}  

Solution to the problem

Let X the random variable of interest "number of tweets with no reaction", on this case we now that:

X \sim Binom(n=100, p=0.71)

And the expected value is given by:

E(X) = np =100*0.71 = 71

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3 0
2 years ago
A four-person committee is chosen from a group of eight boys and six girls. If students are chosen at random, what is the probab
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Answer: 0.07

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p1 = 8/14.

For the second selection we do the same, but we already slected a boy, so now the number of boys is 7, and the total number of posibilities is 13.

p2 = 7/13.

for the third selection we do the same, in this case the probability is

p3 = 6/12

for the fourth selection the probability will be:

p4 = 5/11

The joint probability, of all the events happening at the same time, is equal to the product of the singular probabilities:

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2 years ago
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