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Umnica [9.8K]
3 years ago
13

A student claims that the expression “9 times the sum of a number and 13" is translated to the algebraic expression 9n + 13. Is

the student correct? If not, what is the correct expression?​
Mathematics
2 answers:
Ronch [10]3 years ago
8 0

Answer:

Sample Response: The student is not correct. He should use parentheses like this 9(n+13). Without the parentheses, it means nine times n plus 13, but should be the sum of n plus 13 multiplied by 9.

FrozenT [24]3 years ago
4 0

Answer:

No, the student is not correct. The correct expression is 9(n+13).

Step-by-step explanation:

"9 times the sum of a number and 13" means you must multiply 9 by the sum, not just by the number. 9n + 13 would be "the sum of 9 times a number and 13." Slightly different wording.

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3 years ago
Suppose that 50% of all babies born in a particular hospital are boys. If 6 babies born in the hospital are randomly selected, w
WINSTONCH [101]

Using the binomial distribution, it is found that there is a 0.3438 = 34.38% probability that fewer than 3 of them are boys.

<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.

In this problem, the values of the parameters are given as follows:

n = 6, p = 0.5.

The probability that fewer than 3 of them are boys is given by:

P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2)

In which:

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

P(X = 0) = C_{6,0}.(0.5)^{0}.(0.5)^{6} = 0.0156

P(X = 1) = C_{6,1}.(0.5)^{1}.(0.5)^{5} = 0.0938

P(X = 2) = C_{6,2}.(0.5)^{2}.(0.5)^{4} = 0.2344

Then:

P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2) = 0.0156 + 0.0938 + 0.2344 = 0.3438

0.3438 = 34.38% probability that fewer than 3 of them are boys.

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

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7 0
2 years ago
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lisabon 2012 [21]

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Answer:

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Step-by-step explanation:

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  B'C' = 1 unit

  BC = 3 units

The scale factor is B'C'/BC = 1/3.

_____

<em>Additional comment</em>

The center of dilation in this figure is 3 units below D' on the same vertical line. (It is 1 unit off the bottom of the grid shown.)

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3 years ago
The spill covered 11,000 square miles of ocean. The oil spread out in a circular pattern and the radius increased by 0.10mph. Us
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